9. At a certain school, 41% of the students play soccer, 30%play volleyball, and 14% play both soccer and volleyball. If astudent is chosen at random, find the probability that he/she playsneither soccer nor volleyball.: *
(A) 0.71
(B) 0.57
(C) 0.43
(D) 0.413
Questions 10-12: A simple linear regression model was fit to thesituation of using the number of pages in a book (in hundreds) topredict the number of typos in the book. The equation is y = 1.2 +3.4x.
10. Interpret the slope.: *
(A) For every additional page in length, a book is expected to havean extra 3.4 typos on average.
(B) A 400-page book, on average, should have 3.4 more typos than a300-page book.
(C) For every additional 3.4 pages in length, a book is expected tohave an extra 1.2 typos on average.
(D) The slope has no practical interpretation in this context.
11. Find the predicted number of typos in a 500-page book.:*
(A) 17
(B) 18.2
(C) 171.2
(D) 1701.2
12. Explain what it would mean if an actual 500-page book had aresidual of -3.2.: *
(A) This particular book is definitely an outlier and should bedropped from the model.
(B) This particular book had a predicted value smaller than itsactual value.
(C) This particular book had a predicted value larger than itsactual value.
(D) A mistake has been made since residuals cannot be negative.
