A cleaning service sends crews to residential homes on either a once-a-month or twice-a-month schedule, depending on the customer's perference. The owner would like to predict the amount of time, in minutes, required to clean a house based on the square footage of the house, the total number of rooms in the house, the number of bathrooms it has, and the size of the cleaning crew. Complete parts a through d below. a. Construct a regression model using all the independent variables. Let y be the predicted time in minutes, x, be the square feet, X2 be the number of rooms, x3 be the number of bathrooms, and x be the size of the crew. " = (0) +() *1 + () *2 + () x3 + () *4 (Round the coefficients to three decimal places as needed. Round the constant to two decimal places as needed.) b. Calculate the multiple coefficient of determination. R2 = (Round to three decimal places as needed.) c. Test the significance of the overall regression model using a = 0. 10. What are the null and alternative hypotheses for this test? O A. Ho: By1 # B2 # B3 # B4 (Relationship exists between the variables) H1: By = B2= B3=B4 (No relationship between the variables) O B. Ho: At least one ; #0 (Relationship exists between the variables) H1: B1 = P2= B3= B4= 0 (No relationship between the variables) O C. Ho: P1 = P2 = P3 = P4 (No relationship between the variables) H1: By # B2 # P3 # B4 (Relationship exists between the variables) O D. Ho: B1 = P2 = P3 = P4= 0 (No relationship between the variables) Hy: At least one ; #0 (Relationship exists between the variables) Identify the value of the test statistic.A cleaning service sends crews to residential homes on either a once-a-month or twice-a-month schedule, depending on the customer's perference. The owner would like to predict the amount of time, in minutes, required to clean a house based on the square footage of the house, the total number of rooms in the house, the number of bathrooms it has, and the size of the cleaning crew. Complete parts a through d below. O C. Ho: P1 = P2 = P3= B4 (No relationship between the variables) H1: By # B2# B3 # B4 (Relationship exists between the variables) O D. Ho: B1 = P2= P3 = B4=0 (No relationship between the variables) Hy: At least one ; #0 (Relationship exists between the variables) Identify the value of the test statistic. F = (Round to one decimal place as needed.) Calculate the p-value. The p-value is . (Round to three decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Since the p-value is less than a, reject the null hypothesis. The overall regression model is significant at the a = 0.10 significance level. O B. Since the p-value is greater than a, do not reject the null hypothesis. The overall regression model is significant at the