Use the regression output below to answer the question. Suppose b 2 LOWER is the

Question

Use the regression output below to answer the question.

Suppose b2 LOWER is the lower bound of the 99% confidence interval for the slope coefficient. Which of the following is definitely true?

b2 LOWER <3509.979

Not enough information

b2 LOWER >-0.1836126

b2 LOWER <-0.1836126

. regress sleep totwrk 706 8.09 0.0000 0.1033 0.1020 421.14 Source I df Number of obs- F (1, 704) MS Model | i4381717 . 2 Residual | 1248589 1 14381717.2Prob> F 704 177355.282 R-squared Adj R-squared- Total | 1392 398 36 705 197503.313 Root MSE sleep | Coef. Std. Err. [95% Conf. Interval] totwrk I 9.00 0.000 cons 3586.37738.91243 92.17 0.000 i507458 0167403 .1836126 3509.979 117879 3662.775

Explanation / Answer

Answer:  b2 LOWER <3509.979

Because the lower limit of 95% CI for slope is 3509.979

And as the Confidence Interval increases, the width of interval also increases.

There for 99% confidence interval for the slope coefficient, the lower bound for slope must be less than 3509.979

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