For this assignment you will be using the given data for a sample of 30 inmates of the Polk County Jail.
1. Use a Simple Linear Regression to find the regression equation that predicts weight (lbs) from height (inches). Note, “weight” will be the dependent variable (y) and “height” will be the independent variable (x). Round slope and intercept to the nearest hundredth. (2 pts)
2. Perform a t-Test for the regression slope of the data to determine if the data fits a linear model using alpha = 0.05. Include each of the following.
a. Check the conditions and assumptions for this test. Explain your reasoning.(2 pts)
b. Write your null and alternative hypotheses.(2 pts)
c. List the test statistic and P-value. (2 pts)
d. Decide whether to reject or fail to reject the null and state your conclusion. (2 pts)
3. Find a 95% confidence interval for the mean weight of an inmate who is 6 feet tall (72 inches). Explain in this context what the confidence interval tells us. (2 pts)
4. Consider a person who is 65 inches tall and weighs 200 lbs.
a. Use your regression equation from Question 1 to find the residual. (Show your work.). Would you consider this person to have a large residual? (2 pts)
b. Does this person have high leverage? Why or why not? (2 pts)
c. Is this an influential point? Why or why not? (2 pts)
5. If we were to add another quantitative variable to help you predict weight, what variable would you suggest? Explain your reasoning for your choice. (2 pts)