A real estate builder wishes to determine how house size is influenced by family income, family size, and education of the head of household. House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is measured in years. A partial computer output is shown below. True or False: The data provide enough evidence at the 5% significance level to conclude that family income and house size are linearly related

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A real estate builder wishes to determine how house size is influenced by family income, family size, and education of the head of household. House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is measured in years. A partial computer output is shown below.

True or False: The data provide enough evidence at the 5% significance level to conclude that family income and house size are linearly related.

SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
ANOVA
Regression
Residual
Total
Intercept
Family Income
Family Size
Education
0.865
0.748
0.726
5.195
50
df
49
Coeff.
-1.6335
0.4485
4.2615
-0.6517
SS
3605.7736
1214.2264
4820.0000
St. Error
5.8078
0.1137
0.8062
0.4319
MS
901.4434
26.9828
t Stat
-0.281
3.9545
5.286
-1.509
33.408
Signif F
0.0001
P-value
0.7798
0.0003
0.0001
0.1383
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA Regression Residual Total Intercept Family Income Family Size Education 0.865 0.748 0.726 5.195 50 df 49 Coeff. -1.6335 0.4485 4.2615 -0.6517 SS 3605.7736 1214.2264 4820.0000 St. Error 5.8078 0.1137 0.8062 0.4319 MS 901.4434 26.9828 t Stat -0.281 3.9545 5.286 -1.509 33.408 Signif F 0.0001 P-value 0.7798 0.0003 0.0001 0.1383
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