A multiple linear regression model based on a sample of 30 weeks is developed to predict...
A multiple linear regression model based on a sample of 30 weeks is developed to predict standby hours based on the total staff present and remote hours. The SSR is
24672.31and the SSE is 32019.36. Complete parts (a) through (d) below.
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: ________________
Calculate the test statistic.
F STAT = __________
(Round to two decimal places as needed.)
Determine the p-value.
The p-value is ___________
(Round to four decimal places as needed.)
State the conclusion.
Since the p-value is __(LESS/GREATER)______ than the level of significance, ___________________(REJECT/DO NOT REJECT) the null hypothesis. There is ________ insufficient/
sufficient evidence to conclude there is a linear relationship.
b. Interpret the meaning of the p-value. Choose the correct answer below.
A. The p-value is the probability that there is a linear relationship between the dependent variable and at least one of 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 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.
c. Compute the coefficient of multiple determination,
r squared = _____________
(Round to four decimal places as needed.)
.
The coefficient of multiple determination indicates that ______ % of the variation (Round to two decimal places as needed.) in ▼
standby hours
total staff present
total staff present and remote hours
remote hours
can be explained by the variation in
▼
total staff present.
remote hours.
standby hours.
total staff present and remote hours.
d. Compute the adjusted r squared .
r Squared, ADJ equals_____________(Round to four decimal places as needed.)
Homework Answers
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A multiple linear regression model based on a sample of 30 weeks
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