MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.
expand button
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:
expand button
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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