The table below gives the self-reported heights of 10 college women (“Daughter’s height”), along with the heights of their mothers.
Daughter’s height (y) Mother’s height (x)
60........... 62
66........... 67
65........... 64
66........... 66
67........... 65
63........... 63
69........... 65
63........... 61
61........... 59
65........... 67
a. Draw a scatter plot for these data, placing Mother’s height on the horizontal axis and Daughter’s height on the vertical axis. Comment on whether or not it looks like there is a linear relationship and, if so, whether it is positive or negative.
b. Using Excel, a calculator, or other software, find the correlation between the mother’s and daughter’s heights. Do the value and the sign (positive or negative) make sense based on the scatterplot from part (a)? Explain.
c. Using Excel, a calculator, or other software, find the intercept and slope for the regression equation with x = Mother’s height and y = Daughter’s height.
d. The equation you found in part (c) might be useful for predicting the height of a female from her mother’s height before the daughter is fully grown. Use the equation to predict the height of the daughter of a mother who is 63 inches tall.