Question 8 3.5 / 3.5 pts h. Use the F test to determine the overall significance of the relationship among the variables. What is your conclusion at the 0.05 level of significance? F = 10.5; critical value is 6.54; The overall model is significant. F = 10.5; p-value is less than 0.01; The overall model is not significant. F = 10.5; p-value is less than 0.01; The overall model is significant. F = 11.5; p-value is less than 0.01: The overall model is significant.
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The F-test is used to determine the overall significance of a regression model. - If the calculated F-statistic is greater than the critical F-value, or if the p-value is less than the significance level ($\alpha$), then the model is considered statistically Show more…
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h. Use the F test to determine the overall significance of the relationship among the variables. What is your conclusion at the 0.05 level of significance? F = 10.5; p-value is less than 0.01; The overall model is significant. F = 11.5; p-value is less than 0.01; The overall model is significant. F = 10.5; p-value is less than 0.01; The overall model is not significant. F = 10.5; critical value is 6.54; The overall model is significant.
Madhur L.
In a regression analysis involving 27 observations, the following estimated regression equation was developed: ŷ = 25.2 + 5.5x1 For this estimated regression equation SST = 1,550 and SSE = 520. a. At α = 0.05, test whether x1 is significant. F = 49.52; p-value is less than 0.01; x1 is not significant. F = 49.52; critical value is 4.24; x1 is significant. F = 46.27; p-value is less than 0.01; x1 is significant. F = 51.32; critical value is 4.24; x1 is significant. b. Suppose that variables x2 and x3 are added to the model and the following regression equation is obtained. ŷ = 16.3 + 2.3x1 + 12.1x2 - 5.8x3 For this estimated regression equation SST = 1,550 and SSE = 100. Use an F test and a 0.05 level of significance to determine whether x2 and x3 contribute significantly to the model. F = 48.3; p-value is less than 0.01; x2 and x3 contribute significantly to the model. F = 111.17; p-value is less than 0.01; x2 and x3 contribute significantly to the model. F = 48.3; critical value is 3.42; x2 and x3 don't contribute significantly to the model. F = 48.3; critical value is 4.28; x2 and x3 contribute significantly to the model.
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