Write the regression equation that represents the above equation.  Y = 9.804326378  + 0.65795*X1 + 0.200358 X2  Height of an individual = 9.8043 + 0.6579*Mother's Height + 0.2004* Father's Height     2)Is this a good predictor equation? Why or why not (use appropriate statistics/hypothesis test to prove your point)?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
Problem 14SBE: Quartic Regression In Exercise S-8 through S-14, use regression to find a quartic model for the...
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1)Write the regression equation that represents the above equation.

 Y = 9.804326378  + 0.65795*X1 + 0.200358 X2 

Height of an individual = 9.8043 + 0.6579*Mother's Height + 0.2004* Father's Height

 

 

2)Is this a good predictor equation? Why or why not (use appropriate statistics/hypothesis test to prove your point)?

Regression Statistics
Multiple R
R Square
Adjusted R Squar
Standard Error
0.631071992
0.398251859
0.365724932
2.914527039
Observations
40
ANOVA
df
SS
MS
F Significance F
Regression
Residual
208.0084392 104.0042 12.24376 8.30181E-05
37
314.2953108 8.494468
Total
39
522.30375
Coefficients
Standard Error
t Stat
P-value
9.804326378
Intercept
Mother's Height
Father's Height
12.39987353 0.79068 0.43417
0.657952815
0.147476295 4.461414 7.34E-05
0.200358437
0.138223638 1.449524 0.155615
Transcribed Image Text:Regression Statistics Multiple R R Square Adjusted R Squar Standard Error 0.631071992 0.398251859 0.365724932 2.914527039 Observations 40 ANOVA df SS MS F Significance F Regression Residual 208.0084392 104.0042 12.24376 8.30181E-05 37 314.2953108 8.494468 Total 39 522.30375 Coefficients Standard Error t Stat P-value 9.804326378 Intercept Mother's Height Father's Height 12.39987353 0.79068 0.43417 0.657952815 0.147476295 4.461414 7.34E-05 0.200358437 0.138223638 1.449524 0.155615
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