The average daily cost of living in dollars (x) and the average wage in dollars (y) in 12 regions of a country are shown in the following table. x 82 85 85 80 90 106 64 90 69 90 75 111 y 133 149 132 158 159 199 137 159 150 159 158 175 Assume that the averages are jointly normally distributed. Use the z-values rounded to two decimal places to obtain the answers. (a) Find a regression line relating the wage to the cost of living. Round your answer to one decimal place (e.g. 98.7). Po = Round your answer to two decimal places (e.g. 98.76). B = i (b) Test for the significance of regression using a = 0.05. hypothesis that ß, = 0. (c) Estimate the correlation coefficient. Round your answer to three decimal places (e.g. 98.765). r = i
The average daily cost of living in dollars (x) and the average wage in dollars (y) in 12 regions of a country are shown in the following table. x 82 85 85 80 90 106 64 90 69 90 75 111 y 133 149 132 158 159 199 137 159 150 159 158 175 Assume that the averages are jointly normally distributed. Use the z-values rounded to two decimal places to obtain the answers. (a) Find a regression line relating the wage to the cost of living. Round your answer to one decimal place (e.g. 98.7). Po = Round your answer to two decimal places (e.g. 98.76). B = i (b) Test for the significance of regression using a = 0.05. hypothesis that ß, = 0. (c) Estimate the correlation coefficient. Round your answer to three decimal places (e.g. 98.765). r = i
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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Question
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![(d) Test the hypothesis that p = 0, using a = 0.1.
hypothesis that p = 0.
(e) Test the hypothesis that p = 0.6, using a = 0.01.
v hypothesis that p = 0.6.
(f) Construct a 99% confidence interval for the correlation coefficient.
Round your answers to three decimal places (e.g. 98.765).
i
<p<
i](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb85b058-a3d5-4395-b2a8-f63f9f2f4e6b%2Fbe79f9ea-29ec-4596-b109-7acd9692cfca%2Fh0or2pg_processed.png&w=3840&q=75)
Transcribed Image Text:(d) Test the hypothesis that p = 0, using a = 0.1.
hypothesis that p = 0.
(e) Test the hypothesis that p = 0.6, using a = 0.01.
v hypothesis that p = 0.6.
(f) Construct a 99% confidence interval for the correlation coefficient.
Round your answers to three decimal places (e.g. 98.765).
i
<p<
i
![The average daily cost of living in dollars (x) and the average wage in dollars (y) in 12 regions of a country are shown in the following
table.
82
85
85
80
90
106
64
90
69
90
75
111
y 133 149 132 158 159 199 137 159 150 159 158 175
Assume that the averages are jointly normally distributed. Use the z-values rounded to two decimal places to obtain the answers.
(a) Find a regression line relating the wage to the cost of living.
Round your answer to one decimal place (e.g. 98.7).
Bo
i
Round your answer to two decimal places (e.g. 98.76).
i
(b) Test for the significance of regression using a = 0.05.
v hypothesis that B, = 0.
(c) Estimate the correlation coefficient.
Round your answer to three decimal places (e.g. 98.765).
r =
i](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb85b058-a3d5-4395-b2a8-f63f9f2f4e6b%2Fbe79f9ea-29ec-4596-b109-7acd9692cfca%2Fly82ar_processed.png&w=3840&q=75)
Transcribed Image Text:The average daily cost of living in dollars (x) and the average wage in dollars (y) in 12 regions of a country are shown in the following
table.
82
85
85
80
90
106
64
90
69
90
75
111
y 133 149 132 158 159 199 137 159 150 159 158 175
Assume that the averages are jointly normally distributed. Use the z-values rounded to two decimal places to obtain the answers.
(a) Find a regression line relating the wage to the cost of living.
Round your answer to one decimal place (e.g. 98.7).
Bo
i
Round your answer to two decimal places (e.g. 98.76).
i
(b) Test for the significance of regression using a = 0.05.
v hypothesis that B, = 0.
(c) Estimate the correlation coefficient.
Round your answer to three decimal places (e.g. 98.765).
r =
i
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