Academic Directors workshop
- Use this output in R to optimize your prompt:
I want to interpret the results of my regression. How should I interpret them?
Call:
lm(formula = GNP ~ Year + Employed, data = longley)
Residuals:
Min 1Q Median 3Q Max
-11.346 -2.471 -1.215 2.301 8.951
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) -255071.398 840615.109 -3.034 0.01475 *
Year 130.059 86.203 1.508 0.16477
Employed 11.264 2.074 5.430 0.00015 ***
Signif. codes: 0 ‘’ 0.001 ‘’ 0.01 ‘’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 6.361 on 13 degrees of freedom
Multiple R-squared: 0.9962, Adjusted R-squared: 0.9956
F-statistic: 1692 on 2 and 13 DF, p-value: <2.2e-16
2. Use this R output for the interpretation of a regression:
Call:
lm(formula = Petal.Length ~ Species, data = iris_sub)
Residuals:
Min 1Q Median 3Q Max
-1.24412 -0.30168 0.00811 0.25588 1.40811
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 1.43103 0.08161 17.54 <2e-16 ***
Speciesversicolor 2.81308 0.11108 25.32 <2e-16 ***
Speciesvirginica 4.06086 0.10899 37.26 <2e-16 ***
Signif. codes: 0 ‘’ 0.001 ‘’ 0.01 ‘’ 0.05 ‘.’ 0.1 ‘ ’ 1
Residual standard error: 0.4395 on 97 degrees of freedom
Multiple R-squared: 0.9361, Adjusted R-squared: 0.9348
F-statistic: 710.8 on 2 and 97 DF, p-value: <2.2e-16
Give me the interpretations of these regression results