Question

In: Statistics and Probability

Suppose that a​ researcher, using data on class size ​(CS​) and average test scores from 100...

Suppose that a​ researcher, using data on class size ​(CS​) and average test scores from 100 ​third-grade classes, estimates the OLS regression.

TestScore = 515.1960 + (-5.7618) x CS, R^2 = 0.11, SER = 11.4

(20.1960) (2.3426)

1. The p-value for the two-sided test for the null hypothesis H0 : B1 = 0 is ? (Round to four decimal places)

2. The p-value for the two-sided test of the null hypothesis H0 : B1 = -5.5 ? (Round to four decimal places)

3. The 99% confidence interval for B0 is (___,___)? (Round to one decimal place)

Solutions

Expert Solution

Suppose that a​ researcher, using data on class size ​(CS​) and average test scores from 100 ​third-grade classes, estimates the OLS regression.

TestScore = 515.1960 + (-5.7618) x CS, R^2 = 0.11, SER = 11.4

(20.1960) (2.3426)

1. The p-value for the two-sided test for the null hypothesis H0 : B1 = 0 is ?

Answer : 0.0157

2. The p-value for the two-sided test of the null hypothesis H0 : B1 = -5.5 ?

Answer : 0.9118

3. The 99% confidence interval for B0 is (___,___)? (Round to one decimal place

Answer : lower bound = 462.1

and upper bound = 568.2


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