Question
Following is information on the price per share and the dividend for a sample of 30 companies. Company Price per Share Dividend 1 20.01 3.14
Following is information on the price per share and the dividend for a sample of 30 companies.
Company | Price per Share | Dividend |
1 | 20.01 | 3.14 |
2 | 22.02 | 3.36 |
3 | 31.4 | 0.46 |
4 | 33.58 | 7.99 |
5 | 35.87 | 0.77 |
6 | 36.13 | 8.46 |
7 | 36.17 | 7.62 |
8 | 38 | 8.03 |
9 | 38.86 | 6.33 |
10 | 39.66 | 7.96 |
11 | 43.45 | 8.95 |
12 | 49.09 | 9.61 |
13 | 53.74 | 11.11 |
14 | 54.42 | 13.28 |
15 | 55.11 | 10.22 |
16 | 57.07 | 9.53 |
17 | 57.41 | 12.6 |
18 | 58.31 | 10.43 |
19 | 59.52 | 7.97 |
20 | 60.61 | 9.19 |
21 | 64.02 | 16.5 |
22 | 64.67 | 16.1 |
23 | 64.75 | 13.76 |
24 | 64.96 | 10.54 |
25 | 66.44 | 21.15 |
26 | 68.19 | 14.3 |
27 | 69.57 | 24.42 |
28 | 74.91 | 11.54 |
29 | 77.92 | 17.65 |
30 | 80.01 | 17.36 |
Required: a. Calculate the regression equation that predicts price per share based on the annual dividend. (Round your answers to 4 decimal places.)
Price = ___ + ___ dividend
b-1. State the null and alternate hypotheses.
b-2. State the decision rule. Use the 0.05 significance level. (Round your answer to 3 decimal places.) Reject H0 if t is not between +- ___
b-3. Compute the value of the test statistic. (Round your answer to 4 decimal places.) Test statistic is ____
b-4. What is your decision regarding H0? Do not Reject / Reject H0
b-5. Can we conclude the slope is not equal to zero?
Yes / No c. Determine the coefficient of determination. (Round your answer to 4 decimal places.) R2 = ___
d. Determine the correlation coefficient. (Round your answer to 4 decimal places.)
e. If the dividend is $10, what is the predicted price per share? (Round your answer to 4 decimal places.)
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