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irinina [24]
3 years ago
7

You have collected data for the 50 U.S. states and estimated the following relationship between the change in the unemployment r

ate from the previous year and the growth rate of the respective state real GDP ​(​). The results are as​ follows: ​
Δur= (0.12) -(0.04)x gy, R2= 0.36, SER= 0.78

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

a. [-0.31, 0.15]
b. [2.57, 3.05 ]
c. [-0.33, - 0.13]
d. [-0.13, -0.15]
Business
1 answer:
sleet_krkn [62]3 years ago
4 0

Answer:

[ -0.13, -0.15 ]  ( D )

Explanation:

Given data :

sample size ( n ) = 50

Independent variable ( p ) = 1

<u>determine the confidence interval for the slope </u>

Df ( degree of freedom ) = n - p - 1 = ( 50 - 1 - 1 ) = 48

b ( estimated slope ) = -0.23

Standard error of slope = 0.04

confidence interval = 95%

For confidence interval of 95% and Df of 48 ; critical value ( t ) = 2.011

∴ Confidence interval

= -0.23  ±  ( 2.011 * 0.04)

= -0.23 ± 0.08044

=  [ -0.13, -0.15 ]

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