The following data gives the number of employees at the bookstore and the number of minutes students wait in line to buy books at the begining of the term. The independent variable is the number of employees and the dependent variable is the number of minutes. What is the coefficient of determination and what does it mean? S S subscript x x end subscript equals 56.857 ; space space S S subscript y y end subscript equals 2095.714 ; space space S S subscript x y end subscript equals minus 322.571 x y 1 67 3 54 5 47 6 33 8 31 9 25 9 12 SUMMARY OUTPUT Regression Statistics Multiple R 0.96 R Square 0.93 Adjusted R Square Standard Error 5.48 Observations 7 ANOVA df SS MS F Significance F Regression 1 1945.3 1945.3 64.7 0.00048117 Residual 5 150.4 30.1 Total 6 2095.7 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 72.69 4.74 15.34 0.00 60.51 84.87 x variable 1 -5.85 0.73 -8.04 0.00 -7.72 -3.98 Group of answer choices 0.93; 93% of the variation in the data is explained by our model 0.93; there is a strong positive linear relationship between the number of employees and the amount of time a student waits in line 0.96; 96% of the variation in the data is explained by our model 0.96; there is a strong positive linear relationship between the number of employees and the amount of time a student waits in line
The following data gives the number of employees at the bookstore and the number of minutes students wait in line to buy books at the begining of the term. The independent variable is the number of employees and the dependent variable is the number of minutes. What is the coefficient of determination and what does it mean? S S subscript x x end subscript equals 56.857 ; space space S S subscript y y end subscript equals 2095.714 ; space space S S subscript x y end subscript equals minus 322.571 x y 1 67 3 54 5 47 6 33 8 31 9 25 9 12 SUMMARY OUTPUT Regression Statistics Multiple R 0.96 R Square 0.93 Adjusted R Square Standard Error 5.48 Observations 7 ANOVA df SS MS F Significance F Regression 1 1945.3 1945.3 64.7 0.00048117 Residual 5 150.4 30.1 Total 6 2095.7 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 72.69 4.74 15.34 0.00 60.51 84.87 x variable 1 -5.85 0.73 -8.04 0.00 -7.72 -3.98 Group of answer choices 0.93; 93% of the variation in the data is explained by our model 0.93; there is a strong positive linear relationship between the number of employees and the amount of time a student waits in line 0.96; 96% of the variation in the data is explained by our model 0.96; there is a strong positive linear relationship between the number of employees and the amount of time a student waits in line
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