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ХА УА xB yB xC ус xD yD 10 8.04 10 9.14 10 7.46 00 8 6.58 8 6.95 8 8.14 8 6.77 8 5.76 13 7.58 13 8.74 13 12.74 8 7.71 9 8.81 9 8.77 9 7.11 8 8.84 11 8.33 11 9.26 11 7.81 8 8.47 14 9.96 14 8.1 14 8.84 8 7.04 6 7.24 6 6.13 6 6.08 8 5.25 4 4.26 4 3.1 4 5.39 8 5.56 12 10.84 12 9.13 12 8.15 8 7.91 7 4.82 7 7.26 7 6.42 8 6.89 5 5.68 5 4.74 5 5.73 19 12.5 (IN SAS) The data set named "Always Plot your Data" contains four pairs of variables that illustrate the dangers of calculating correlation coefficients and regression equations without first plotting the data. The four pairs of variables are: (XA, YA), (XB, XB), (xC, XC), (xD, yD). In each pair, consider the first variable the explanatory variable and the second the response variable. a. For each of the four pairs of variables, find the (i) the correlation coefficient, (ii) regression equation, and (iii) predicted response when the explanatory variable equals 10. In your solutions document, list the four correlation coefficients together, the four regression equations together, and the four predicted responses together. State the values exactly as they appear in the output; do not round. What do you notice? (Do not include ALL of the output. Just list the correlation coefficients, regression equations, and predicted response taken from the output.) b. For each pair of variables, make a fitted line plot (i.e., a scatterplot overlaid with the regression line). (Note: For this part, you will be copying four graphs from into your solutions document.) c. For each of the four pairs of variables, state whether or not you would be willing to use the regression line to describe the dependence of y on x. Explain your yes or no answer for each pair of variables using the results from part (a) and part (b).

ХА УА xB yB xC ус xD yD 10 8.04 10 9.14 10 7.46 00 8 6.58 8 6.95 8 8.14 8 6.77 8 5.76 13 7.58 13 8.74 13 12.74 8 7.71 9 8.81 9 8.77 9 7.11 8 8.84 11 8.33 11 9.26 11 7.81 8 8.47 14 9.96 14 8.1 14 8.84 8 7.04 6 7.24 6 6.13 6 6.08 8 5.25 4 4.26 4 3.1 4 5.39 8 5.56 12 10.84 12 9.13 12 8.15 8 7.91 7 4.82 7 7.26 7 6.42 8 6.89 5 5.68 5 4.74 5 5.73 19 12.5 (IN SAS) The data set named "Always Plot your Data" contains four pairs of variables that illustrate the dangers of calculating correlation coefficients and regression equations without first plotting the data. The four pairs of variables are: (XA, YA), (XB, XB), (xC, XC), (xD, yD). In each pair, consider the first variable the explanatory variable and the second the response variable. a. For each of the four pairs of variables, find the (i) the correlation coefficient, (ii) regression equation, and (iii) predicted response when the explanatory variable equals 10. In your solutions document, list the four correlation coefficients together, the four regression equations together, and the four predicted responses together. State the values exactly as they appear in the output; do not round. What do you notice? (Do not include ALL of the output. Just list the correlation coefficients, regression equations, and predicted response taken from the output.) b. For each pair of variables, make a fitted line plot (i.e., a scatterplot overlaid with the regression line). (Note: For this part, you will be copying four graphs from into your solutions document.) c. For each of the four pairs of variables, state whether or not you would be willing to use the regression line to describe the dependence of y on x. Explain your yes or no answer for each pair of variables using the results from part (a) and part (b).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 5PPS
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ХА УА xB yB xC ус xD yD 10 8.04 10 9.14 10 7.46 00 8 6.58 8 6.95 8 8.14 8 6.77 8 5.76 13 7.58 13 8.74 13 12.74 8 7.71 9 8.81 9 8.77 9 7.11 8 8.84 11 8.33 11 9.26 11 7.81 8 8.47 14 9.96 14 8.1 14 8.84 8 7.04 6 7.24 6 6.13 6 6.08 8 5.25 4 4.26 4 3.1 4 5.39 8 5.56 12 10.84 12 9.13 12 8.15 8 7.91 7 4.82 7 7.26 7 6.42 8 6.89 5 5.68 5 4.74 5 5.73 19 12.5
Transcribed Image Text:ХА УА xB yB xC ус xD yD 10 8.04 10 9.14 10 7.46 00 8 6.58 8 6.95 8 8.14 8 6.77 8 5.76 13 7.58 13 8.74 13 12.74 8 7.71 9 8.81 9 8.77 9 7.11 8 8.84 11 8.33 11 9.26 11 7.81 8 8.47 14 9.96 14 8.1 14 8.84 8 7.04 6 7.24 6 6.13 6 6.08 8 5.25 4 4.26 4 3.1 4 5.39 8 5.56 12 10.84 12 9.13 12 8.15 8 7.91 7 4.82 7 7.26 7 6.42 8 6.89 5 5.68 5 4.74 5 5.73 19 12.5
(IN SAS) The data set named "Always Plot your Data" contains four pairs of variables that illustrate the dangers of calculating correlation coefficients and regression equations without first plotting the data. The four pairs of variables are: (XA, YA), (XB, XB), (xC, XC), (xD, yD). In each pair, consider the first variable the explanatory variable and the second the response variable. a. For each of the four pairs of variables, find the (i) the correlation coefficient, (ii) regression equation, and (iii) predicted response when the explanatory variable equals 10. In your solutions document, list the four correlation coefficients together, the four regression equations together, and the four predicted responses together. State the values exactly as they appear in the output; do not round. What do you notice? (Do not include ALL of the output. Just list the correlation coefficients, regression equations, and predicted response taken from the output.) b. For each pair of variables, make a fitted line plot (i.e., a scatterplot overlaid with the regression line). (Note: For this part, you will be copying four graphs from into your solutions document.) c. For each of the four pairs of variables, state whether or not you would be willing to use the regression line to describe the dependence of y on x. Explain your yes or no answer for each pair of variables using the results from part (a) and part (b).
Transcribed Image Text:(IN SAS) The data set named "Always Plot your Data" contains four pairs of variables that illustrate the dangers of calculating correlation coefficients and regression equations without first plotting the data. The four pairs of variables are: (XA, YA), (XB, XB), (xC, XC), (xD, yD). In each pair, consider the first variable the explanatory variable and the second the response variable. a. For each of the four pairs of variables, find the (i) the correlation coefficient, (ii) regression equation, and (iii) predicted response when the explanatory variable equals 10. In your solutions document, list the four correlation coefficients together, the four regression equations together, and the four predicted responses together. State the values exactly as they appear in the output; do not round. What do you notice? (Do not include ALL of the output. Just list the correlation coefficients, regression equations, and predicted response taken from the output.) b. For each pair of variables, make a fitted line plot (i.e., a scatterplot overlaid with the regression line). (Note: For this part, you will be copying four graphs from into your solutions document.) c. For each of the four pairs of variables, state whether or not you would be willing to use the regression line to describe the dependence of y on x. Explain your yes or no answer for each pair of variables using the results from part (a) and part (b).
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