Math 137 Module 12 Review Homework
Daughter and mother height LAMC students Spring 2016
Simple linear regression results:
Dependent Variable: daughter's height
Independent Variable: mother's height
daughter's height = 3.5775438 + 0.97379782 mother's height
Sample size: 25
R (correlation coefficient) = 0.94821641
R-sq = 0.89911437
Estimate of error standard deviation: 4.0885799
Parameter estimates:
Parameter Estimate
Std. Err. Alternative DF T-Stat P-value
Intercept
3.5775438 4.0740938
≠ 0 23 0.87812014
0.389
Slope
0.97379782 0.068016154
≠ 0 23 14.317155 <0.0001
1. Describe the association between a mother’s and daughter’s height.
2. Use the regression line equation (if applicable) to predict a daughter’s height if the mother’s height is
59 inches.
3. Use the regression line equation (if applicable) to predict a daughter’s height if the mother’s height is
88 inches.
4. What is the slope of the regression line? What does the slope mean in this context? (Hint: No need to
compute.)
5. What is the y-intercept of the regression line? What does the y-intercept mean in this context? (No
need to compute). Does it have meaning in this case?
The following statistics for this scatterplot were found to be:
r=0.948
r 2  0.899
6. Given the scatterplot and these statistics, how well does the regression line fit this data? How
confident could one be in making predictions with the regression line? (Use the value of r to support
your answer.)
7. Explain the meaning in context of r 2  0.8855 with respect to this problem.
8. Are there any outliers? If so, state the ordered pairs that are outliers.