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Consider the values for the dependent and independent variables shown to the right. a. Develop a scatter plot of the data. Does the plot suggest a linear or nonlinear relationship between the dependent and independent variables? b. Develop an estimated linear regression equation for the data. Is the relationship significant? Test at an α = 0.05 level. c. Develop a regression equation of the form y = b + b₁x + b₂x². Does this equation provide a better fit to the data than that found in part b? X y 5 10 15 13 40 25 50 44 60 78 80 113

Consider the values for the dependent and independent variables shown to the right. a. Develop a scatter plot of the data. Does the plot suggest a linear or nonlinear relationship between the dependent and independent variables? b. Develop an estimated linear regression equation for the data. Is the relationship significant? Test at an α = 0.05 level. c. Develop a regression equation of the form y = b + b₁x + b₂x². Does this equation provide a better fit to the data than that found in part b? X y 5 10 15 13 40 25 50 44 60 78 80 113

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Be sure to include T statistic (t) and (F)

**Consider the values for the dependent and independent variables shown:** | x | y | |---|---| | 5 | 10 | | 15 | 13 | | 40 | 25 | | 50 | 44 | | 60 | 78 | | 80 | 113 | a. **Develop a scatter plot of the data.** Does the plot suggest a linear or nonlinear relationship between the dependent and independent variables? b. **Develop an estimated linear regression equation for the data.** Is the relationship significant? Test at an α = 0.05 level. c. **Develop a regression equation of the form** \( \hat{y} = b_0 + b_1x + b_2x^2 \). Does this equation provide a better fit to the data than that found in part b?
Transcribed Image Text:**Consider the values for the dependent and independent variables shown:** | x | y | |---|---| | 5 | 10 | | 15 | 13 | | 40 | 25 | | 50 | 44 | | 60 | 78 | | 80 | 113 | a. **Develop a scatter plot of the data.** Does the plot suggest a linear or nonlinear relationship between the dependent and independent variables? b. **Develop an estimated linear regression equation for the data.** Is the relationship significant? Test at an α = 0.05 level. c. **Develop a regression equation of the form** \( \hat{y} = b_0 + b_1x + b_2x^2 \). Does this equation provide a better fit to the data than that found in part b?
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