We obtained the following regression results (standard errors of OLS estimates in parenthesis): Y = 9.19 + 3.66 X + 1.32 T + 2.51 V (9.32) (6.7) (2.766) (1.362) from a data set where the sample size is n = 356. Calculate the p-value for the following hypothesis test: H 0 : β X = 0 H 1 : β X ≠ 0
Added by Andrew H.
Step 1
First, we need to calculate the t-statistic for the hypothesis test. The t-statistic is calculated as: t-statistic = (estimated coefficient - hypothesized value) / standard error In this case, the estimated coefficient for X is 3.66, the hypothesized value is 0, Show more…
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Given the following quantities for a simple linear regression model results from a sample of size n=8 observations: Σx = 47.7, Σy = 324, Σx² = 304.59, Σy² = 14706, and Σxy = 1766.8 a) Use the above information to calculate SSxy, SSyy, and SSxx. b) Use the quantities in a) above to calculate β̂₁ c) Calculate SSE and use it to calculate the estimated standard error of β̂₁, s_β̂₁. d) Test H₀: β₁ = 0 against Hₐ: β₁ ≠ 0 at α = 0.05 level of significance.
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