# Scatter Plots And Trend Lines Worksheet Pdf

There is a due date and time preset by me. Use data points to make a Scatter Plot Draw in a Trend Line Use the two points to write the equation of the line. What interpolation and extrapolation are 4. Performance Based Learning and Assessment Task. The table below was taken from Example 1 on page 66 of your textbook. XY (Scatter) charts XY charts are also known by other names like scatter grams or scatter plots. Estimate the number of calories in a fast-food Trend Line Make a scatter plot to represent the data. For instance, you could create a worksheet with rows and columns containing ten years of stock closing prices that would leave you glassy-eyed and numb if you tried to analyze them. The points in a scatter plot often show a pattern, or _____. Scatterplots and correlation in SPSS statstutor Community Project width changes the width of the line Linearly related variables Scatter plot Transform data. two titrations you did in this experiment. How would you expect their shoe sizes to compare? 2. Use a straightedge to draw a trend line. GO for Help Scatter Plots and Equations of Lines 350 Chapter 6 Linear Equations and Their Graphs Lesson 1-6 Use the data in each table to draw a scatter plot. … What I'd like to do is to add a trend line, … so that I can see what the trend would look like … if all the same factors were continue … into the future unchanged. Now that you have a scatter plot in your Excel worksheet, you can now add your trendline. Critical Vocabulary: Scatter Plot, positive correlation, negative correlation, no correlation, trend line,. Draw a trend line and write an equation for the trend line. , This variable is impacted by the other variable and is placed on the y-axis. Using MS Excel, plot the data as a scatter plot, add a trend line, display the line equation and the R value on the plot. When there is a correlation, identify the relationship as linear or nonlinear. Scatter Plot 6. Flom, Peter Flom Consulting, New York, NY ABSTRACT The scatter plot is a basic tool for presenting information on two continuous variables. 9A Scatter Plots LESSON Two sets of data can be graphed as points in a scatter plot. This is also called a trend line. Draw a line graph to show the following temperatures:. Consider the data obtained from a chemical process where the yield of the process is thought to be related to the reaction temperature (see the table below). Use the line of best fit to make a conjecture about the number of passengers on the boat during hour 8. Draw a trend line and write an equation for the trend line. Scatter Plot Worksheet Answer Key Platter of Scots! Wait, Actually, Scatter Plots. Obvious differences between box plots – see examples (1) and (2), (1) and (3), or (2) and (4). Students will write equations for the Line of Best Fit and make predictions in this 21 question Scatter Plots Practice Worksheet. scatter plots, histograms, maps, and dashboards—and shows how to share. Lesson 7: Patterns in Scatter Plots Student Outcomes Students distinguish linear patterns from nonlinear patterns based on scatter plots. 198 Core VocabularyCore Vocabulary CCore or eCConcept nc pt Scatter Plot A scatter plot is a graph that shows the relationship between two data sets. Edraw can also convert all these templates into PowerPoint, PDF or Word templates. MUSIC The scatter plot shows the number of CDs (in millions) that were sold from 1999 to 2005. The bottom chart in this figure shows the same data set as a line chart. Questions in this quiz will ask you about why trend lines are used and what they are called. Draw a scatter plot and determine what relationship, if any, exists in the data. They read scatter plots, determine the trend line, and write a linear equation to match. Huge thanks to all individuals and organisations who share teaching resources. values increase? Does one decrease as the other increases? If neither occurs, Locate the ordered pairs on the graph there is no. After that follow the directions to create a scatter plot. Calculate the rate constant (k) from each graph and add these to the table. Engineering Connection Engineers use simple spreadsheet software to aid in the collection and analysis of data. Explore math with desmos. Writing Equations of Trend Lines Two Points on the Trend Line are (14, 30) and (24, 48) Predict the wingspan of a hawk that is 28in long. Showing top 8 worksheets in the category - Trend Lines. Take a ruler and draw a line as close as possible to all of the points. Scatter Plots Test REVIEW For your test, you will need to know: 1. Lesson 8• 6 Lesson 6: Scatter Plots S. Scatter Plots Algebra 10. Plot force (y-axis) vs. Example 2 Determine a line of fit for the data, and write the equation of the line. How to show trend line in chart only in Excel? As we all know, trend line can obviously display the trend of the data in a nearly future, and sometimes, we just need to show the trend line in chart only for more conveniently view