Assuming that the estimator has a normal distribution, the 95% confidence interval for the slope is approximately the interval:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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You have collected data for the 50 U.S. states and estimated the following relationship between the change in the unemployment rate from the previous year (Aur) and the growth rate of the respective state real
GDP (gy). The results are as follows:
Aur 2.81-0.23xgy, R² = 0.36, SER= 0.78
(0.12) (0.04)
Assuming that the estimator has a normal distribution, the 95% confidence interval for the slope is approximately the interval:
O A. [2.57, 3.05].
O B. [-0.31, 0.15].
OC. [-0.31, -0.15].
O D. [-0.33, -0.13].
Transcribed Image Text:You have collected data for the 50 U.S. states and estimated the following relationship between the change in the unemployment rate from the previous year (Aur) and the growth rate of the respective state real GDP (gy). The results are as follows: Aur 2.81-0.23xgy, R² = 0.36, SER= 0.78 (0.12) (0.04) Assuming that the estimator has a normal distribution, the 95% confidence interval for the slope is approximately the interval: O A. [2.57, 3.05]. O B. [-0.31, 0.15]. OC. [-0.31, -0.15]. O D. [-0.33, -0.13].
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