A national homebuilder builds single-family homes and condominium-style townhouses. The accompanying dataset provides information on the selling price, lot cost, and type of home for closings during one month. Complete parts a through c. A Click the icon to view the house sales data. - X House sales data a. Develop a multiple regression model for sales price as a function of lot cost and type of home without any interaction term. Create a dummy variable named "Townhouse", where it is equal to 1 when Type = "Townhouse" and 0 otherwise. Determine the coefficients of the regression equation. Туре Townhouse Single Family $138,530 Townhouse Single Family Townhouse Townhouse Sales Price = 108726 +( 3.68 ) • Lot Cost + ( – 75063 ) • Townhouse (Round the constant and coefficient of Townhouse to the nearest integer as needed. Round all other values to two decimal places as needed.) Sales Price $114,740 Lot Cost $21,700 $26,550 $149,905 $172,000 $183,916 $189,390 b. Determine if an interaction exists between lot cost and type of home and find the best model. Use a = 0.1 as the level of significance. First determine whether an interaction exists. Select the correct choice below and, if necessary. fillin te answer box to complete your choice. © A. An interaction exists because the p-value of the variable Lot Cost · Townhouse is . which is less than a. $25,550 $26,200 $46,025 $28,000 $36,000 $46,025 $46,025 $40.299 $37,500 Single Family $191,120 Townhouse Townhouse Single Family Single Family $216,205 Townhouse Single Family $257,000 Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family $494,820 (Type an integer or a decimal rounded to three decimal places as needed.) O B. An interaction exists because the p-value of the variable Townhouse i $198,898 $205,076 $207,821 s. which is greater than a. (Type an integer or a decimal rounded to three decimal places as needed.) $252,800 $74,400 $44,198 $44,344 $42,099 $46,000 $45,650 $58,000 $60,000 $46,850 OC. An interaction exists because the p-value of the variable Lot Cost is which is greater than a. (Type an integer or a decimal rounded to three decimal places as needed.) O D. No interaction exists because the p-value is less than a for all of the independent variables $270,000 $270,500 $273,105 $279,720 $296,990 $303,500 $309,487 $314,898 $321,602 $326,412 $339,374 $339,380 $340,065 $356,117 $361,949 $434,426 $41,768 $83,300 $63,523 $71,449 $50,150 $55,850 $57 219 $51,591 $58,422 $85,122 Print Done
A national homebuilder builds single-family homes and condominium-style townhouses. The accompanying dataset provides information on the selling price, lot cost, and type of home for closings during one month. Complete parts a through c. A Click the icon to view the house sales data. - X House sales data a. Develop a multiple regression model for sales price as a function of lot cost and type of home without any interaction term. Create a dummy variable named "Townhouse", where it is equal to 1 when Type = "Townhouse" and 0 otherwise. Determine the coefficients of the regression equation. Туре Townhouse Single Family $138,530 Townhouse Single Family Townhouse Townhouse Sales Price = 108726 +( 3.68 ) • Lot Cost + ( – 75063 ) • Townhouse (Round the constant and coefficient of Townhouse to the nearest integer as needed. Round all other values to two decimal places as needed.) Sales Price $114,740 Lot Cost $21,700 $26,550 $149,905 $172,000 $183,916 $189,390 b. Determine if an interaction exists between lot cost and type of home and find the best model. Use a = 0.1 as the level of significance. First determine whether an interaction exists. Select the correct choice below and, if necessary. fillin te answer box to complete your choice. © A. An interaction exists because the p-value of the variable Lot Cost · Townhouse is . which is less than a. $25,550 $26,200 $46,025 $28,000 $36,000 $46,025 $46,025 $40.299 $37,500 Single Family $191,120 Townhouse Townhouse Single Family Single Family $216,205 Townhouse Single Family $257,000 Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family Single Family $494,820 (Type an integer or a decimal rounded to three decimal places as needed.) O B. An interaction exists because the p-value of the variable Townhouse i $198,898 $205,076 $207,821 s. which is greater than a. (Type an integer or a decimal rounded to three decimal places as needed.) $252,800 $74,400 $44,198 $44,344 $42,099 $46,000 $45,650 $58,000 $60,000 $46,850 OC. An interaction exists because the p-value of the variable Lot Cost is which is greater than a. (Type an integer or a decimal rounded to three decimal places as needed.) O D. No interaction exists because the p-value is less than a for all of the independent variables $270,000 $270,500 $273,105 $279,720 $296,990 $303,500 $309,487 $314,898 $321,602 $326,412 $339,374 $339,380 $340,065 $356,117 $361,949 $434,426 $41,768 $83,300 $63,523 $71,449 $50,150 $55,850 $57 219 $51,591 $58,422 $85,122 Print Done
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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I need help with question b
![A national homebuilder builds single-family homes and condominium-style townhouses. The accompanying dataset provides information on the selling price, lot cost, and type of home for closings during one month. Complete parts a through c.
Family
E Click the icon to view the house sales data.
House sales data
a. Develop a multiple regression model for sales price as a function of lot cost and type of home without any interaction term.
