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The scatterplot below shows the relationship between the ages of women when they

ID: 3370417 • Letter: T

Question

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 40 35 30 24 26 2S 30 32 34 Age-nxried The regression equation for the data is Age-Birst child 6.404 0.965-(Age-married) 29) Would it be appropriate to say that the age at which a woman first marries causes her to have her 29) finst child after that aget Aj Yes, the scatterplot shows a strong, linear association, so the older a woman is when she first marries, the older she will be when she has her first child. 5) No, since the correlation coefficient does not equal 1, we cannot conclude causation No, correlation never implies causation D) Yes, since the correlation coefficient is close to 1, we can conclude causation. 30) Can we use the regression eqaation to predict the age at which a woman has her first child for a 30) woman who first married at the age of 50? A) Yes we can make a peediction because the scatterplot shows a strong positive linear B) No, we cannot make a prediction because the correlation coefficient does not equal 1 Yes, we can always make predictions once we have a regression equation. No, we cannot make a prediction because a woman who marries at age 50 is outside the range of our data. We would be extrapolating

Explanation / Answer

29. (A)

30. (A)

If there is strong linear relationship we can construct a linear regression line and predict the age

25.. (D)

Interpretation of slope: for every unit change in x , the value of y changes on an average by the value of slope.

26. (A) interpretation of intercept: value of y when x= 0 , which is practically impossible

27. (A)

Y^ = 168 + 102* 1800 = 1,83,768

2,00,000- 1,83,768 = 16,232 more than expected value

28. (A)

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