archived_user
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- Jun 18, 2026
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Alpha 0.0031 ( coefficients) ; 0.0070 ( standard of error) ; 0.4429 (t statistic)
Beta 0.9068 ( coefficients) ; 0.1170 ( standard of error) ; 7.7504 ( t statistic)
1 . Test the null hypothesis, H0, that β for RBC equals 1 (β = 1) against the
alternative hypothesis that β does not equal 1 (β ≠ 1) using the confidence
interval approach.
Solution to 1:
The estimated β from the regression is 0.9068. The estimated standard error for that coefficient in the regression, s
β is 0.1170. The regression equation has 58 degrees of freedom (60 − 2), so the critical value for the test statistic is approximately tc = 2.00 at the 0.05 significance level. Therefore, the 95 percent confidence interval for the data for any hypothesized value of β is shown by the range.
0.9068 ± 2.00(0.1170)
I got the above, but I didn’t understand how they got 2 if they weren’t given the confidence level
Beta 0.9068 ( coefficients) ; 0.1170 ( standard of error) ; 7.7504 ( t statistic)
1 . Test the null hypothesis, H0, that β for RBC equals 1 (β = 1) against the
alternative hypothesis that β does not equal 1 (β ≠ 1) using the confidence
interval approach.
Solution to 1:
The estimated β from the regression is 0.9068. The estimated standard error for that coefficient in the regression, s
β is 0.1170. The regression equation has 58 degrees of freedom (60 − 2), so the critical value for the test statistic is approximately tc = 2.00 at the 0.05 significance level. Therefore, the 95 percent confidence interval for the data for any hypothesized value of β is shown by the range.
0.9068 ± 2.00(0.1170)
I got the above, but I didn’t understand how they got 2 if they weren’t given the confidence level
