r and the coefficient of determination. (Round your answers to three decimal places.) r = r2 = What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place
Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a random variable representing crime rate (crimes per 1000 population). A random sample of six Denver neighborhoods gave the following information.
| x | 31 | 1 | 11 | 17 | 7 | 6 |
| y | 176 | 37 | 132 | 127 | 69 | 53 |
In this setting we have Σx = 73, Σy = 594, Σx2 = 1457, Σy2 = 73,468, and Σxy = 9905.
(c) Find the sample
| r = | |
| r2 = |
What percentage of variation in y is explained by the least-squares model? (Round your answer to one decimal place.)
%
(d) Test the claim that the population correlation coefficient ? is not zero at the 1% level of significance. (Round your test statistic to three decimal places.)
(e) For a neighborhood with x = 21% change in population in the past few years, predict the change in the crime rate (per 1000 residents). (Round your answer to one decimal place.)
crimes per 1000 residents
(f) Find Se. (Round your answer to three decimal places.)
Se =
(g) Find an 80% confidence interval for the change in crime rate when the percentage change in population is x = 21%. (Round your answers to one decimal place.)
| lower limit | crimes per 1000 residents |
| upper limit | crimes per 1000 residents |
(h) Test the claim that the slope ? of the population least-squares line is not zero at the 1% level of significance. (Round your test statistic to three decimal places.)
| lower limit | |
| upper limit |
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f) Find Se. (Round your answer to three decimal places.)
Se =
(g) Find an 80% confidence interval for the change in crime rate when the percentage change in population is x = 21%. (Round your answers to one decimal place.)
| lower limit | crimes per 1000 residents |
| upper limit | crimes per 1000 residents |
(h) Test the claim that the slope ? of the population least-squares line is not zero at the 1% level of significance. (Round your test statistic to three decimal places.)
you please answer these parts also? And use another question?
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