4. Figure 1 shows time series plots of two time series processes (Y) and {X} for T = 500, and Figure 2 provides the resu

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4 Figure 1 Shows Time Series Plots Of Two Time Series Processes Y And X For T 500 And Figure 2 Provides The Resu 1 (108.34 KiB) Viewed 19 times

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4. Figure 1 shows time series plots of two time series processes (Y) and {X} for T = 500, and Figure 2 provides the result of regression of Y on X. (a) Based on Figures 1 and 2, do you think we can conclude that X has a positive effect on Y? (b) If you answered the above question with "No", how would you estimate the partial effect of X on Y? If you answered the above question with "Yes", then explain how X affects Y. Figure 1: Time series plots претерторантитеррорикуриравнициитроциты 300 500 Time series plot of {Y} Figure 2: Regression of Y on X Call: 1m (formula = y - x, data = data) Residuals: Min 1Q Median 3Q Max -28.556 -7.977 0.076 7.219 32.912 Coefficients: (Intercept) -0.271679 Estimate Std. Error t value Pr(>It|) 0.483293 -0.562 0.616751 0.004173 147.783 X 0.574 <2e-16 *** Signif. codes: 0***** 0.001 **** 0.01 0.05 0.11 Residual standard error: 10.81 on 498 degrees of freedom Multiple R-squared: 0.9777, Adjusted R-squared: 0.9777 F-statistic: 2.184e+04 on 1 and 498 DF, p-value: < 2.2e-16 po- -100 Varpais pyntypho Time series plot of {X₂} 500