A sample of 30 companies was randomly selected for a study investigating what factors affect the size of company bonuses. Data were collected on the number of employees at the company and whether or not the employees were unionized (1 = yes, 0 = no). Below are the multiple regression results. a. Write out the estimated regression equation.
b. Are all of the independent variables significant in this regression equation (using α = 0 .05)? Explain.
c. Interpret the coefficient of the Union.
d. Based on the scatterplot below, do you think using Union as an indicator variable in this model is appropriate? Explain. e. An alternative multiple regression model is fit to these data and the results are shown below. Which model is better? Explain. f. Using the better model, predict the annual average bonus for a company with 7500 employees that are not unionized.

Question

A sample of 30 companies was randomly selected for a study investigating what factors affect the size of company bonuses. Data were collected on the number of employees at the company and whether or not the employees were unionized (1 = yes, 0 = no). Below are the multiple regression results.  a. Write out the estimated regression equation.
b. Are all of the independent variables significant in this regression equation (using α = 0 .05)? Explain.
c. Interpret the coefficient of the Union.
d. Based on the scatterplot below, do you think using Union as an indicator variable in this model is appropriate? Explain.  e. An alternative multiple regression model is fit to these data and the results are shown below. Which model is better? Explain.  f. Using the better model, predict the annual average bonus for a company with 7500 employees that are not unionized.

Quizplus · Accepted Answer

The Answer of A sample of 30 companies was randomly selected for a study investigating what factors affect the size of company bonuses. Data were collected on the number of employees at the company and whether or not the employees were unionized (1 = yes, 0 = no). Below are the multiple regression results.  a. Write out the estimated regression equation.
b. Are all of the independent variables significant in this regression equation (using α = 0 .05)? Explain.
c. Interpret the coefficient of the Union.
d. Based on the scatterplot below, do you think using Union as an indicator variable in this model is appropriate? Explain.  e. An alternative multiple regression model is fit to these data and the results are shown below. Which model is better? Explain.  f. Using the better model, predict the annual average bonus for a company with 7500 employees that are not unionized.

A Sample of 30 Companies Was Randomly Selected for a Study