and study. Read and learn for free about the following article: Describing scatterplots (form, direction, strength, outliers). The centre is a focus for research and curriculum development in Mathematics teaching and learning, with the aim of unifying and enhancing mathematical progress in schools and colleges. ) Erosion of a Gorge Practice 10-3 Modeling Data With Lines Practice Course 3 Lesson 10-3. With several data points graphed, a visual distribution of the data can be seen. Reteaching 9-7 Making Predictions from Scatter Plots Example Make a scatter plot and find a trend for the data below. Scatter XY Plots. That is, parents, students, and teachers, can review student data to assess progress and make decisions about future intervention or instructions. Write your equation in y = mx + b form„—-. Scatter plot, Correlation, and Line of Best Fit Exam : Interpret Linear Models ANSWER KEY Mrs Math 1. Graphs and Interpreting Data Scientific Graphs: Most scientific graphs are made as line graphs. Students will write equations for the Line of Best Fit and make predictions in this 21 question Scatter Plots Practice Worksheet. Students then worked with their M&M's to construct scatter plots with positive and negative correlations. … What I'd like to do is to add a trend line, … so that I can see what the trend would look like … if all the same factors were continue … into the future unchanged. line of best fit Example 2: Find the line of best fit for the scatter plot you made on the first page. 1, clusters, outliers, correlation. EXAMPLE 3 Finding a Line of Best Fit The table shows the weekly sales of a DVD and the number of weeks since its release. It’s very important to no miss the data, because this can have the grave negative consequences. deflection (x-axis). The scatter plot below shows their results with the line of best t. NOAA-CalCOFI Research Plan (pdf) CalCOFI at NOAA SWFSC; Ichthyoplankton Ecology; 2012 PICES Award; Graphics & Photos Default contents; Software. Which is the distance of Maggie’s longest jump when she had a running start of 20 feet? A. If you want to know how to make a line plot, just look at Step 1 below to get started. The following scatter plot shows heights and weights of a group of people. Use the line of best fit to make a conjecture about the number of passengers on the boat during hour 8. 48 To display a trend line to illustrate student progress. A scatter plot or scatter diagram is a two-dimensional graph in which the points corresponding to two related factors are graphed and observed for correlation. The coaches of a group of debate teams answered a survey about hours of debate, team practice and number of team wins. They will determine how their answers impacted the correlation of their data, including the influence of outliers. Scatter Plots You would use line plots for the following reasons: • They organize data using bivariate data (two variables). Nov 105:10 PM Scatter Plots *A scatter plots is a display of data. ) Identify the data sets as having a positive, a negative, or no correlation. However, they have a very specific purpose. 14X10^-3 3. In a scatterplot, a dot represents a single data point. The line should have about the same number of points on each side of it. Use data points to make a Scatter Plot Draw in a Trend Line Use the two points to write the equation of the line. Select trend line options. Line Graph Worksheet. Scatter Plot Quiz Name: Date: 1. What is a scatter plot and how do you use it? The scatter plot is an interval recording method that can help you discover patterns related to a problem behavior and specific time periods. Make a scatter plot of the data pairs (years since 1980, population). no correlation b. ” It is designed to manage, manipulate, and display data. scatter plot of her data and drew a trend line. However, they have a very specific purpose. Printableworksheets. Chapter 8: Plotting: Origin’s Built-in Graph Types 2D Line, Scatter, and Line + Symbol Graphs • 183 3 Point Segment Graph Data Requirements Requires a selection of at least one Y column of values (or a range from at least one column). There is no consistent trend regarding the length of games. Complete to determine if the two data sets show a correlation. If possible, fit a line to the data and write an equation of the line. Sometimes points on a scatter plot are represented by a trend line or a _____. A statistical tool used to mathematically express a trend in the data. scatter plot, p. Circle the answer. Students determine the trend line equation that is most appropriate for a scatter plot. When we fit the best line through the points of a scatter plot, we usually have one of two goals in mind. Try to get an equal number of points above the line as below. Each of these line graphs shows a change in data over time. An accurate trend line should fit the data closely. Twenty Questions: A Lesson Using the Hundreds Chart 3-5. Scatter Plots A scatter plot is a graph with points plotted to