Shrimp from 1982 to 1990, There Was a Decrease in the Number

Essay

Shrimp From 1982 to 1990, there was a decrease in the number of white shrimp harvested
from the Galveston Bay. Here is the regression analysis and a residual plot. The year has
been shortened to two digits (82, 83…) and the dependent variable is the number of shrimp
collected per hour. Dependent Variable: Shrimp/hour
$$\begin{array} { l } \text { R-sq } = 0.9496342 \\\mathrm {~s} : 6.0232354\end{array}$$
$\begin{array} { l r r } \text { Parameter } & \text { Estimate } & \text { Std. Err. } \\ \text { constant } & 816.71111 & 66.903419 \\ \text { year } & - 8.9333333 & 0.77759635 \end{array}$


a. Write the regression equation and define your variables.
b. Find the correlation coefficient and interpret it in context.
c. Interpret the value of the slope in context.
d. In 1991, the shrimp production rebounded (in part due to the effects of El Nino) to 81
shrimp/hour. Find the value of this residual.
e. The prediction for 1991 was very inaccurate. What name do statisticians give to this kind
of prediction error?