Listed in the table below are the selling prices, number of bedrooms, number of full baths, and above-ground square footage for 15 single-family residential homes that sold in Boulder, CO in January of 2011. Above-Ground Sq.Ft. Sale Price # Bedrooms# Full baths $479,500 3 1 $394,100 3 1 $638,000 3 2 $745,900 4 2 4521 $300,000 3 1 950 $1,366,600 5 3 3536 $587,500 5 2 1204 $399,000 3 1 1070 $1,450,000 5 2 5308 $275,200 2 1 745 $298,500 3 1 1026 $1,269,000 3 3 2598 $490,000 3 2 1026 $1,700,000 5 4 3774 $310,000 2 2 1760 Assuming the regression assumptions are met, perform the multiple regression of y = sale price on the set of predictor variables x₁ = number of bedrooms, x2 = number of full bath and x3 = above-ground square footage. Conduct the F test for the significance of overall regression and state your conclusion. Use a significance level of a = 0.05. 1222 1128 1204 Select one: O a. Since the p-value is approximately 0, there is evidence that a linear relationship exists between sale price and each of the predictor variables. O b. Since the p-value is approximately 0, there is evidence that a linear relationship exists between sale price and at least one of the predictor variables. O c. Since the p-value is greater than 0.05, there is evidence that a linear relationship does not exist between sale price and the set of predictor variables. O d. Since the p-value is greater than 0.05, this multiple regression is not significant. Individual t tests must be performed to determine whether a linear relationship exists between sale price and the individual predictors.

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Listed in the table below are the selling prices, number of bedrooms, number of full baths, and above-ground square footage for 15 single-family residential homes that sold in
Boulder, CO in January of 2011.
4
Sale Price # Bedrooms# Full baths
$479,500
3
$394,100
3
$638,000
3
$745,900
$300,000
$1,366,600
$587,500
5
$399,000
3
$1,450,000 5
$275,200
2
$298,500
3
3
$1,269,000
$490,000
3
1026
4
3774
$1,700,000 5
2
$310,000
2
1760
Assuming the regression assumptions are met, perform the multiple regression of y = sale price on the set of predictor variables x₁ = number of bedrooms, x2 = number of full baths
and x3 = above-ground square footage. Conduct the F test for the significance of overall regression and state your conclusion. Use a significance level of a = 0.05.
3
LO
5
1
1
2
2
1
3
2
1
2
1
1
3
Above-Ground
Sq.Ft.
2
1222
1128
1204
4521
950
3536
1204
1070
5308
745
1026
2598
Select one:
a. Since the p-value is approximately 0, there is evidence that a linear relationship exists between sale price and each of the predictor variables.
O b.
Since the p-value is approximately 0, there is evidence that a linear relationship exists between sale price and at least one of the predictor variables.
O c. Since the p-value is greater than 0.05, there is evidence that a linear relationship does not exist between sale price and the set of predictor variables.
O d. Since the p-value is greater than 0.05, this multiple regression is not significant. Individual t tests must be performed to determine whether a linear relationship exists
between sale price and the individual predictors.
Transcribed Image Text:Listed in the table below are the selling prices, number of bedrooms, number of full baths, and above-ground square footage for 15 single-family residential homes that sold in Boulder, CO in January of 2011. 4 Sale Price # Bedrooms# Full baths $479,500 3 $394,100 3 $638,000 3 $745,900 $300,000 $1,366,600 $587,500 5 $399,000 3 $1,450,000 5 $275,200 2 $298,500 3 3 $1,269,000 $490,000 3 1026 4 3774 $1,700,000 5 2 $310,000 2 1760 Assuming the regression assumptions are met, perform the multiple regression of y = sale price on the set of predictor variables x₁ = number of bedrooms, x2 = number of full baths and x3 = above-ground square footage. Conduct the F test for the significance of overall regression and state your conclusion. Use a significance level of a = 0.05. 3 LO 5 1 1 2 2 1 3 2 1 2 1 1 3 Above-Ground Sq.Ft. 2 1222 1128 1204 4521 950 3536 1204 1070 5308 745 1026 2598 Select one: a. Since the p-value is approximately 0, there is evidence that a linear relationship exists between sale price and each of the predictor variables. O b. Since the p-value is approximately 0, there is evidence that a linear relationship exists between sale price and at least one of the predictor variables. O c. Since the p-value is greater than 0.05, there is evidence that a linear relationship does not exist between sale price and the set of predictor variables. O d. Since the p-value is greater than 0.05, this multiple regression is not significant. Individual t tests must be performed to determine whether a linear relationship exists between sale price and the individual predictors.
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