show a relationship between two sets of data. They will determine the correlation between the data collected and the line and then interpolate and extrapolate additional data points. Examine the scatter plot for a random data set with negative or positive correlation. The title says it all! Check out my Channel at www. Scatter Plot Worksheet Problems & Solutions from Scatter Plot Worksheet, source: pinterest. The coaches of a group of debate teams answered a survey about hours of debate, team practice and number of team wins. Notice how the data in the graph resembles a straight line rising from left to right. To construct a climate graph, use the climate graph template and follow the steps below. Technology extensions are included for those with computer access. Reteach 4-5. The points appear to jump in increments in the normal probability plot since the observations are rounded to the nearest whole inch. were 2 feet high? The scatter plot shows the numbers of lawns mowed by a local lawn care business during one week. Distance (mi) Time (min) 438 225 17 216 326 555 220 445 331 For a distance of 4. Materials and Resources: • White boards, dry erase markers, erasers • TI-83 calculators • M&M Candy (Plain). Label the axes and include a title. 270):_____ _____ A graph with points plotted to show a possible relationship between two sets of data. Scatterplot Worksheet Page 1. Scatter Plots and Trend Lines Graph a scatter plot using the given data. (1) (Total 2 marks) 9. DATA ANALYSIS USING GRAPHS Written by Zikri Yusof Numerous times during the Introductory Physics Laboratory courses, you will be asked to graph your data as part of your analysis. They should watch the video and then write a brief summary of what they learned. Determine the y-intercept. Oren plants a new vegetable garden each year for 14 years. Completing the steps below will produce a stock market chart similar to the image shown here and help you make good decisions when planning your stock trades. Click Simple option and then click Define button. Scatter Plots and Lines of Best Fit Worksheet 1. scatter plots of linear functions high school statistics- hss-id. The correlation coefficient takes on values between -1 and 1 in cases where the points are not perfectly linear. Math 75, Draw Scatter Plots and Best-Fitting Lines Name: _____ Worksheet Review SCATTER PLOTS A scatter plot is a graph of a set of data pairs (x, y). How many surfers might be at the beach if the waves. The scatter plot shows a projection of the average ocelot population living in Laguna Atascosa National Wildlife Refuge near Brownsville, Texas. When we plot these points on an XY graph, we can see if a pattern forms. They read scatter plots, determine the trend line, and write a linear equation to match. Draw a trend line for the data. 172 Speed (km/h) X-Axis 0 500 Dfiver Age (years) Time to Run 100m Amount ot Time Spent Training 40 30 20 < 10 0,6515 Solar & wind weekly generation $40. 7 Scatter Plots Benchmark:A. of Illinois), "Scatter plots are similar to line graphs in that they use horizontal and vertical axes to plot data points. Though they had been. (25 points). Using the line of best t, which is closest to the number of minutes it would take to complete 9 laps? A. The scatter diagram graphs pairs of numerical data, with one variable on each axis, to look for a relationship between them. Label the axes and include a title. Completing the steps below will produce a stock market chart similar to the image shown here and help you make good decisions when planning your stock trades. The table below was taken from Example 1 on page 66 of your textbook. Scatter Plots And Lines Of Best Fit. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line. Grading scales in different education systems. Showing top 8 worksheets in the category - Trend Lines. 1 Hurricanes Homework: Activity 5. We use a "line of best fit" to make predictions based on past data. Scatter Plots and Trend Lines 2. Extend your trend line so that it crossed the y-axis. How to add a trend line to a scatter-plot in Excel 2007: 1. The scatter plot shows a projection of the average ocelot population living in Laguna Atascosa National Wildlife Refuge near Brownsville, Texas. If the trend continued, about how many CDs were sold in 2006? 2. Line graphs are good for plotting data that has peaks (ups) and valleys (downs), or that was collected in a short time period. The data use must be ordinal in order to make a scatter plot, as there must be a way to order the points so that they can be compared. A baseball coach graphs some data and finds the line of best fit. The values for. A good picture is worth a thousand numbers. Students worked with scatter plots in eighth grade, so they know about creating scatter plots and correlation. See back of book. Steps of Curve Fitting A. uk Scatter Graphs (H) - Version 2 January 2016 (a) Draw, by eye, a line of best fit on your scatter diagram. Students will analyze data for sediment and nutrient levels in the Chesapeake Bay over a defined period of time and produce a scatter plot with a line of best fit for the data. x 2 - 3 4 8 y 12 - 14 - 11 15. In a scatterplot, a dot represents a single data point. 