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 = -0.673x +242.664. Use the data to answer the following questions. (a) Find the coefficient of determination, , and interpret the result. (b) Find the standard error of the estimate, s and interpret the result. Goals Allowed, x 212 209 222| 222 257 259 273 202 210 196 222 208 259 241 Points, y 110 103 103 96 | 86 | 75 | 44 109 103 102 95 | 89 | 67 | 68 (a) ? =O (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 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) s, =0 (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
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 = -0.673x +242.664. Use the data to answer the following questions. (a) Find the coefficient of determination, , and interpret the result. (b) Find the standard error of the estimate, s and interpret the result. Goals Allowed, x 212 209 222| 222 257 259 273 202 210 196 222 208 259 241 Points, y 110 103 103 96 | 86 | 75 | 44 109 103 102 95 | 89 | 67 | 68 (a) ? =O (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 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) s, =0 (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
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
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Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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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 = - 0.673x +242.664. Use the data to answer the following questions.
(a) Find the coefficient of determination, , and interpret the result.
(b) Find the standard error of the estimate, s., and interpret the result.
Goals
Allowed, x
Points, y
212 209 222 222 257 259 273 202 210 196 222 208 259 241 e
110 103 103 96 86 75
44 109 103 102 95 89 67 68
(2) ? =O
(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) s =
(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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