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The table below gives the self-reported heights of 10 college women (Daughter’s height) along with the heights of their mothers (Mother’s height).

Mother's height (inches) (x) 62
67
64
66
65
63
65
61
59
67
Daughter's height (inches) (y) 60
66
65
66
67
63
69
63
61
65

a) (8 pts) Draw a scatter plot for these data, placing Mother’s height on the horizontal axis and the 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 negative or positive.

b) (8 pts) Find the correlation between the mother’s and daughter’s height. Show all your work.

c) (2 pts) Do the value and the sign (positive or negative) of the correlation in part b) make sense based on the scatter plot from part a)? Explain.

Sagot :

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