32 11 17 y 167 37 132 127 69 53 In this setting we have Ex = 74, Ey = 585, Ex? = 1520, Ey? = 70,381, and Exy = 9793. (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x and y to two decimal places. Round your least-squares estimates to four decimal places.) b=

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section11.4: Two-ways Tables
Problem 12E
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32
11
17
7
6.
y
167
37
132
127
69
53
In this setting we have Ex = 74, Ey = 585, Ex? = 1520, Ey? = 70,381, and Exy = 9793.
(a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x two decimal places. Round your least-squares estimates to four decimal
and y to
places.)
y =
Transcribed Image Text:32 11 17 7 6. y 167 37 132 127 69 53 In this setting we have Ex = 74, Ey = 585, Ex? = 1520, Ey? = 70,381, and Exy = 9793. (a) Find x, y, b, and the equation of the least-squares line. (Round your answers for x two decimal places. Round your least-squares estimates to four decimal and y to places.) y =
(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 and your P-value
to four decimal places.)
P-value -
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 Fall 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 = 10% 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 S.. (Round your answer to three decimal places.)
S.-
(9) Find a 99% confidence interval for the change in crime rate when the percentage change in population is x = 10%. (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 B of the population least-squares line is not zero at the 1% level of significance. (Round your test statistic to three decimal places and your
P-value to four decimal places.)
P-value =
Conclusion
O Reject the null hypothesis, there is sufficient evidence that 8 differs from 0.
O Reject the null hypothesis, there is insufficient evidence that 8 differs from 0.
O Fall to reject the null hypothesis, there is sufficient evidence that p differs from 0.
O Fall to reject the null hypothesis, there is insufficient evidence that 8 differs from 0.
(1) Find a 99% confidence interval for ß and interpret its meaning. (Round your answers to three decimal places.)
lower limit
upper limit
Interpretation
O For every percentage point decrease in population, the crime rate per 1,000 increases by an amount that falls within the confidence interval.
Transcribed Image Text:(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 and your P-value to four decimal places.) P-value - 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 Fall 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 = 10% 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 S.. (Round your answer to three decimal places.) S.- (9) Find a 99% confidence interval for the change in crime rate when the percentage change in population is x = 10%. (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 B of the population least-squares line is not zero at the 1% level of significance. (Round your test statistic to three decimal places and your P-value to four decimal places.) P-value = Conclusion O Reject the null hypothesis, there is sufficient evidence that 8 differs from 0. O Reject the null hypothesis, there is insufficient evidence that 8 differs from 0. O Fall to reject the null hypothesis, there is sufficient evidence that p differs from 0. O Fall to reject the null hypothesis, there is insufficient evidence that 8 differs from 0. (1) Find a 99% confidence interval for ß and interpret its meaning. (Round your answers to three decimal places.) lower limit upper limit Interpretation O For every percentage point decrease in population, the crime rate per 1,000 increases by an amount that falls within the confidence interval.
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