X ● Dependent Variable: y (Intercept) 1 Figure 6: The regression outputs dx Model 1: y = a + Bx₂ + e₁ ● Signif. codes: 0 0.001 0.01 Residual standard error: 0.07632 on 298 degrees of freedom Multiple R-squared: 0.05761, Adjusted R-squared: F-statistic: 18.22 on 1 and 298 DF, p-value: 2.65e-05 0.05445 Estimate Std. Error t value Er(>1t|) 4.23886 -0.15714 0.09726 43.581 <2e-16 *** -4.268 2.65e-05 ** 0.03682 Model 2: Aye = a + BAx₂ + ei 0.05 ¹.0.1 1 Dependent Variable: dy Estimate Std. Error t value Pr (>|t|| (Intercept) -0.0006393 0.0012531 -0.510 0.0825935 0.0612668 1.348 0.610 0.179 Residual standard error: 0.02166 on 297 degrees of freedom Multiple R-squared: 0.006082, Adjusted R-squared: F-statistic: 1.817 on 1 and 297 DF, p-value: 0.1787 0.002735 (a) Write the sample regression function(i.e., predicted y and predicted Ay) for both Model 1 and Model 2.

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Figure 6: The regression outputs
Dependent Variable: y
(Intercept)
|
Model 1: y = a + Bx₂ + e₁
dx
Estimate Std. Error t value Er(> [t|)
4.23886
-0.15714
Signif. codes: 0 0.001 0.01 0.05 . 0.1¹ 1
Residual standard error: 0.07632 on 298 degrees of freedom
Multiple R-squared: 0.05761, Adjusted R-squared:
F-statistic: 18.22 on 1 and 298 DF, p-value: 2.65e-05
0.09726 43.581 <2e-16 ***
0.03682 -4.268 2.65e-05
● Model 2: Ay+ = a + BAx₂ + ei
Dependent Variable: dy
Estimate Std. Error t value Pr(> |t|]
(Intercept) -0.0006393 0.0012531 -0.510
0.610
0.0825935 0.0612668 1.348
0.179
0.05445
Residual standard error: 0.02166 on 297 degrees of freedom
Multiple R-squared: 0.006082, Adjusted R-squared: 0.002735
F-statistic: 1.817 on 1 and 297 DF, P-value: 0.1787
(a) Write the sample regression function(i.e., predicted y and predicted Ay) for both
Model 1 and Model 2.
Transcribed Image Text:Figure 6: The regression outputs Dependent Variable: y (Intercept) | Model 1: y = a + Bx₂ + e₁ dx Estimate Std. Error t value Er(> [t|) 4.23886 -0.15714 Signif. codes: 0 0.001 0.01 0.05 . 0.1¹ 1 Residual standard error: 0.07632 on 298 degrees of freedom Multiple R-squared: 0.05761, Adjusted R-squared: F-statistic: 18.22 on 1 and 298 DF, p-value: 2.65e-05 0.09726 43.581 <2e-16 *** 0.03682 -4.268 2.65e-05 ● Model 2: Ay+ = a + BAx₂ + ei Dependent Variable: dy Estimate Std. Error t value Pr(> |t|] (Intercept) -0.0006393 0.0012531 -0.510 0.610 0.0825935 0.0612668 1.348 0.179 0.05445 Residual standard error: 0.02166 on 297 degrees of freedom Multiple R-squared: 0.006082, Adjusted R-squared: 0.002735 F-statistic: 1.817 on 1 and 297 DF, P-value: 0.1787 (a) Write the sample regression function(i.e., predicted y and predicted Ay) for both Model 1 and Model 2.
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