Consider the following data for two variables, x and y.X22 24 26 3035 40y13 20 34 35 40 36(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.)ŷ =(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?O Yes, the relationship is significant.O No, the relationship is not significant.(c) Develop a scatter diagram for the data.yyy4545 T40 ●40353530302525202015151010505020253035●4045X8202530354045X454035302520151050O20●●2530354045Xy45403530252015105020•●25·3035●40X45 Does the scatter diagram suggest an estimated regression equation of the form ý = b + b₁x + b₂x²? Explain.O No, the scatter diagram suggests that a linear relationship may be appropriate.O No, the scatter diagram suggests that a curvilinear relationship may be appropriate.O Yes, the scatter diagram suggests that a curvilinear relationship may be appropriate.O Yes, the scatter diagram suggests that a linear relationship may be appropriate.(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.)(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?O Yes, the relationship is significant.O 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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Consider the following data for two variables, x and y. x 22 24 26 30 35 40 y 13 20 34 35 40 36 (a) Develop an estimated regression equation for the data of the form = b + b.x. (Round bo to one decimal place and b, to three decimal places.) ŷ= (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. O No, the relationship is not significant. (c) Develop a scatter diagram for the data. y y 45 45 40 40 35 . 35- 30 30- 25 25 20 20 15 15 10 10 35 O 5+ 0 20 . 25 30 40 45 X DO 5- 0 of 20 . 25 30 35 . 40 45 X 45 40 35 30 25 20 15- 10 @O 5- 0 20 . . 25 30 35 40 X 45 y 45 T 40 35 30 25 20+ 15 10- 5- of 20 . . 25 30 35 40 45 x Ⓡ

Consider the following data for two variables, x and y. x 22 24 26 30 35 40 y 13 20 34 35 40 36 (a) Develop an estimated regression equation for the data of the form = b + b.x. (Round bo to one decimal place and b, to three decimal places.) ŷ= (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. O No, the relationship is not significant. (c) Develop a scatter diagram for the data. y y 45 45 40 40 35 . 35- 30 30- 25 25 20 20 15 15 10 10 35 O 5+ 0 20 . 25 30 40 45 X DO 5- 0 of 20 . 25 30 35 . 40 45 X 45 40 35 30 25 20 15- 10 @O 5- 0 20 . . 25 30 35 40 X 45 y 45 T 40 35 30 25 20+ 15 10- 5- of 20 . . 25 30 35 40 45 x Ⓡ

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 1TU: The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t=...

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