MAS202_-_FA_2022_-_FE_298.webp
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MAS202_-_FA_2022_-_FE_298.webp

Multiple choices 38/50
(Choose 1 answer)
(See picture)
A. 70.69%
B. 71.89%
C. 84.79%
Next
D. 17.56%
A real estate builder wishes to determine how house size (House) is influenced by family income (Income) and family size (Size). House size is measured in hundreds of square feet and income is measured in thousands of dollars. The builder randomly selected 50 families and ran the multiple regression.Partial Microsoft Excel output is provided below:
Regression Statistics
Multiple R
R Square
0.8479
0.7189
Adjusted R Square 0.7069
Standard Error
Observations
17.5571
50
ANOVA
df
Regression
SS
37043.3236
MS
F
Significance F
Residual
14487.7627
18521.6618
308.2503
0.0000
Total
49
51531.0863
Coefficients Standard Error t Stat
Intercept
Income
-5.5146
7.2273
0.4262
0.0392
Size
5.5437
1.6949
value
-0.7630
0.4493
10.8668
0.0000
3.2708
0.0020
Also SSR (XX)=36400.6326 and SSR(XX)-3297.7917
What fraction of the variability in house size is explained by income and size of family?

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