Consider the following summary statistics for the mother's age (in years) and baby's birth weight (in grams) for a sample of 10 young women who gave birth as teenagers:
Mean age: 17.0 years SD ages: 1.49 years
Mean birth weight: 3004 grams SD birth weights: 414 grams
Correlation coefficient between age and birth weight: .884
1. Use these summary statistics to determine the equation of the least squares line for predicting the baby's weight from the mother's age.
2. Provide a properly labeled plot showing this line of regression. [Hint: you must keep your x's and y's consistent.]
3. Use the least squares line to predict the weight of a baby born to a 17-year-old mother.
4. Would you use this least squares line to predict the weight of a baby born to a 37-year-old mother? Explain.
5. What percentage of variability in baby weights is explained by the linear relationship with mother's age?