The following data set contains the number of seats and the

The following data set contains the number of seats and the average flight length for 17 aircraft. This data appeared in Contemporary PreCalculus with Applications, by the North Carolina School of Science and Mathematics, published in 2000 by Everyday Learning Corporation, Chicago IL.

Using your graphing calculator construct a least squares regression line for these data.

Is the linear model appropriate for these data? Explain.

State your hypotheses for a two sided significance test of the slope of the regression line.

Use your graphing calculator to find the test statistic and p-value for this significance test.

Draw a conclusion based on t = 9.9067 and p= 0.0000000565 for the significance test Ho: ß1 = 0

Ha: ß1 ? 0 with a = 0.01

Calculate the standard error of the slope of the regression line.

Construct a 99% confidence interval for the slope of the regression line.

Interpret the confidence interval (5.32, 9.82) for the slope of the regression line.

Solution