https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-scatter-plots/v/constructing-scatter-plot 2023-05-12T21:01:01.897246564Z Constructing a scatter plot Does the time an exam happens affects the scores? Aubrey gathered info. Then she made a scatter plot with the time of day on the bottom (on the horizontal axis) and the scores on the side (on the vertical axis). She didn't find a clear pattern. Sal Khan video https://cdn.kastatic.org/googleusercontent/Kboi5qiegn6DQdifmcZsrrlizFXNWb2EFH_OX1hqmURDk4A-BRDbSTJYb443ZQ4I6YR610NhKilfi6z6PkcaRw Constructing a scatter plot Does the time an exam happens affects the scores? Aubrey gathered info. Then she made a scatter plot with the time of day on the bottom (on the horizontal axis) and the scores on the side (on the vertical axis). She didn't find a clear pattern. https://cdn.kastatic.org/ka-youtube-converted/sHbX58y5D4U.mp4/sHbX58y5D4U.mp4 152 Scatterplots and correlation https://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/scatterplots-correlation/v/bivariate-relationship-linearity-strength-and-direction 2022-10-07T00:58:19.561984208Z Bivariate relationship linearity, strength and direction Describe a bivariate relationship's linearity, strength, and direction video https://cdn.kastatic.org/ka_thumbnails_cache/9a462c1b-305b-4d4a-9e3a-78326881823a_1280_720_base.png Bivariate relationship linearity, strength and direction Describe a bivariate relationship's linearity, strength, and direction https://cdn.kastatic.org/ka-youtube-converted/30LcZqRfPRY.mp4/30LcZqRfPRY.mp4 493 Scatterplots and correlation https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-line-of-best-fit/v/estimating-the-line-of-best-fit-exercise 2023-05-12T21:01:01.897246564Z Estimating the line of best fit exercise The "line of best fit" is a line that shows the pattern of data points. If we can find a good line, it means there is a linear trend. If not, it means there is no linear trend. We can't ignore points that don't fit the trend. Sal Khan video https://cdn.kastatic.org/googleusercontent/yMNzEamJCQT7A1xvGsloyZpWmvtEQ2nBGFUkm3ccmtXOwVO0Q6DuShSdnqkmswqKPzYy2i8z1R8VYXresfBm2SU Estimating the line of best fit exercise The "line of best fit" is a line that shows the pattern of data points. If we can find a good line, it means there is a linear trend. If not, it means there is no linear trend. We can't ignore points that don't fit the trend. https://cdn.kastatic.org/ka-youtube-converted/ioieTr41L24.mp4/ioieTr41L24.mp4 77 Scatterplots and correlation https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-line-of-best-fit/v/smoking-1945-extrapolation 2023-05-12T21:01:01.897246564Z Line of best fit: smoking in 1945 The scatter plot shows how many adults in America smoked from year to year. We can guess how many smoked in 1945 by drawing a line that slopes down through the points. Then we see how high the line would be 20 years earlier. Sal Khan video https://cdn.kastatic.org/googleusercontent/yZKpVENPaJ0cbI753S0lV0n5d0Bn6Hvs8N4MtCyo9VXE_X59LGtcs5xHl0jUv294K8q-S8pg6YeAVll59ZXn9-6d Line of best fit: smoking in 1945 The scatter plot shows how many adults in America smoked from year to year. We can guess how many smoked in 1945 by drawing a line that slopes down through the points. Then we see how high the line would be 20 years earlier. https://cdn.kastatic.org/ka-youtube-converted/d4WE4SnhBDU.mp4/d4WE4SnhBDU.mp4 287 Scatterplots and correlation https://www.khanacademy.org/math/statistics-probability/inference-categorical-data-chi-square-tests/chi-square-goodness-of-fit-tests/v/pearson-s-chi-square-test-goodness-of-fit 2020-06-23T07:22:42Z Pearson's chi square test (goodness of fit) Sal uses the chi square test to the hypothesis that the owner's distribution is correct. Sal Khan video https://cdn.kastatic.org/googleusercontent/tyt9FnA3O2qKZdXZlIfXFWT7VTxtafl9ksU3-QFMAm8DKaAmGh24IO2nn17_GRY6zq_2Lu9xJhi3eOVkWE_N47Y Pearson's chi square test (goodness of fit) Sal uses the chi square test to the hypothesis that the owner's distribution is