Question
Consider the data. x i 1 2 3 4 5 y i 2 8 6 10 14 (a)Compute the mean square error using equation s
Consider the data.
xi | 1 | 2 | 3 | 4 | 5 |
---|---|---|---|---|---|
yi | 2 | 8 | 6 | 10 | 14 |
(a)Compute the mean square error using equation
s2= MSE =
SSE |
n2 |
.
(Round your answer to two decimal places.) (b)Compute the standard error of the estimate using equation
s=
MSE |
=
|
.
(Round your answer to three decimal places.) (c)Compute the estimated standard deviation of
b1
using equation
sb1=
s | ||
|
.
(Round your answer to three decimal places.) (d)Use thettest to test the following hypotheses (= 0.05):
H0: | 1 | = | 0 |
Ha: | 1 | 0 |
Find the value of the test statistic. (Round your answer to three decimal places.) Find thep-value. (Round your answer to four decimal places.)p-value = State your conclusion.
RejectH0. We cannot conclude that the relationship betweenxandyis significant.RejectH0. We conclude that the relationship betweenxandyis significant. Do not rejectH0. We conclude that the relationship betweenxandyis significant.Do not rejectH0. We cannot conclude that the relationship betweenxandyis significant.
(e)Use theFtest to test the hypotheses in part (d) at a 0.05 level of significance. Present the results in the analysis of variance table format.Set up the ANOVA table. (Round your values for MSE andFto two decimal places, and yourp-valueto three decimal places.)
Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value |
---|---|---|---|---|---|
Regression | |||||
Error | |||||
Total |
Find the value of the test statistic. (Round your answer to two decimal places.) Find thep-value. (Round your answer to three decimal places.)p-value = State your conclusion.
Do not rejectH0. We conclude that the relationship betweenxandyis significant.Do not rejectH0. We cannot conclude that the relationship betweenxandyis significant. RejectH0. We conclude that the relationship betweenxandyis significant.RejectH0. We cannot conclude that the relationship betweenxandyis significant.
Question: help me fill out the NOVA table
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