1, you saw how to fit linear models to data. scatter plots worksheets 8th grade. The obvious idea is to have students plot height or hand span against shoe size. Based on this relationship, predict the length Of a man's femur if his height is 160 cm. It can also be helpful when making predictions based on the data. Pictographs, bar graphs, and circle graphs can be used to display information divided into categories. A scatter plot is a set of points plotted on a horizontal and vertical axes. Trend lines. For more information about how to create these types of charts, see Available chart types in Office and Create a chart from start to finish. *The trend line (or line of best fit) is a straight line that comes closest to the points on a scatter plot. How to describe the strength and direction of a correlation 2. Based on your scatter plot, approximately what day of the year would the cheery trees bloom if the average winter temperature that year was 35 degrees? Explain how you arrived at your. If they do, ﬁnd the equation of a trend line. Pictograph Worksheets. The line does not always have to go through the origin (0, 0). pdf), Text File (. Scatter plots are considered discrete graphs because their points are separate and disconnected. It shows how two variables relate to each other by showing how closely the data points _____ to a line. Got it! Your question will be answered by an Excelchat Expert. They will answer questions about the survey. If the trend continued, about how many CDs were sold in 2006? 2. Scatter Plots and Trend Lines Fawn is trying to improve her reading skills by taking a speed- reading class. Based on this relationship, predict the length of a man's femur if his height is 160 cm. You interpret a scatterplot by looking for trends in the data as you go from left to right: If the data show an uphill pattern as you move from left to right, this indicates a positive relationship between X and Y. Make a scatter plot of the data where x represents b. ) Erosion of a Gorge Practice 10-3 Modeling Data With Lines Practice Course 3 Lesson 10-3. Year 1988 1992 1996 2000 2004 % of 18-24 year olds 36 43 32 32 42 Write positive, negative, or none to describe the. Is this interpolation or exptrapolation? 3. b) Describe the trend in the number of students who regularly walk to school. Students repeat this exercise again with a 2 nd student, creating a second scatter plot. Selection File type icon File name Description 2 - Scatter Plot Trends + Line of Best Fit. Step 1: Draw a trend line through the points. The line is difficult to detect when the relationship is weak (e. Scatter plots date group. Plot each ordered pair on the graph at the right to make a scatter plot. Describe changes and their effect on the data. Math is known to be difficult and is often a headache for the young and so the math worksheets come in handy in helping resolve this problem. If you can’t get the data into this arrangement, go to the section on making a graph with multiple or out of order columns. Almost all of these graphs are straight-line graphs. Find the value of the correlation coefﬁcient r and. (25 points). 5 miles, the trend line shows a time of 45 minutes. Construct a scatter plot of. This line may pass through some of the points, none of the points, or all of the points. During the updates, a progress indicator shows the proportion of data that has been plotted. The line of best fit is The correlation coefficient, r, tells you Examples. Which is the distance of Maggie’s longest jump when she had a running start of 20 feet? A. Trend Lines. Sometimes points on a scatter plot are represented by a trend line or a _____. Fig 11: Plot of monthly returns Instead we produce pair wise scatter plots of selected correlation relationships. (b) The point plotted for Beeville does not fit the general trend. Find the slope-intercept form of the equation of the line that best fits the data and its r² value. Linear Practice Problems Day 13 and 14. The teacher records the number of hours each student studied and the marks scored by the respective student on the test. Trend lines predict future values based on historical data. What is the correlation of this scatter plot? (Hint: Do not use the day on the scatter plot. Sketch the graph of a scatter plot that has a correlation coefficient of exactly 1, but the slope of the line of best fit is greater than 1. Some of the worksheets displayed are Scatter plots, Scatter plots, Scatter plot work, Tall buildings in cities building city stories height, Concept 20 scatterplots correlation, Name period scatter plots algebra 10, Name hour date scatter plots and lines of best fit work, Scatter plot work answer key platter of scots wait. Tons of Free Math Worksheets at:. The closer the data points fall along a line with positive slope, the stronger the linear relationship and the stronger the positive correlation. Based on this relationship, predict the length of a man’s femur if his height is 160 cm. The points lie close to a line, so a power model should be a good fit for the original data. Correlation) 3. Describe the type of correlation the scatter plot shows. Using MS Excel, plot the data as a scatter plot, add a trend line, display the line equation and the R value on the plot. However, they have a very specific purpose. Students identify and describe unusual features in scatter plots, such as clusters and outliers. Describe the trend: Describe the trend: For each scatter plot, find a better trend line than the one shown. 