A multiple linear regression model based on a sample of 23 months is developed t
ID: 3209447 • Letter: A
Question
A multiple linear regression model based on a sample of 23 months is developed to predict distribution cost for a warehouse based on the sales and number of orders. The SSR is 30,396 and the SSE is 60,836. Complete parts (a) through (d) below.
Calculate the test statistic.
FSTAT=________________ (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 (1) __________________than the level of significance, (2)_______________________ the null hypothesis. There is (3) ____________________ evidence to conclude there is a linear relationship.
b. Interpret the meaning of the p-value.
A.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.
B.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.The p-value is the probability that there is a linear relationship between the two 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.
c. Compute the coefficient of multiple determination, r2, and interpret its meaning.
r2=____________________(Round to four decimal places as needed)
Interpret the meaning of r2.
The coefficient of multiple determination indicates that _________________% of the variation in (4)_________________can be explained by the variation in (5) ______________ (Round to two decimal places as needed)
d. Compute the adjusted r2
r2adj=______________________ (Round to four decimal places as needed.)
(1)____greater
_____less
(2) _____do not reject
_____reject
(3) _____sufficient
_____insufficient
(4) _____Appraised value
_____age
_____land area and age
_____land area
(5) _____appraised value
_____land area and age
_____land area
______age
Explanation / Answer
Result:
A multiple linear regression model based on a sample of 23 months is developed to predict distribution cost for a warehouse based on the sales and number of orders. The SSR is 30,396 and the SSE is 60,836. Complete parts (a) through (d) below.
Calculate the test statistic.
DF
SS
MSS
F
Regression
2
30396
15198
4.996384
Error
20
60836
3041.8
Total
22
91232
FSTAT= 5.00 (Round to two decimal places as needed.)
Determine the p-value.
The p-value is 0.0173 (Round to four decimal places as needed.)
State the conclusion.
Since the p-value is (1) less than the level of significance, (2) Reject the null hypothesis. There is (3) sufficient evidence to conclude there is a linear relationship.
b. Interpret the meaning of the p-value.
A.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.
B.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.The p-value is the probability that there is a linear relationship between the two 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.
c. Compute the coefficient of multiple determination, r2, and interpret its meaning.
r2=0.3332 (Round to four decimal places as needed)
Interpret the meaning of r2.
The coefficient of multiple determination indicates that 33.32 % of the variation in (4) Appraised value can be explained by the variation in (5) land area and age (Round to two decimal places as needed)
d. Compute the adjusted r2
r2adj= 0.2665 (Round to four decimal places as needed.)
DF
SS
MSS
F
Regression
2
30396
15198
4.996384
Error
20
60836
3041.8
Total
22
91232
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