Question 6 The variable yearly income is examined in a regression setting where the predictor variable is lag (1) of income and the following output is produced. us_change %>8 model (TSLM (log (Income) log (LagIncome))) %>% report() #> Series: Consumption #> Model: TSLM #> #> Residuals: #> Min 10 Median 30 #> -2.5824 -0.2778 0.0186 0.3233 <# #> #> Coefficients: Max 1.4223 Estimate Std. Error t value Pr (>|t|) 0.0540 10.08 < 2e-16 *** 0.0467 0.582 0.242 #> (Intercept) 0.5445 #> Log (LagIncome) 0.1000 #> --- #> Signif. codes: 0 ***** 0.001*** 0.01 * 0.05. 0.1 #> #> Residual standard error: 0.591 on 196 degrees of freedom #> Multiple R-squared: 0.0847, Adjusted R-squared: 0.0843 1 a) Write down the regression equation. b) Interpret the meaning of the slope. c) Explain whether this model is appropriate to use for forecasting based on this output.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter4: Graphing And Inverse Functions
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Question 6
The variable yearly income is examined in a regression setting where the predictor variable
is lag (1) of income and the following output is produced.
us_change %>%
model (TSLM (log (Income) ~ log (LagIncome))) %>%
report ()
#> Series: Consumption
#> Model: TSLM
#>
#> Residuals:
Min
10 Median
30
#> -2.5824 -0.2778 0.0186 0.3233
#>
#> Coefficients:
Max
1.4223
#>
#> (Intercept) 0.5445
#> Log (LagIncome) 0.1000
#>
Estimate Std. Error t value Pr (>|t|)
0.0540 10.08 < 2e-16 ***
0.0467 0.582 0.242
#> Signif. codes: 0 ***** 0.001 **** 0.01 * 0.05. 0.1
#>
#> Residual standard error: 0.591 on 196 degrees of freedom
#> Multiple R-squared: 0.0847, Adjusted R-squared: 0.0843
1
a) Write down the regression equation.
b) Interpret the meaning of the slope.
c) Explain whether this model is appropriate to use for forecasting based on this output.
d) A dummy variable for gender (male=0, female=1) was added to the model. Interpret
its coefficient of 0.1..
Transcribed Image Text:Question 6 The variable yearly income is examined in a regression setting where the predictor variable is lag (1) of income and the following output is produced. us_change %>% model (TSLM (log (Income) ~ log (LagIncome))) %>% report () #> Series: Consumption #> Model: TSLM #> #> Residuals: Min 10 Median 30 #> -2.5824 -0.2778 0.0186 0.3233 #> #> Coefficients: Max 1.4223 #> #> (Intercept) 0.5445 #> Log (LagIncome) 0.1000 #> Estimate Std. Error t value Pr (>|t|) 0.0540 10.08 < 2e-16 *** 0.0467 0.582 0.242 #> Signif. codes: 0 ***** 0.001 **** 0.01 * 0.05. 0.1 #> #> Residual standard error: 0.591 on 196 degrees of freedom #> Multiple R-squared: 0.0847, Adjusted R-squared: 0.0843 1 a) Write down the regression equation. b) Interpret the meaning of the slope. c) Explain whether this model is appropriate to use for forecasting based on this output. d) A dummy variable for gender (male=0, female=1) was added to the model. Interpret its coefficient of 0.1..
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