Suppose that a dependent variable y is related to an

Chapter 12, Problem 12.1.1

(choose chapter or problem)

Suppose that a dependent variable y is related to an explanatoryvariablex throughalinearregressionmodelwith 0 =4.2, 1 =1.7, and with normally distributed error termswithazeromeanandastandarddeviationof =3.2. (a) What is the expected value of the dependent variable when x =10.0? (b) How much does the expected value of the dependent variable change when the explanatory variable increases by 3? (c) What is the probability that the dependent variable is larger than 12.0 when x =5? (d) What is the probability that the dependent variable is smaller than 17.0 when x =8? (e) What is the probability that a dependent variable obtained at x =6 is larger than a dependent variable obtained at x =7?

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