# Question: Confidence intervals for the y intercept 0 and slope 1 for

Confidence intervals for the y-intercept β0 and slope β1 for a regression line (y = β0 + β1x) can be found by evaluating the limits in the intervals below.

b0 E < β0< b0 + E where

Where b1 - E < β1< b1 + E

The y-intercept b0 and the slope b1 are found from the sample data and tα/2 is found from Table A-3 by using n — 2 degrees of freedom. Using the 40 pairs of shoe print lengths (x) and heights (y) from Data Set 2 in Appendix B, find the 95% confidence interval estimates of A) and (3X.

b0 E < β0< b0 + E where

Where b1 - E < β1< b1 + E

The y-intercept b0 and the slope b1 are found from the sample data and tα/2 is found from Table A-3 by using n — 2 degrees of freedom. Using the 40 pairs of shoe print lengths (x) and heights (y) from Data Set 2 in Appendix B, find the 95% confidence interval estimates of A) and (3X.

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