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o see whether a widely used food preservative contributes to the hyperactivity o

ID: 3314727 • Letter: O

Question

o see whether a widely used food preservative contributes to the hyperactivity of preschool children, a dietitian chose a random sample of 10 four-year-olds known to be fairly hyperactive from various nursery schools and observed their behavior 45 minutes after they had eaten measured amounts of food containing the preservative. Here variables were x, the amount of food consumed containing preservative (in grams) and y, a subjective rating of hyperactivity (on a scale from 1 to 20). The least-squares equation is y = 1.5 + 0.16x. Suppose a child consumes 100 grams of food containing preservatives. What is his predicted hyperactivity rating? a. 17.5 b. 16.5 c. 18.5 d. 17

Explanation / Answer

y = 1.5 + 0.16x

if x is 100

this means that the y becomes y=1.5+0.16*100=17.5 , thus option A