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) she 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. x 12 20 15 15 28 5 20 14 22 7 15 29 8 25 16 y 1 13 8 5 8 2 5 6 8 3 5 10 6 10 7 In this setting we have Σx = 251, Σy = 97, Σx2 = 4943, Σy2 = 771, and Σxy = 1857. In a week during which Dorothy makes 25 visits, how many people do you predict will buy insurance from her? (Round your answer to one decimal place.) people e. In a week during which Dorothy makes 25 visits, how many people do you predict will buy insurance from her? (Round your answer to one decimal place.) people (f) Find Se. (Round your answer to three decimal places.) Se = (g) Find a 95% confidence interval for the number of sales Dorothy would make in a week during which she made 25 visits. (Round your answers to one decimal place.) lower limit sales upper limit sales (h) Test the claim that the slope ? of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places.)
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) she 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.
| x | 12 | 20 | 15 | 15 | 28 | 5 | 20 | 14 | 22 | 7 | 15 | 29 | 8 | 25 | 16 |
| y | 1 | 13 | 8 | 5 | 8 | 2 | 5 | 6 | 8 | 3 | 5 | 10 | 6 | 10 | 7 |
In this setting we have Σx = 251, Σy = 97, Σx2 = 4943, Σy2 = 771, and Σxy = 1857. In a week during which Dorothy makes 25 visits, how many people do you predict will buy insurance from her? (Round your answer to one decimal place.)
people
e. In a week during which Dorothy makes 25 visits, how many people do you predict will buy insurance from her? (Round your answer to one decimal place.)
people
(f) Find Se. (Round your answer to three decimal places.)
Se =
(g) Find a 95% confidence interval for the number of sales Dorothy would make in a week during which she made 25 visits. (Round your answers to one decimal place.)
| lower limit | sales |
| upper limit | sales |
(h) Test the claim that the slope ? of the population least-squares line is positive at the 1% level of significance. (Round your test statistic to three decimal places.)
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