Question: A sports statistician creates a multiple linear regression model to predict the salary for a quarterback in the NFL (National Football League) based on PCT

A sports statistician creates a multiple linear regression model to predict the salary for a quarterback in the NFL (National Football League) based on PCT (pass completion percentage), TD (number of touchdowns scored) and age (years). Assume that all assumptions and conditions have been met. All hypothesis tests for this analysis will be conducted using . You will start by testing the significance of the regression using an F-test where H0: The regression is not significant HA: The regression is significant 1.What is the value of the F statistic? Answer to three decimal places.

2.What is the total number of quarterbacks that were used in this analysis? Answer as a whole number.

3.What is the predicted salary for a quarterback who is 28 years old, has a pass completion percentage of 58.1%, and has scored 16 touchdowns? Answer in dollars to the nearest integer (no decimal places).

4.What is the adjusted R2 value for this analysis? Answer as a proportion to four decimal places.

5.Calculate the 99% confidence interval for the co-efficient associated with the variable "PCT (pass completion percentage)". Answer in ascending order to the nearest integer (no decimal places).

6.The p-value associated with the F-test from Question 21 is 0.0026, so the null hypothesis is rejected and it is found that the regression is significant. You will now test the significance of each variable in the regression model. Which of the following variables are significant? Select all that apply. PCT (pass completion percentage) TD (Touchdowns scored) Age (years)

A sports statistician creates a multiple linear regression model to predict the

SUMMARY OUTPUT Regression Statistics Multiple R 0.626957093 R Square 0.393075196 Adjusted R Square Standard Error 5498945.171 Observations ANOVA Regression 5.48356+14 Residual 28 8.466750+14 Total 31 1.39502c+15 Coufictents Standard Error 1 Stat P-value Intercept 32786679.15 20730997.81 1.58152924 0.1249887 PCT ( Pass completion percentage) -826472.3895 438337.5039 -1.8854704 0 0697818 TD (touchdowns scored) 784973.8994 249271.3195 3.14907427 0.0038721 Age (years) 386183.3758 253262.3102 1.52483556 0.1385169

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