# Regression Analysis

A) What is the least square of y on x and interpret the slope of the fitted regression

b) Find and interpret the coefficient of determination for the fitted regression

c) What is the 95% confidence interval for the slope of the population line.

d) Find the point forcast of the rate of return on the stock of Ill. Power next month,if the rate of return on the market index is expected to be 0.04

e) Test at the 1% level against a two - sided alternative the null hypothesis that the intercept of the population regression line is zero and interpret your findings.

Data:

Y X

1 -0.0763 0.08

2 0.0595 0.0751

3 -0.0026 0.0588

4 -0.0997 -0.1042

5 -0.0615 0.0194

6 -0.0503 -0.0593

7 0.0746 0.1513

8 0.0498 0.0365

9 0.0428 0.0211

10 -0.0157 -0.0276

11 0.0522 0.1099

12 0.0615 0.0415

13 0.0493 0.0368

14 0.0149 -0.074

15 0.044 0.1118

16 0.034 -0.1207

17 -0.0364 -0.0458

18 0.0042 0.0103

19 -0.0406 -0.0678

20 0.0419 0.0146

21 -0.0057 0.0466

22 0.0396 -0.0685

23 0.0002 -0.0147

Please see attached data

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#### Solution Summary

The regression analysis for intercepts are provided. The least square intercepts of the fitted regressions are discussed.