11.45 Automobile accidents result in a tragic loss of life and, in addition, represent a serious dollar

Question:

11.45 Automobile accidents result in a tragic loss of life and, in addition, represent a serious dollar loss to the nation’s economy. Shown in the Table 11.3 are the number of highway deaths (to the nearest hundred) and the number of licensed vehicles

(in hundreds of thousands) for the years 1950–1979. (The years are coded 1–30 for convenience.)

During the years 1974–1979 (years 25–30 in the table), the nationwide 55-mileper-

hour speed limit was in effect.

a Write a second-order model relating the number y of highway deaths for a year to the number x1 of licensed vehicles.

b2 a = 0.05 7 0 b2 b2 7 0 6 0 sbN 2 = 0.00712 b N 2 = 0.0015 Y = b0 + b1x + b2x2 + e s e 2 b2 = 0 a = 0.05 a = 0.05 E(Y ) = b0 + b1x + b2x2

(Ha: b2 Z 0)

H0: b2 = 0 E(Y) = b0 + b1x b The computer printout for fitting the model to the data is shown below. Is there sufficient evidence to indicate that the model provides information for the prediction of the number of annual highway deaths? Test using .
c Give the p-value for the test of part

(b) and interpret it.
d Does the second-order term contribute information for the prediction of y ? Test by using .
e Give the p-value for the test of part

(d) and interpret it.

image text in transcribed