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Thursday, March 25. Essential Questions. How do I draw scatter plots and find equations of best-fitting lines?. 7.1. Draw Scatter Plots and Best-Fitting Lines. Describe and estimate correlation coefficients. Example 1.
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Thursday, March 25 Essential Questions • How do I draw scatter plots and find equations of best-fitting lines?
7.1 Draw Scatter Plots and Best-Fitting Lines Describe and estimate correlation coefficients Example 1 Describe the data as having a positive correlation, a negative correlation, or approximately no correlation. Tell whether the correlation coefficient for the data is closest to -1, -0.5, 0, 0.5, or 1. a. Solution negative • The scatter plot shows a strong _________ correlation. So, the best estimate given is r = ____.
7.1 Draw Scatter Plots and Best-Fitting Lines Describe and estimate correlation coefficients Example 1 Describe the data as having a positive correlation, a negative correlation, or approximately no correlation. Tell whether the correlation coefficient for the data is closest to -1, -0.5, 0, 0.5, or 1. b. Solution positive • The scatter plot shows a weak _________ correlation. So, r is between ___ and ___, but not too close to either one. The best estimate given is r = _____.
7.1 Draw Scatter Plots and Best-Fitting Lines Checkpoint. For the scatter plot, (a) tell whether the data has a positive correlation, a negative correlation, or approximately no correlation, and (b) tell whether the correlation coefficient for the data is closest to -1, -0.5, 0, 0.5, or 1. • positive correlation 1. • 1
7.1 Draw Scatter Plots and Best-Fitting Lines Checkpoint. For the scatter plot, (a) tell whether the data has a positive correlation, a negative correlation, or approximately no correlation, and (b) tell whether the correlation coefficient for the data is closest to -1, -0.5, 0, 0.5, or 1. • approximately no correlation 2. • 0
7.1 Draw Scatter Plots and Best-Fitting Lines Approximate the best-fitting line Example 2 The table below gives the number of people y who attended each of the first seven football games x of the season. Approximate the best-fitting line for the data. 900 850 800 750 700 • Draw a __________. scatter plot 650 • Sketch a best-fitting line. 0 1 2 3 4 5 6 7 • Choose two points on the line. For the scatter plot shown, you might choose (1, ___) and (2, ___). 722 750 • Write an equation of the line. The line passes through the two points has a slope of:
7.1 Draw Scatter Plots and Best-Fitting Lines Approximate the best-fitting line Example 2 The table below gives the number of people y who attended each of the first seven football games x of the season. Approximate the best-fitting line for the data. 900 850 800 750 700 Use the point-slope form to write the equation. 650 0 1 2 3 4 5 6 7 An approximation of the best-fitting line is
7.1 Draw Scatter Plots and Best-Fitting Lines Checkpoint. Complete the following exercise. • The table gives the average class score y on each chapter test for the first six chapters x of the textbook. 92 90 88 86 • Approximate the best-fitting line for the data. 84 82 0 1 2 3 4 5 6 7
7.1 Draw Scatter Plots and Best-Fitting Lines Checkpoint. Complete the following exercise. • The table gives the average class score y on each chapter test for the first six chapters x of the textbook. 92 90 88 86 • Use your equation from part (a) to predict the average class score on the chapter 9 test. 84 82 0 1 2 3 4 5 6 7
7.1 Draw Scatter Plots and Best-Fitting Lines Pg. 260, 7.1 #1-13
