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X ŷ = y 22 24 26 30 35 40 13 20 33 34 40 35 (a) Develop an estimated regression equation for the data of the form ý = bo + b₁x. (Round bo to one decimal place and b₁ to three decimal places.) (b) Use the results from part (a) to test for a significant relationship between x and y. Use a = 0.05. Find the value of the test statistic. (Round your answer to two decimal places.) F= Find the p-value. (Round your answer to three decimal places.) p-value= Is the relationship between x and y significant? O Yes, the relationship is significant. No, the relationship is not significant.

X ŷ = y 22 24 26 30 35 40 13 20 33 34 40 35 (a) Develop an estimated regression equation for the data of the form ý = bo + b₁x. (Round bo to one decimal place and b₁ to three decimal places.) (b) Use the results from part (a) to test for a significant relationship between x and y. Use a = 0.05. Find the value of the test statistic. (Round your answer to two decimal places.) F= Find the p-value. (Round your answer to three decimal places.) p-value= Is the relationship between x and y significant? O Yes, the relationship is significant. No, the relationship is not significant.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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ŷ X = 22 24 26 30 35 40 13 (a) Develop an estimated regression equation for the data of the form ŷ = bo + b₁x. (Round bo to one decimal place and b₁ to three decimal places.) 20 = 33 34 40 35 (b) Use the results from part (a) to test for a significant relationship between x and y. Use α = 0.05. Find the value of the test statistic. (Round your answer to two decimal places.) F = Find the p-value. (Round your answer to three decimal places.) p-value Is the relationship between x and y significant? Yes, the relationship is significant. No, the relationship is not significant.
Transcribed Image Text:ŷ X = 22 24 26 30 35 40 13 (a) Develop an estimated regression equation for the data of the form ŷ = bo + b₁x. (Round bo to one decimal place and b₁ to three decimal places.) 20 = 33 34 40 35 (b) Use the results from part (a) to test for a significant relationship between x and y. Use α = 0.05. Find the value of the test statistic. (Round your answer to two decimal places.) F = Find the p-value. (Round your answer to three decimal places.) p-value Is the relationship between x and y significant? Yes, the relationship is significant. No, the relationship is not significant.
(d) Develop an estimated regression equation for the data of the form ý = b + b₁x + b₂x². (Round bo to one decimal place and b₁ to two decimal places and b₂ to four decimal places.) ŷ = (e) Use the results from part (d) to test for a significant relationship between x, x², and y. Use a = 0.05. Is the relationship between x, x², and y significant? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = Is the relationship between x, x², and y significant? Yes, the relationship is significant. No, the relationship is not significant. (f) Use the model from part (d) to predict the value of y when x = 25. (Round your answer to three decimal places.)
Transcribed Image Text:(d) Develop an estimated regression equation for the data of the form ý = b + b₁x + b₂x². (Round bo to one decimal place and b₁ to two decimal places and b₂ to four decimal places.) ŷ = (e) Use the results from part (d) to test for a significant relationship between x, x², and y. Use a = 0.05. Is the relationship between x, x², and y significant? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = Is the relationship between x, x², and y significant? Yes, the relationship is significant. No, the relationship is not significant. (f) Use the model from part (d) to predict the value of y when x = 25. (Round your answer to three decimal places.)
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