Create a dummy variable named "Townhouse", where it is equal to 1 when Type = "Townhouse" and 0 otherwise. Determine the coefficients of the regression equation.
Sales Price
$114,740
$138,530
$149,905
$172,000
$183,916
$189,390
$191,120
$198.898
Lot Cost
$21,700
$26,550
$25.550
Туре
Townhouse
Sales Price = 108726 + ( 3.68 ) • Lot Cost + ( - 75063 ) • Townhouse
Single Family
(Round the constant and coefficient of Townhouse to the nearest integer as needed. Round all other values to two decimal places as needed.)
Townhouse
Single Famins
Townhouse
$26,200
$46,025
$28,000
$36,000
$46,025
$46,025
$40,299
$37,500
b. Determine if an interaction exists between lot cost and type of home and find the best model. Use a = 0.1 as the level of significance
Townhouse
First determine whether an interaction exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Single Family
house
Townhouse
O A. An interaction exists because the p-value of the variable Lot Cost • Townhouse is
,which is less than a
Townhouse
Single Family
Single Family
Townhouse
$205.076
(Type an integer or a decimal rounded to three decimal places as needed.)
$207,821
$216.205
O B. An interaction exists because the p-value of the variable Townhouse is
(Type an integer or a decimal rounded to three decimal places as needed.)
which is greater than a.
$74,400
$44,198
$44,344
$42,099
$46,000
$45,650
$58,000
$60,000
$46,850
$252,800
$257,000
Single Family
Single Family
O C. An interaction exists because the p-value of the variable Lot Cost is
which is greater than a.
Single Family
Single Family
Single Family
Family
Single Family
Single Family
Single Family
Single Family
$270.000
$270,500
$273,105
$279,720
$296,990
$303,500
$309,487
(Type an integer or a decimal rounded to three decimal places as needed.)
O D. No interaction exists because the p-value is less than a for all of the independent variables.
$314,898
$321,602
$326,412
$339,374
$339,380
$340,065
$356,117
$361 949
$41,768
$83,300
$63,523
$71,449
S50 150
Single Family
Single
Single
Family
Single
Family
S55.850
Family
Single Family
Single Family
Single Family
Single
$57 219
$51.591
$434,426
$494.820
$58.422
$85,122
Print
Done](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e048f0b-5f9a-4230-bf35-655b1c461c20%2F957e57ff-d994-4414-a9ff-bbff7492ac53%2Fk5zxz0l_processed.png&w=3840&q=75)
Transcribed Image Text:A national homebuilder builds single-family homes and condominium-style townhouses. The accompanying dataset provides information on the selling price, lot cost, and type of home for closings during one month. Complete parts a through c.
Family
E Click the icon to view the house sales data.
House sales data
a. Develop a multiple regression model for sales price as a function of lot cost and type of home without any interaction term.
Create a dummy variable named "Townhouse", where it is equal to 1 when Type = "Townhouse" and 0 otherwise. Determine the coefficients of the regression equation.
Sales Price
$114,740
$138,530
$149,905
$172,000
$183,916
$189,390
$191,120
$198.898
Lot Cost
$21,700
$26,550
$25.550
Туре
Townhouse
Sales Price = 108726 + ( 3.68 ) • Lot Cost + ( - 75063 ) • Townhouse
Single Family
(Round the constant and coefficient of Townhouse to the nearest integer as needed. Round all other values to two decimal places as needed.)
Townhouse
Single Famins
Townhouse
$26,200
$46,025
$28,000
$36,000
$46,025
$46,025
$40,299
$37,500
b. Determine if an interaction exists between lot cost and type of home and find the best model. Use a = 0.1 as the level of significance
Townhouse
First determine whether an interaction exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Single Family
house
Townhouse
O A. An interaction exists because the p-value of the variable Lot Cost • Townhouse is
,which is less than a
Townhouse
Single Family
Single Family
Townhouse
$205.076
(Type an integer or a decimal rounded to three decimal places as needed.)
$207,821
$216.205
O B. An interaction exists because the p-value of the variable Townhouse is
(Type an integer or a decimal rounded to three decimal places as needed.)
which is greater than a.
$74,400
$44,198
$44,344
$42,099
$46,000
$45,650
$58,000
$60,000
$46,850
$252,800
$257,000
Single Family
Single Family
O C. An interaction exists because the p-value of the variable Lot Cost is
which is greater than a.
Single Family
Single Family
Single Family
Family
Single Family
Single Family
Single Family
Single Family
$270.000
$270,500
$273,105
$279,720
$296,990
$303,500
$309,487
(Type an integer or a decimal rounded to three decimal places as needed.)
O D. No interaction exists because the p-value is less than a for all of the independent variables.
$314,898
$321,602
$326,412
$339,374
$339,380
$340,065
$356,117
$361 949
$41,768
$83,300
$63,523
$71,449
S50 150
Single Family
Single
Single
Family
Single
Family
S55.850
Family
Single Family
Single Family
Single Family
Single
$57 219
$51.591
$434,426
$494.820
$58.422
$85,122
Print
Done
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