Question: Please answer each of the following questions to the best of your ability. There are five questions.  Please be sure to answer all of the questions and to show all steps in the hypothesis test and as much work as possible for any computations. You may use your book, notes, spreadsheets, word processors, calculators, and the internet.  Please submit your answers in a word processor document, spreadsheet, or combination of the two.

Dorothy Kelly sells life insurance for the Prudence Insurance Company.  She sells insurance by making visits to her clients' homes.  Dorothy believes that the number of sales should depend to some degree on the number of visits made.  For the past several years she kept careful records of the number of visits ( x ) made each week and the number of people ( y ) who bought insurance that week.  For a random sample of 15 such weeks the x and y values follow:

1. Find the correlation coefficient, r .
2. Find the equation of the regression line for the data.
3. Use the regression equation to predict the number of people who would buy insurance during a week in which Dorothy makes 18 visits.
4. Find a 90% confidence interval for the number of sales Dorothy would make in a week in which she makes 18 visits.
5. Test the claim that the population correlation coefficient is positive (use a level of significance of 0.01).

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Solution: The downloadable solution consists of 4 pages
Deliverable: Word Document