The table shows the number of goals allowed and the total points earned (2 points for a win, and 1 point for an overtime or shootout loss) by 14 ice hockey teams over the course of a season. The equation of the regression line is y= - 0.635x + 234.740. Use the data to answer the following questions (a) Find the coeficient of determination, , and interpret the result. (b) Find the standard error of the estimate, s,, and interpret the result. Goals Allowed, x Points, y 213 213 221 220 258 260 275 204 209 201 225 208 256 245 o 113 103 103 94 84 75 48 103 107 95 98 88 69 70 (Round to three decimal places as needed.) Interpret the coefficient of determination. Select the correct choice below and fill in the answer box to complete your choice. (Round to one decimal place as needed.) O A. About % of the variation in number of goals allowed can be explained by the relationship between number of goals allowed and points eamed. The remaining variation is unexplained. O B. About % of the variation in points earned can be explained by the relationship between number of goals allowed and points earned. The remaining variation unexplained. (b) s, "O (Round to three decimal places as needed.) Interpret the standard error of the estimate. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. The standard error of the estimate of the goals allowed for a specific number of points earned is about O B. The standard error of the estimate of the points earned for a specific number of goals allowed is about.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The table shows the number of goals allowed and the total points earned (2 points for a win, and 1 point for an overtime or shootout loss) by 14 ice hockey teams over the course of a season. The equation of the regression line is y = - 0.635x +234.740. Use the data to answer the following questions.
(a) Find the coefficient of determination, r, and interpret the result.
(b) Find the standard error of the estimate, s., and interpret the result.
Goals
Allowed, x
213 213 221 220 258 260 275 204 209 201 225 208 256 245 P
Points, y
113 103 103 94 84 75 48 103 107 95 98 88 69 70
(a) ? =
(Round to three decimal places as needed.)
Interpret the coefficient of determination. Select the correct choice below and fill in the answer box to complete your choice.
(Round to one decimal place as needed.)
O A. About
% of the variation in number of goals allowed can be explained by the relationship between number of goals allowed and points earned. The remaining variation is unexplained.
O B. About
% of the variation in points earned can be explained by the relationship between number of goals allowed and points earned. The remaining variation is unexplained.
(b) se =
(Round to three decimal places as needed.)
Interpret the standard error of the estimate. Select the correct choice below and fill in the answer box to complete your choice.
(Round to three decimal places as needed.)
O A. The standard error of the estimate of the goals allowed for a specific number of points earned is about
O B. The standard error of the estimate of the points earned for a specific number of goals allowed is about
Transcribed Image Text:The table shows the number of goals allowed and the total points earned (2 points for a win, and 1 point for an overtime or shootout loss) by 14 ice hockey teams over the course of a season. The equation of the regression line is y = - 0.635x +234.740. Use the data to answer the following questions. (a) Find the coefficient of determination, r, and interpret the result. (b) Find the standard error of the estimate, s., and interpret the result. Goals Allowed, x 213 213 221 220 258 260 275 204 209 201 225 208 256 245 P Points, y 113 103 103 94 84 75 48 103 107 95 98 88 69 70 (a) ? = (Round to three decimal places as needed.) Interpret the coefficient of determination. Select the correct choice below and fill in the answer box to complete your choice. (Round to one decimal place as needed.) O A. About % of the variation in number of goals allowed can be explained by the relationship between number of goals allowed and points earned. The remaining variation is unexplained. O B. About % of the variation in points earned can be explained by the relationship between number of goals allowed and points earned. The remaining variation is unexplained. (b) se = (Round to three decimal places as needed.) Interpret the standard error of the estimate. Select the correct choice below and fill in the answer box to complete your choice. (Round to three decimal places as needed.) O A. The standard error of the estimate of the goals allowed for a specific number of points earned is about O B. The standard error of the estimate of the points earned for a specific number of goals allowed is about
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