4 4. (3 points) Use the following information to answer parts (a) and (b). The s

Question

4 4. (3 points) Use the following information to answer parts (a) and (b). The scatterplot below shows the relationship between the ages of women when they first married and the ages when they had their first child. The correlation coefficient between the values is 0.9315. The regression equation is Age when had first child = 6.404 + 0.955(Age when married) (a) Would it be appropriate to say that the age at which a woman first marries causes her to have her first child after that age? Explain why or why not. 40 5 35 30 24 26 28 30 32 34 Age married (b) Can we use the regression equation to predict the age at which a woman has her first child for a woman who first married at the age of 50? Explain why or why not

Explanation / Answer

a)
no,
correlation does not imply causation
we see that there is correlation between age when had first child and age when married
we see that intercept and slope both are positive ,
hence age when had first child > age when married

but it does not mean that age at which a woman marries causes her to have first child after that age.
as having first child does not require to be married

b)
no , at the data we have is between 24 and 36
and 50 is not in this range
regression result can give wrong result at age-married = 50
hence
we should not use the regression equation to predict the age at which a
woman has her first child

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