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Consider the following data for two variables, x and y. x 22 24 26 30 35 40 y 13 20 33 34 40 35 (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.) ŷ -5.5+ 1.175x (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 = 6.49 Find the p-value. (Round your answer to three decimal places.) p-value = 0.063 Is the relationship between x and y significant? O Yes, the relationship is significant. No, the relationship is not significant.

Consider the following data for two variables, x and y. x 22 24 26 30 35 40 y 13 20 33 34 40 35 (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.) ŷ -5.5+ 1.175x (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 = 6.49 Find the p-value. (Round your answer to three decimal places.) p-value = 0.063 Is the relationship between x and y significant? O Yes, the relationship is significant. No, the relationship is not significant.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 5EA
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(d) Develop an estimated regression equation for the data of the form ý = ŷ= 162 +11.8x - 0.171x X (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 = bo + b₁x + b₂x². (Round b to one decimal place and b₁ to two decimal places and b₂ to four decimal places.) 0 1 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.) 128.725 X
Transcribed Image Text:(d) Develop an estimated regression equation for the data of the form ý = ŷ= 162 +11.8x - 0.171x X (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 = bo + b₁x + b₂x². (Round b to one decimal place and b₁ to two decimal places and b₂ to four decimal places.) 0 1 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.) 128.725 X
Consider the following data for two variables, x and y. X 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 ŷ = bỏ + b₁x. (Round bo to one decimal place and b₁ to three decimal places.) ŷ -5.5+ 1.175x (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 = 6.49 Find the p-value. (Round your answer to three decimal places.) p-value = 0.063 Is the relationship between x and y significant? Yes, the relationship is significant. No, the relationship is not significant.
Transcribed Image Text:Consider the following data for two variables, x and y. X 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 ŷ = bỏ + b₁x. (Round bo to one decimal place and b₁ to three decimal places.) ŷ -5.5+ 1.175x (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 = 6.49 Find the p-value. (Round your answer to three decimal places.) p-value = 0.063 Is the relationship between x and y significant? Yes, the relationship is significant. No, the relationship is not significant.
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