Chapter 9.3, Problem 9P

(a)

To determine

Verify the values of ${\displaystyle \sum x}$, ${\displaystyle \sum x^2}$, ${\displaystyle \sum y}$, ${\displaystyle \sum y^2}$, ${\displaystyle \sum xy}$ and r.

(b)

To determine

Check whether the claim $\rho <0$ is significant or not.

(c)

To determine

Verify the values of $S_e$, a, b, and $\overline{x}$.

(d)

To determine

Find the predicted optimal time in hours for a dive depth of $x=18$ meters.

(e)

To determine

Find the 80% confidence interval for y when $x=18$ meters.

(f)

To determine

Check whether the claim $\beta <0$ is significant or not.

(g)

To determine

Find a 90% confidence interval for $\beta$.

Interpret the confidence interval.