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

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Be sure to include T statistic (t) and (F)

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=bo + b₁x + b₂x². Does this equation provide a better fit
to the data than that found in part b?
ya
5
10
15
13
40 25
50 44
X
60 78
80 113
Transcribed Image Text: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=bo + b₁x + b₂x². Does this equation provide a better fit to the data than that found in part b? ya 5 10 15 13 40 25 50 44 X 60 78 80 113
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