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a. Test to determine at the 5% significance level whether in ground swimming pools is related to the house selling price. b. State the population regression line. c. Test the overall validity of the model at a 5% significance level.

a. Test to determine at the 5% significance level whether in ground swimming pools is related to the house selling price. b. State the population regression line. c. Test the overall validity of the model at a 5% significance level.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Show work, round to nearest 4th decimal place and no excel.

SUMMARY OUTPUT Multiple R R Square Adj R Square Standard Error Observations ANOVA Regression Statistics Regression Residual Total Intercept Pool 0.8050 0.6480 0.6074 9.1987 30 Home Security Mail Delivery df UNKOWN UNKOWN Regression output 29 Coefficients 14.0000 -1.0000 30.0000 0.2000 SS 4,050.0000 2,200.0000 6,250.0000 Std Error 7.0000 0.7000 5.2000 0.0800 MS UNKOWN UNKOWN t Stat 2.0000 -1.4286 5.7692 2.5000 F UNKOWN a. Test to determine at the 5% significance level whether in ground swimming pools is related to the house selling price. b. State the population regression line. C. Test the overall validity of the model at a 5% significance level. d. If you identified variables in the model that are not related to the selling price of a home, and you removed these variables, what will happen to R²? Explain.
Transcribed Image Text:SUMMARY OUTPUT Multiple R R Square Adj R Square Standard Error Observations ANOVA Regression Statistics Regression Residual Total Intercept Pool 0.8050 0.6480 0.6074 9.1987 30 Home Security Mail Delivery df UNKOWN UNKOWN Regression output 29 Coefficients 14.0000 -1.0000 30.0000 0.2000 SS 4,050.0000 2,200.0000 6,250.0000 Std Error 7.0000 0.7000 5.2000 0.0800 MS UNKOWN UNKOWN t Stat 2.0000 -1.4286 5.7692 2.5000 F UNKOWN a. Test to determine at the 5% significance level whether in ground swimming pools is related to the house selling price. b. State the population regression line. C. Test the overall validity of the model at a 5% significance level. d. If you identified variables in the model that are not related to the selling price of a home, and you removed these variables, what will happen to R²? Explain.
Despite the downturn in home prices and listings, the manager of 4Sale Realty is trying to understand some of the factors influencing the selling price of a home. It's well known that house size and location are key factors, but the manager wants to develop a more refined model and wants to understand the impact on price of 3 additional factors; a pool, home security systems, Canada Post 'at home' mail delivery. She asks you to investigate this and provide some insight. A random sample of 30 homes are selected. For each home, the following information was gathered (all figures are in thousands of dollars): = House selling price y X₁ = In ground swimming pools X2 = Security systems and floodlights x3 = Home mail delivery by Canada Post The sample data produced the following results:
Transcribed Image Text:Despite the downturn in home prices and listings, the manager of 4Sale Realty is trying to understand some of the factors influencing the selling price of a home. It's well known that house size and location are key factors, but the manager wants to develop a more refined model and wants to understand the impact on price of 3 additional factors; a pool, home security systems, Canada Post 'at home' mail delivery. She asks you to investigate this and provide some insight. A random sample of 30 homes are selected. For each home, the following information was gathered (all figures are in thousands of dollars): = House selling price y X₁ = In ground swimming pools X2 = Security systems and floodlights x3 = Home mail delivery by Canada Post The sample data produced the following results:
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