A statistical program is recommended.
Consider the following data for two variables, x andy.
| x | 22 | 24 | 26 | 30 | 35 | 40 |
|---|
| y | 12 | 20 | 32 | 36 | 39 | 36 |
|---|
(a). Develop an estimated regression equation for the data ofthe form
Å· = b0 + b1x.
(b). Use the results from part (a) to test for a significantrelationship between x and y. Use α = 0.05.
Find the value of the test statistic.
Find the p-value.
Is the relationship between x and ysignificant?
(c) Develop a scatter diagram for the data.
Does the scatter diagram suggest an estimated regressionequation of the form Å· = b0 + b1x +b2x2? Explain.
(d). Develop an estimated regression equation for the data ofthe form Å· = b0 + b1x +b2x2.
(e) Use the results from part (d) to test for a significantrelationship between x, x2, and y. Use α =0.05. Is the relationship between x, x2, and ysignificant?
Find the value of the test statistic.
Find the p-value.
(f). Use the model from part (d) to predict the value ofy when x = 25.
