The quadratic regression equation shown below is for a sample of n=21. Complete

Question

The quadratic regression equation shown below is for a sample of n=21. Complete parts a through d.

Yi = 7 + 6x1i + 4.5 a. Predict Y for X1 3. Type an integer or a decimal.) b. Suppose that the computed tSTAT test statistic for the quadratic regression coefficient is 2.91. At the 0.10 level of significance, is there evidence that the quadratic model is better than the linear model? Choose the correct null and alternative hypotheses below. 0 A. O B. Ho: Including the quadratic effect significantly improves the model (2 HI : Including the quadratic effect does not significantly improve the model ( 2-0). Ho : There is an overall relationship between X and Y (10 or 2 H1 : There is no overall relationship between X and Y (1- 2-0). Ho: There is no overall relationship between X and Y (1 = 2-0). HI : There is an overall relationship between X and Y (10 or 2 #0). HO: Including the quadratic effect does not significantly improve the model (2 =0). HI : Including the quadratic effect significantly improves the model (20). 0). 0). C. D.

Explanation / Answer

We are allowed to do 4 subparts question at a time. Post again for more subparts of question.

a) y = 7 + 6 * 3 + 4.5 * 9

y = 65.5

b) 1) D option

2) A option

Values are +1.729 and - 1.729

3) Reject Ho

Significant. D option

c) C option

d) if equation is:

y = 7 - 6x + 4.5x^2

x = 3

y = 7 - 6 * 3 + 4.5 * 9

y = 29.5

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