- Let X Be A Random Variable Representing Percentage Change In Neighborhood Population In The Past Few Years And Let Y Be 1 (65.87 KiB) Viewed 85 times
- Let X Be A Random Variable Representing Percentage Change In Neighborhood Population In The Past Few Years And Let Y Be 2 (82.88 KiB) Viewed 85 times
- Let X Be A Random Variable Representing Percentage Change In Neighborhood Population In The Past Few Years And Let Y Be 3 (143.73 KiB) Viewed 85 times
(b) Draw a scatter diagram displaying the data. Graph the least-squares line on your scatter diagram. Be sure to plot the point (7). y 150 150 100 100 50 50 . LUL X 5 10 15 20 25 X 35 30 5 10 15 20 25 30 35 у у 150 150 100 100 0 50 50 5 x 35 10 20 15 25 30 x 35 5 10 15 20 25 30
(c) Find the sample correlation coefficient r and the coefficient of determination. (Round your answers to three decimal places.) 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 p is not zero at the 1% level of significance. (Round your test statistic to three decimal places.) Find or estimate the P-value of the test statistic. O p-value > 0.250 0 0.125 < P-value < 0.250 0 0.100 < P-value < 0.125 O 0.075 < P-value < 0.100 0 0.050 <p-value < 0.075 0 0.025 < P-value < 0.050 O 0.010 < P value < 0.025 O 0.005 < P-value < 0.010 0 0.0005 < P-value < 0.005 OP-value < 0.0005 Conclusion O Reject the null hypothesis, there is sufficient evidence that p differs from 0. O Reject the null hypothesis, there is insufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is sufficient evidence that p differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that p differs from 0. (e) For a neighborhood with x -23% 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 (1) Find Se (Round your answer to three decimal places.) S. =
(9) Find an 80% confidence interval for the change in crime rate when the percentage change in population is x = 23%. (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.) t = Find or estimate the p-value of the test statistic. O p-value > 0.250 0 0.125 < P-value < 0.250 O 0.100 < P-value < 0.125 O 0.075 < P-value < 0.100 O 0.050 < P-value < 0.075 O 0.025 < P-value < 0.050 O 0.010 < P-value < 0.025 O 0.005 < P-value < 0.010 O 0.0005 < P-value < 0.005 O p-value < 0.0005 Conclusion O Reject the null hypothesis, there is sufficient evidence that differs from 0. O Reject the null hypothesis, there is insufficient evidence that B differs from O. O Fail to reject the null hypothesis, there is sufficient evidence that differs from 0. O Fail to reject the null hypothesis, there is insufficient evidence that differs from o. (1) Find an 80% confidence interval for B and Interpret its meaning. (Round your answers to three decimal places.) lower limit upper limit Interpretation For every percentage point decrease in population, the crime rate per 1,000 Increases by an amount that falls within the confidence Interval. O For every percentage point Increase in population, the crime rate per 1,000 Increases by an amount that falls within the confidence interval. For every percentage point decrease in population, the crime rate per 1,000 increases by an amount that falls outside the confidence interval. For every percentage point Increase in population, the crime rate per 1,000 Increases by an amount that falls outside the confidence Interval.