Question: You may need to use the appropriate technology to answer this question.The following estimated regression equation based on 10 observations was presented. = 23.1470 +
You may need to use the appropriate technology to answer this question.The following estimated regression equation based on 10 observations was presented.
= 23.1470 + 0.5902x1 + 0.4960x2
Here, SST = 6,738.125, SSR = 6,217.375,
sb1 = 0.0817,
and
sb2 = 0.0563.
(a)Compute MSR and MSE. (Round your answers to three decimal places.)MSR=MSE=(b)Compute F and perform the appropriate F test. Use = 0.05.State the null and alternative hypotheses.
| H0: 1 = 2 = 0 |
| Ha: One or more of the parameters is not equal to zero. |
| H0: 1 0 and 2 0 |
| Ha: One or more of the parameters is equal to zero. |
| H0: 1 0 and 2 = 0 |
| Ha: 1 = 0 and 2 0 |
| H0: 1 < 2 |
| Ha: 1 2 |
| H0: 1 > 2 |
| Ha: 1 2 |
Find the value of the test statistic. (Round your answer to two decimal places.)
F =
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject H0. There is sufficient evidence to conclude that the overall model is significant.
Do not reject H0. There is sufficient evidence to conclude that the overall model is significant.
Reject H0. There is insufficient evidence to conclude that the overall model is significant.
Do not reject H0. There is insufficient evidence to conclude that the overall model is significant.
(c)Perform a t test for the significance of
1.
Use = 0.05.State the null and alternative hypotheses.
| H0: 1 < 0 |
| Ha: 1 0 |
| H0: 1 = 0 |
| Ha: 1 0 |
| H0: 1 = 0 |
| Ha: 1 > 0 |
| H0: 1 > 0 |
| Ha: 1 0 |
| H0: 1 0 |
| Ha: 1 = 0 |
Find the value of the test statistic. (Round your answer to two decimal places.)
t =
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject H0. There is insufficient evidence to conclude that 1 is significant.
Do not reject H0. There is insufficient evidence to conclude that 1 is significant.
Do not reject H0. There is sufficient evidence to conclude that 1 is significant.
Reject H0. There is sufficient evidence to conclude that 1 is significant.
(d)Perform a t test for the significance of
2.
Use = 0.05.State the null and alternative hypotheses.
| H0: 2 0 |
| Ha: 2 = 0 |
| H0: 2 > 0 |
| Ha: 2 0 |
| H0: 2 = 0 |
| Ha: 2 > 0 |
| H0: 2 = 0 |
| Ha: 2 0 |
| H0: 2 < 0 |
| Ha: 2 0 |
Find the value of the test statistic. (Round your answer to two decimal places.)
t =
Find the p-value. (Round your answer to three decimal places.)
p-value =
State your conclusion.
Reject H0. There is sufficient evidence to conclude that 2 is significant.
Reject H0. There is insufficient evidence to conclude that 2 is significant.
Do not reject H0. There is sufficient evidence to conclude that 2 is significant.
Do not reject H0. There is insufficient evidence to conclude that 2 is significant.
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