Question

PCBs and Pelicans. The data from Exercise 14.40 for shell thickness and concentration of PCBs of 60 Anacapa pelican eggs are on the WeissStats site. Do the data provide sufficient evidence to conclude that concentration of PCBs and shell thickness are linearly correlated for Anacapa pelican eggs?

Short answer

Hence, the correlation $t$-test procedure is not reasonable to apply for the given data.

Step-by-step solution

Step 1:Given information

The data from Exercise 14.40 for shell thickness and concentration of PCBs of 60 Anacapa pelican eggs are on the WeissStats site.

Step 2:Explaination

Check whether reasonably to apply the correlation $t$-test procedure to data by using Exercise 14.40.

- From the residual plot, it is clear that the residuals are fall in the horizontal band.

- From the normal probability plot of residuals, it is clear that the residuals are appears in the linear pattern.

Hence, the assumption 1-3 for the regression inferences is not violated for the variables thickness and PCB.

From Exercise 14.76, the data does not provide sufficient evidence to conclude that PCB is useful for predicting THICKNESS. Hence, it is not possible to use linear model to predict the variables.

Hence, the correlation $t$-test procedure is not reasonable to apply for the given data.