c) Estimation output is presented in Figure 4 below. Interpret the marginal effect of variable "Food".

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(c) Estimation output is presented in Figure 4 below. Interpret the marginal effect of
variable "Food".
Figure 4: Estimation output
Call:
1m(formula = `Case-Shiller Housing Price Index`~ Food, data = x)
Residuals:
Min
1Q Median
3Q Max
-29.238 -9.943 -2.793 12.282 28.424
Coefficients:
Estimate Std. Error t value
(Intercept) -150.08593001 6.35598100 -23.61 <0.0000000000000002 ***
Food
0.00174447 0.00003906 44.66 <0.0000000000000002 ***
Signif. codes: 0*** 0.001*** 0.01 * 0.05 '.' 0.1'' 1
Residual standard error: 13.98 on 308 degrees of freedom
Multiple R-squared: 0.8662, Adjusted R-squared: 0.8658
F-statistic: 1994 on 1 and 308 DF, p-value: < 0.00000000000000022
Pr(>ltl)
Transcribed Image Text:(c) Estimation output is presented in Figure 4 below. Interpret the marginal effect of variable "Food". Figure 4: Estimation output Call: 1m(formula = `Case-Shiller Housing Price Index`~ Food, data = x) Residuals: Min 1Q Median 3Q Max -29.238 -9.943 -2.793 12.282 28.424 Coefficients: Estimate Std. Error t value (Intercept) -150.08593001 6.35598100 -23.61 <0.0000000000000002 *** Food 0.00174447 0.00003906 44.66 <0.0000000000000002 *** Signif. codes: 0*** 0.001*** 0.01 * 0.05 '.' 0.1'' 1 Residual standard error: 13.98 on 308 degrees of freedom Multiple R-squared: 0.8662, Adjusted R-squared: 0.8658 F-statistic: 1994 on 1 and 308 DF, p-value: < 0.00000000000000022 Pr(>ltl)
Expert Solution
Step 1

The marginal effect gives us an effect on the probability. In the probability scale, all effects are non-linear because conditional on covariate values, the probability must be bounded between 0 and 1.

Here we are interested to know the effect of Food on the Case- Shiller Housing Price Index.

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