Q2. Suppose we are given a dataset have n = 1000 observations and each observation contains 3 explanatory variables. We

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Q2 Suppose We Are Given A Dataset Have N 1000 Observations And Each Observation Contains 3 Explanatory Variables We 1 (40.49 KiB) Viewed 19 times

Q2. Suppose we are given a dataset have n = 1000 observations and each observation contains 3 explanatory variables. We fit the regression model y=a + Bum +3222 +3313 The regression results are summarized in the following: Coefficients: Estimate Std. Error t-value Pr(>1t1) (Intercept) 2.17461 0.14387 15.116 <20-16 *** x1 -0.11396 0.06794 (a) (b) 3.08222 0.07330 42.049 <2e-16 *** x3 0.87357 0.07349 11.887 <2e-16 m. x2 Signif. codes: 0***' 0.001 0.01 '*' 0.05.' 0.11 (a) Residual standard error: 2.253 on 996 degrees of freedom Multiple R-squared: 0.6578, Adjusted R-squared: 0.6567 Analysis of Variance Table Response: y Df Sum-Sq Mean-Sq F-value Pr(>F) Regression (c) 9717.2 3239.1 (e) < 2.2e-16 *** Residuals 5055.5 5.1 1. Write down the fitted regression model. 2. compute values in the blank (a), (b)? (Write down the detail) 3. Is B, significant in the model ? Please explain. 4. Interpret B2. 5. Find the values in blanks (c), (d). 6. Find the value of (e).