Question

Check My Work (3 remaining) eBook A regression model relating 2, number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following computer output from a regression analysis of the data. Where Mtotal = 30. ANOVA MSF Significance F SS 6650.9 Regression Residual Total 9019.7 P-value Intercept Number of Salespersons Coefficients 74.0 55.0 Standard Errort Stat 11.730 5.944 a. Write the estimated regression equation (to whole number). y= 74 + 55 x b. Compute the F statistic and test the significance of the relationship at a 0.05 level of significance. (to 2 decimals) F-value 2.81 p-value is between 0.05 and 0.10 , we reject HO c. Compute the t statistic and test the significance of the relationship at a 0.05 level of significance. (to 2 decimals) t Stat 1. B HO: B1 = = p-value is - Select your answer - ,we - Select your answer- . d. Predict the annual sales at the Memphis branch office. This branch employs 13 salespersons. (to whole number)

for b.

the p-value is

(less than 0.01, between 0.01 and 0.025, between 0.025 and 0.05, between 0.05 and 0.10, or greater than 0.10), we (Reject, Accept) H0

for c.

the p-value is

(less than 0.01, between 0.01 and 0.025, between 0.025 and 0.05, between 0.05 and 0.10, or greater than 0.10), we (Reject, Accept) H0

Answer 1

Ans:

a)

Regression equation:

y=74+55 x

b)

	df	SS	MS	F
Regression	1	6650.9	6650.9	78.62
Residual	28	2368.8	84.6
Total	29	9019.7

F statistic=78.62

less than 0.01

Reject H₀.

c)

Test statistic:

t=55/5.944=9.25

less than 0.01

Reject H₀.

d)

When x=13

y=74+55*13=789