Using the output from the regression lab exercise with the skin cancer dataset answer the following questions:

• For any hypothesis tests, clearly state in words or in symbols what you are testing, provide the p-value, and state your conclusion in context.
• For any confidence intervals, provide the confidence interval along with an interpretation in context.
• For any new output not from the lab, provide both the code and requested output.

1. Write out the estimated regression equation.
2. Are any of the predictors, latitude or longitude, useful in predicting skin cancer mortality rates?
3. Does the effect of latitude on skin cancer mortality rates depend on the longitude?
4. Comment on the L, N, and E assumptions for this regression model.
5. Write out the new fitted regression equation without the interaction term.
6. Is the relationship of skin cancer mortality with latitude and longitude stronger or weaker without the interaction term? Explain.
7. What is the effect of latitude on the skin cancer mortality rate?