4 # 6,7,16,17,18 data by using points on a scatter plot. Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Scatter Plots Name_____ Date_____ Period____ State if there appears to be a positive correlation, negative correlation, or no correlation. to Receive Prepare a line plot to display chef Wunderbar's orders for the past 4 weeks. Homework: Attached worksheet. Scatter plots provide a visual representation of the relationship between two variables. Nov 105:10 PM Scatter Plots *A scatter plots is a display of data. Use the equation to predict the time needed to travel 32 miles on a bicycle. From the menu that appears, select the scatter plot. Skills Practice Statistics:Scatter Plots and Lines of Fit NAME _____ DATE _____ PERIOD _____ 5-7 ' Glencoe/McGraw-Hill 319 Glencoe Algebra 1 Lesson C 5-7 Determine whether each graph shows a positive correlation, a negative correlation, or no correlation. They will identify the correlation, sketch an approximate trend line, and find the equation of the trend line. Pre-Algebra 8 Practice Test: Two-Way Tables & Scatter Plots Revised 2014 - CCSS Page 3 of 4 13. Plot the graph of y = 3x + 2. I want to plot a scatter graph of my data. _____ _____ 3. Scatter Plot/Line of Best Fit/Trend Line Review Worksheet This 2 page activity is a wonderful activity to have the students reviewing scatter plots/line of best fit/trend lines. Create separate scatter plots in Excel of the spring deflection data you collected for each spring. Graphing Line Graphs and Scatter Plots from Scatter Plot Worksheet, source: labwrite. MUSIC The scatter plot shows the number of CDs (in millions) that were sold from 1999 to 2005. Draw a trend line. pptx), PDF File (. The scatter plot is a grid with time plotted on the vertical line divided into periods of time. Line graph maker You're on the line graph maker page. Sometimes students just need a quick, fun reinforcement of a skill. Circle the answer. Using this colorful format, kids are able to feel eager to learn. Trend lines predict future values based on historical data. Each question will ask you to make a logical inference based on textual details. Draw the line of best fit going through the mean point. Chapter 8: Plotting: Origin’s Built-in Graph Types 2D Line, Scatter, and Line + Symbol Graphs • 183 3 Point Segment Graph Data Requirements Requires a selection of at least one Y column of values (or a range from at least one column). Area charts are also used to draw attention to the total value across a trend. How to Add A Trendline and R squared Value to A Scatter Plot in Excel Nancy Miorelli. Approximate the best-fitting line for a set of data, as applied in Example 3. Step 2 − On completion of the above step, you will get various trend lines. Students then worked with their M&M's to construct scatter plots with positive and negative correlations. Write an equation of a line given two points. Click Simple option and then click Define button. MUSIC The scatter plot shows the number of CDs (in millions) that were sold from 1999 to 2005. Hey guys, I am trying to plot data on a scatter plot with square root and/or log axes. Extend your trend line so that it crossed the y-axis. Use your common sense to determine when that is the case. Fit a curve to each plot in #1. Is a power model a good fit for the original data? b. In this activity, students will use scatter plots to compare estimated and actual heights of familiar celebrities and athletes. The Independent variable goes on the horizontal (x) axis, and the dependent variable goes on the vertical (y) axis. It has functions appropriate for business and scientific data sets. Draw a scatter plot of ln y versus ln x. They are especially useful when you have a large number of data points. Weak Correlation - When points are located farther apart in relation to one another on the line. org Free Excel Chart Templates Make Your Bar Pie Charts Beautiful by chandoo. Exercise 2 Ask students if these data have a strong correlation or a weak correlation. Describe the correlation of the data. Scatter plots are considered discrete graphs because their points are separate and disconnected. SigmaPlot is a scientific data analysis and graphing software package with an intuitive interface for all your statistical