Are the heights of individuals affected by the heights of their parents? 1)Write the regression equation that represents the equation.   2)Is this a good predictor equation? Why or why not (use appropriate statistics/hypothesis test to prove your point)?   3)Use the equation to predict the height of someone whose mother is 52 inches tall and whose father is 70 inches tall.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 5PPS
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Are the heights of individuals affected by the heights of their parents?

1)Write the regression equation that represents the equation.

 

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

 

3)Use the equation to predict the height of someone whose mother is 52 inches tall and whose father is 70 inches tall.

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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