1. Consider the following data for two variables, x and y.x 22 24 26 30 35 40y 12 21 33 35 40 36a. Develop an estimated regression equation for the data of the form yˆ = b0 + b1x.b. Use the results from part (a) to test for a significant relationship between x and y.Use a = .05.c. Develop a scatter diagram for the data. Does the scatter diagram suggest an estimatedregression equation of the form yˆ = b0 + b1x + b2x2? Explain.d. Develop an estimated regression equation for the data of the form yˆ = b0 + b1x +b2x2.e. Refer to part (d). Is the relationship between x, x2, and y significant? Use a = .05.f. Predict the value of y when x = 25.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
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1. Consider the following data for two variables, x and y.
x 22 24 26 30 35 40
y 12 21 33 35 40 36
a. Develop an estimated regression equation for the data of the form yˆ = b0 + b1x.
b. Use the results from part (a) to test for a significant relationship between x and y.
Use a = .05.
c. Develop a scatter diagram for the data. Does the scatter diagram suggest an estimated
regression equation of the form yˆ = b0 + b1x + b2x2
? Explain.
d. Develop an estimated regression equation for the data of the form yˆ = b0 + b1x +
b2x2
.
e. Refer to part (d). Is the relationship between x, x2
, and y significant? Use a = .05.
f. Predict the value of y when x = 25.

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