A multiple linear regression model based on a sample of 20weeks is developed to predict standby hours based on the total staff present and remote hours. The SSR is 25,012.01 and the SSE is 31,182.99.

Complete parts (a) through (d) below.

Part 1

a. Determine whether there is a significant relationship between standby hours and the two independent variables (total staff present and remote hours) at the 0.05 level of significance.

What are the correct hypotheses to test?

H0:

H1:

At least one beta Subscript j Baseline not equals 0 comma j equals 1 comma 2 comma 3Atleastonej0,j=1,2,3

At least one beta Subscript j Baseline not equals 0 comma j equals 0 comma 1Atleastonej0,j=0,1

beta 0 equals beta 1 equals beta 2 equals 00=1=2=0

beta 1 equals beta 2 equals beta 3 equals 01=2=3=0

At least one beta Subscript j Baseline not equals 0 comma j equals 1 comma 2Atleastonej0,j=1,2

beta 1 equals beta 2 equals 01=2=0

Part 2

Calculate the test statistic.

FSTAT=?

(Round to two decimal places as needed.)

Part 3

Determine the p-value.

The p-value is ?

(Round to four decimal places as needed.)

Part 4

State the conclusion.

Since the p-value is

lessless

greatergreater

than the level of significance,

do not rejectdonotreject

rejectreject

the null hypothesis. There is

sufficientsufficient

insufficientinsufficient

evidence to conclude there is a linear relationship.

Part 5

b. Interpret the meaning of the p-value. Choose the correct answer below.

A.

The p-value is the probability of getting an overall test statistic equal to or less than the sample result, assuming there is no linear relationship between the dependent variable and the independent variables.

B.

The p-value is the probability that there is a linear relationship between the two independent variables.

C.

The p-value is the probability of getting an overall test statistic equal to or greater than the sample result, assuming there is no linear relationship between the dependent variable and the independent variables.

D.

The p-value is the probability that there is a linear relationship between the dependent variable and at least one of the independent variables.

Part 6

c. Compute the coefficient of multiple determination,

r2, and interpret its meaning.

r2=?

(Round to four decimal places as needed.)

Part 7

Interpret the meaning of

r2.

The coefficient of multiple determination indicates that

enter your response here%

of the variation in

total staff present

total staff present and remote hours

remote hours

standby hours

can be explained by the variation in

remote hours.

standby hours.

total staff present.

total staff present and remote hours.

(Round to two decimal places as needed.)

Part 8

d. Compute the adjusted r2.

r2adj=?

(Round to four decimal places as needed.)