correct. https://cdn.kastatic.org/ka-youtube-converted/2QeDRsxSF9M.mp4/2QeDRsxSF9M.mp4 708 Scatterplots and correlation https://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/least-squares-regression/v/interpreting-slope-of-regression-line 2023-12-15T19:01:48.939979194Z Interpreting slope of regression line We look at an example scatter plot showing the relationship between hours studying and test scores. We interpret scatter plots, investigate the relationship between variables, interpret the slope of a trend line, and make predictions based on the trend line's slope and intercept. video https://cdn.kastatic.org/ka_thumbnails_cache/99fc0bd7-0b3e-4634-94dc-23d54366b16a_1280_720_base.png Interpreting slope of regression line We look at an example scatter plot showing the relationship between hours studying and test scores. We interpret scatter plots, investigate the relationship between variables, interpret the slope of a trend line, and make predictions based on the trend line's slope and intercept. https://cdn.kastatic.org/ka-youtube-converted/PplggM0KtJ8.mp4/PplggM0KtJ8.mp4 178 Scatterplots and correlation https://www.khanacademy.org/math/ap-statistics/bivariate-data-ap/least-squares-regression/v/interpreting-y-intercept-in-regression-model 2022-10-07T00:58:19.561984208Z Interpreting y-intercept in regression model Interpreting y-intercept in regression model video https://cdn.kastatic.org/ka_thumbnails_cache/0a7b8fc3-5598-4161-9892-b1f1cd89dc66_1280_720_base.png Interpreting y-intercept in regression model Interpreting y-intercept in regression model https://cdn.kastatic.org/ka-youtube-converted/00YVR5TSZqw.mp4/00YVR5TSZqw.mp4 156 Scatterplots and correlation https://www.khanacademy.org/math/statistics-probability/describing-relationships-quantitative-data/scatterplots-and-correlation/a/correlation-coefficient-review 2024-11-11T03:02:04.50965229Z Correlation coefficient review The correlation coefficient r measures the direction and strength of a linear relationship. Calculating r is pretty complex, so we usually rely on technology for the computations. We focus on understanding what r says about a scatterplot. article https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-scatter-plots/e/constructing-scatter-plots 2024-03-27T18:42:37.712770984Z Constructing scatter plots Practice plotting points to construct a scatter plot. Tomer Gal exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-scatter-plots/e/making-good-scatter-plots 2021-07-01T02:19:31Z Making appropriate scatter plots An appropriate scatter plot has the independent variable on the x-axis and the dependent variable on the y-axis. Also, the scale of both axes should be reasonable, making the data as easy to read as possible. In these practice problems, we practice telling good scatter plots from bad ones. Jeff exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-line-of-best-fit/e/plotting_the_line_of_best_fit 2026-03-31T14:59:02.026924717Z Eyeballing the line of best fit Given a random assortment of points, draw a line of best fit through them. Sid Patel exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-line-of-best-fit/e/linear-models-of-bivariate-data 2026-04-01T14:42:24.233450099Z Estimating slope of line of best fit Given a scatter plot, can you estimate the slope of the line of best fit that goes through the data points? pstinchcombe exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-line-of-best-fit/e/equations-of-lines-of-best-fit-to-make-predictions 2023-12-11T22:13:00.981327266Z Estimating equations of lines of best fit, and using them to make predictions Practice estimating the equation of a line of best fit through data points in a scatter plot. Then, use the equation to make a prediction. Jeff exercise https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-data/cc-8th-line-of-best-fit/e/interpreting-slope-and-y-intercept-of-lines-of-best-fit 2026-02-24T15:30:30.425876844Z Interpreting slope and y-intercept for linear models Practice explaining the meaning of slope and y-intercept for lines of best fit on scatter plots. Jeff exercise