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. Select one: O a. X₁, X2, and x3 are all significant. O b. X₁ and x₂ are significant. O c. X₁ and x3 are significant. O d. X₂ and x3 are significant. Above-Ground Sq.Ft. Sale Price # Bedrooms# Full baths $479,500 3 $394,100 3 $638,000 3 $745,900 4 $300,000 3 $1,366,600 5 $587,500 5 $399,000 3 $1,450,000 5 $275,200 2 $298,500 3 $1,269,000 3 $490,000 3 $1,700,000 5 $310,000 2 1222 1128 1204 4521 950 3536 1204 1070 5308 745 1026 2598 1026 3774 1760 Perform a 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 assumir the regression assumptions are met. Based on the individual t tests, which predictor variables are significant in the initial regression? Use a significance level of a = 0.05. 1 1 2 2 1 3 2 1 2 1 1 3 2 4 2

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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.
Select one:
X₁, X2, and x3 are all significant.
O b. X₁ and x2 are significant.
c. X₁ and x3 are significant.
O d. X2 and x3 are significant.
Sale Price # Bedrooms# Full baths
3
3
3
4
1222
1128
1204
4521
950
3536
1204
1070
5308
745
1026
2598
1026
3774
1760
Perform a 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 assuming
the regression assumptions are met. Based on the individual t tests, which predictor variables are significant in the initial regression? Use a significance level of a = 0.05.
a.
$479,500
$394,100
$638,000
$745,900
$300,000
3
$1,366,600 5
$587,500
5
$399,000
3
$1,450,000
$275,200
$298,500
3
$1,269,000 3
$490,000
3
$1,700,000 5
2
$310,000
LO
5
2
1
1
2
2
1
3
2
1
2
1
1
3
2
4
Above-Ground
Sq.Ft.
2
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. Select one: X₁, X2, and x3 are all significant. O b. X₁ and x2 are significant. c. X₁ and x3 are significant. O d. X2 and x3 are significant. Sale Price # Bedrooms# Full baths 3 3 3 4 1222 1128 1204 4521 950 3536 1204 1070 5308 745 1026 2598 1026 3774 1760 Perform a 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 assuming the regression assumptions are met. Based on the individual t tests, which predictor variables are significant in the initial regression? Use a significance level of a = 0.05. a. $479,500 $394,100 $638,000 $745,900 $300,000 3 $1,366,600 5 $587,500 5 $399,000 3 $1,450,000 $275,200 $298,500 3 $1,269,000 3 $490,000 3 $1,700,000 5 2 $310,000 LO 5 2 1 1 2 2 1 3 2 1 2 1 1 3 2 4 Above-Ground Sq.Ft. 2
Expert Solution
Step 1: Define the given data

From the information, given that

 

Let Y denotes the sale price

Let X1 denotes the number of bedrooms

Let X2 denotes the number of full baths

Let X3 denotes the above-ground square footage

 

The multiple regression equation is given by,

Statistics homework question answer, step 1, image 1

Where,

a denotes the intercept,

b1, b2 and b3 denote the slope of variables X1, X2 and X3.

 

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