Construct the 95% confidence interval for B and M, of the regression line y= Mx

Question

Construct the 95% confidence interval for B and M, of the regression line y= Mx + B, for the population using the following inequalities and data Full data set 18 175 1718 2.4 225 2.1 2272.1 2.6 243 2.221 Construct the 95% confidence interval for the population y-intercept, B (Round the final answer to three decimal places as needed. Round all intermediate values to three decimal places as needed.) Construct the 95% confidence interval for the population slope, M (Round the final answer to three decimal places as needed. Round all intermediate values to three decimal places as needed.)

Explanation / Answer

Thus, we can see that the 95% confidence interval for intercept is 46.62 to 161.20

and

95% confidence interval for slope is 22.53 to 78.68

SUMMARY OUTPUT Regression Statistics Multiple R 0.874253066 R Square 0.764318424 Adjusted R Square 0.725038161 Standard Error 13.18073184 Observations 8 ANOVA df SS MS F Significance F Regression 1 3380.484848 3380.484848 19.45807821 0.004513854 Residual 6 1042.390152 173.7316919 Total 7 4422.875 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 103.9128788 23.41316155 4.438224994 0.004384188 46.62293631 161.2028213 x 50.60606061 11.47235452 4.411131171 0.004513854 22.53422038 78.67790083

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