analysis and graphing needs that takes you beyond simple spreadsheets and helps you to produce high-quality graphs without spending hours in front of a computer. What type of correlation does the scatter plot have? 3. You must first create a graph of the time series you want to analyze. Write an equation for the trend line by hand (choose two points, find the slope, write in point -slope form then in slope -intercept form). Click the plus sign beside the graph to open the Graph Elements menu. Tons of Free Math Worksheets at:. Scatter Plots and Trend Lines Graph a scatter plot using the given data. Videos, worksheets, stories and songs to help Grade 8 students learn about Scatter Plots, Line of Best Fit and Correlation. Draw a trend line and write an equation for the trend line. Q L wAQlYlA Crji^g_hNttsf JrHegseevrZvNeldG. Engineering Connection Engineers use simple spreadsheet software to aid in the collection and analysis of data. 48 To display a trend line to illustrate student progress. Includes a math lesson, 2 practice sheets, homework sheet, and a quiz!. An experiment studies the effects of an experimental drug on the number of offspring a mother mouse has. By combining a line graph with a scatter plot, meteorologists and other statisticians can illustrate the relationship between two data sets. Quiz - Scatter plots l) What type of correlation is shown in the scatter plot below? Name 10 positive correlation B. Unit 5: Scatter Plots & Trend Lines (4 weeks) UNIT OVERVIEW Students will begin the unit by exploring measures of central tendency and spread and displays of one-variable data including, dot plots, histograms, and box-and-whisker plots. About This Quiz & Worksheet. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line. On a scatter plot there is no relationship. Write an equation for the trend line. Plus, you can define variables that span multiple worksheets. Learn all the skills you need to excel at Microsoft Office 2016 with our incredible Microsoft Office 2016 Mega Bundle. When working with scatter plots, if is often useful to represent the data with the equation of a straight line, called a "line of best fit", or a "trend" line. Correlation) 3. What interpolation and extrapolation are 4. Like line graphs, they can be used to plot data recorded from scientific experiments, such as how a chemical reacts to changing temperature or atmospheric pressure. A line of best ﬁ t is a line drawn on a scatter plot that is close to most of the data points. Scatter plots Scatter plots are used to show relationship between two sets of data by writing them as ordered pairs To illustrate, let us pretend that you have a business that sells notebooks Day 1, you sell 10 notebooks Day 1, you sell 10 notebooks Day 2, you sell 5 notebooks Day 3, you sell 15 notebooks Day 4, you sell 10 notebooks. Scatter Plot. Trends in Scatter Plots. Example of QI Macros Scatter Plot Template in Excel. A scatterplot with no correlation is one in which no consistent pattern exists to indicate a positive or negative correlation Line of best fit. If the points are coded (color/shape/size), one additional variable can be displayed. Scatter plots provide a visual representation of the relationship between two variables. A scatterplot is a useful summary of a set of bivariate data (two variables), usually drawn before working out a linear correlation coefficient or fitting a regression line. Figure 14: Normal 2D line chart Figure 15: Line chart - deep In general the faux 3-D charts do not convey information very well and should be. The scatter diagram graphs pairs of numerical data, with one variable on each axis, to look for a relationship between them. The fact-checkers, whose work is more and more important for those who prefer facts over lies, police the line between fact and falsehood on a day-to-day basis, and do a great job. Today, my small contribution is to pass along a very good overview that reflects on one of Trump’s favorite overarching falsehoods. Namely: Trump describes an America in which everything was going down the tubes under Obama, which is why we needed Trump to make America great again. And he claims that this project has come to fruition, with America setting records for prosperity under his leadership and guidance. “Obama bad; Trump good” is pretty much his analysis in all areas and measurement of U.S. activity, especially economically. Even if this were true, it would reflect poorly on Trump’s character, but it has the added problem of being false, a big lie made up of many small ones. Personally, I don’t assume that all economic measurements directly reflect the leadership of whoever occupies the Oval Office, nor am I smart enough to figure out what causes what in the economy. But the idea that presidents get the credit or the blame for the economy during their tenure is a political fact of life. Trump, in his adorable, immodest mendacity, not only claims credit for everything good that happens in the economy, but tells