'Given the following Y= 10 - 3 Xi 5 Xz - 2 X3 based on @ sample of 20 observations SSR = 360, SSE = 150. Perform an F test for overall significance (critical value at 95% confidence 3.24) Select one: Reject the null hypothesis and conclude the overall model is insignificant b. Reject the null hypothesis and conclude the overall model is significant Fail to reject the null hypothesis and conclude the model is insignificant d. Fail to reject the null hypothesis and conclude the overall model is significant Fing Next page NEXT Activity Midterm 1 tivity Jump to_'
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Alternative hypothesis: The overall model is significant, meaning that at least one coefficient is not equal to zero. Show more…
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Assume that we estimated the following model by OLS: y = β₁ + β₂x + u. The sample size of the data is n = 62. We calculated that the standard errors for β₁ and β₂ are se(β₁) = 1 and se(β₂) = 2. Also, the estimates for β₁ and β₂ are β₁ = 3 and β₂ = 5. We want to test: H₀: β₁ = 2 H₁: β₁ > 2 for α = 0.05 significance level. What is the outcome of the test? [We denote the estimates by bold font] a. The critical value is 1.671; t statistic is 1; we reject the null hypothesis. b. The critical value is 1.671; t statistic is 1; we fail to reject the null hypothesis. c. The critical value is 1.96; t statistic is 1; we reject the null hypothesis. d. The critical value is 1.96; t statistic is 1; we fail to reject the null hypothesis.
Sri K.
Assume that we estimated the following model by OLS: y =β₁ + β₂x + u. The sample size of the data is n=62. We calculated that the standard errors for β₁ and β₂ are se(β₁)=1 and se(β₂)=2. Also, the estimates for β₁ and β₂ are β₁=3 and β₂=5. We want to test: H₀ : β₁ =6 H₁ : β₁ <6. for α=0.01 significance level. What is the outcome of the test? [We denote the estimates by bold font] a. The critical value is 2.39; t statistic is -3; we fail to reject the null hypothesis. b. The critical value is -2.39; t statistic is -3; we fail to reject the null hypothesis. c. The critical value is -2.39; t statistic is -3; we reject the null hypothesis. d. The critical value is 2.39; t statistic is -3; we reject the null hypothesis.
You are testing the null hypothesis that there is no linear relationship between two variables, X and Y. From your sample of n = 20, you determine that SSR = 60 and SSE = 40. a. What is the value of FSTAT? b. At the α = 0.05 level of significance, what is the critical value? c. Based on your answers to (a) and (b), what statistical decision should you make? d. Compute the correlation coefficient by first computing r^2 and assuming that b1 is negative. e. At the 0.05 level of significance, is there a significant correlation between X and Y?
Lucas F.
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