people, literally and specifically, that they have to vote for him even if they hate him, because without his guidance, their 401(k) accounts “will go down the tubes.” That would be offensive even if it were true, but it is utterly false. The stock market has been on a 10-year run of steady gains that began in 2009, the year Barack Obama was inaugurated. But why would anyone care about that? It’s only an unarguable, stubborn fact. Still, speaking of facts, there are so many measurements and indicators of how the economy is doing, that those not committed to an honest investigation can find evidence for whatever they want to believe. Trump and his most committed followers want to believe that everything was terrible under Barack Obama and great under Trump. That’s baloney. Anyone who believes that believes something false. And a series of charts and graphs published Monday in the Washington Post and explained by Economics Correspondent Heather Long provides the data that tells the tale. The details are complicated. Click through to the link above and you’ll learn much. But the overview is pretty simply this: The U.S. economy had a major meltdown in the last year of the George W. Bush presidency. Again, I’m not smart enough to know how much of this was Bush’s “fault.” But he had been in office for six years when the trouble started. So, if it’s ever reasonable to hold a president accountable for the performance of the economy, the timeline is bad for Bush. GDP growth went negative. Job growth fell sharply and then went negative. Median household income shrank. The Dow Jones Industrial Average dropped by more than 5,000 points! U.S. manufacturing output plunged, as did average home values, as did average hourly wages, as did measures of consumer confidence and most other indicators of economic health. (Backup for that is contained in the Post piece I linked to above.) Barack Obama inherited that mess of falling numbers, which continued during his first year in office, 2009, as he put in place policies designed to turn it around. By 2010, Obama’s second year, pretty much all of the negative numbers had turned positive. By the time Obama was up for reelection in 2012, all of them were headed in the right direction, which is certainly among the reasons voters gave him a second term by a solid (not landslide) margin. Basically, all of those good numbers continued throughout the second Obama term. The U.S. GDP, probably the single best measure of how the economy is doing, grew by 2.9 percent in 2015, which was Obama’s seventh year in office and was the best GDP growth number since before the crash of the late Bush years. GDP growth slowed to 1.6 percent in 2016, which may have been among the indicators that supported Trump’s campaign-year argument that everything was going to hell and only he could fix it. During the first year of Trump, GDP growth grew to 2.4 percent, which is decent but not great and anyway, a reasonable person would acknowledge that — to the degree that economic performance is to the credit or blame of the president — the performance in the first year of a new president is a mixture of the old and new policies. In Trump’s second year, 2018, the GDP grew 2.9 percent, equaling Obama’s best year, and so far in 2019, the growth rate has fallen to 2.1 percent, a mediocre number and a decline for which Trump presumably accepts no responsibility and blames either Nancy Pelosi, Ilhan Omar or, if he can swing it, Barack Obama. I suppose it’s natural for a president to want to take credit for everything good that happens on his (or someday her) watch, but not the blame for anything bad. Trump is more blatant about this than most. If we judge by his bad but remarkably steady approval ratings (today, according to the average maintained by 538.com, it’s 41.9 approval/ 53.7 disapproval) the pretty-good economy is not winning him new supporters, nor is his constant exaggeration of his accomplishments costing him many old ones). I already offered it above, but the full Washington Post workup of these numbers, and commentary/explanation by economics correspondent Heather Long, are here. On a related matter, if you care about what used to be called fiscal conservatism, which is the belief that federal debt and deficit matter, here’s a New York Times analysis, based on Congressional Budget Office data, suggesting that the annual budget deficit (that’s the amount the government borrows every year reflecting that amount by which federal spending exceeds revenues) which fell steadily during the Obama years, from a peak of $1.4 trillion at the beginning of the Obama administration, to $585 billion in 2016 (Obama’s last year in office), will be back up to $960 billion this fiscal year, and back over $1 trillion in 2020. (Here’s the New York Times piece detailing those numbers.) Trump is currently floating various tax cuts for the rich and the poor that will presumably worsen those projections, if passed. As the Times piece reported: