You notice that the coefficient for temperature is different in the model which has mood as a predictor (m2) compared to the model which doesn't (m1). Why is this?单项选择题
A
Adding a new predictor increases complexity, which means the coefficients for all of the variables incur a penalty.
B
The new predictor must have a non-linear relationship with either the old predictor or the outcome, thus making the estimate of the coefficient inaccurate.
C
The new predictor must be capturing some of the variance in the outcome that previously was captured by the old predictor.
D
The two predictors are completely uncorrelated with each other, so the model randomly assigns a coefficient to each
E
This should never happen and indicates that something is wrong with the code.
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类似问题
Finally, Gladly and Super Size run a model called m3 which has two predictor variables (temperature and mood) and the outcome variable meatballs as well as an interaction. The output is shown below. Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) 128.04578 2.43944 52.490 <2e-16 *** temperature 7.07231 0.16109 43.903 <2e-16 *** mood 14.62052 1.62318 9.007 <2e-16 *** temperature:mood 1.36555 0.09708 14.066 <2e-16 *** --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 19.76 on 361 degrees of freedom Multiple R-squared: 0.9416, Adjusted R-squared: 0.9411 F-statistic: 1941 on 3 and 361 DF, p-value: < 2.2e-16 How would you interpret this model?
Gladly wants to find out whether temperature or mood (or both) predicts how many meatballs are sold, and whether there is an interaction. He therefore decides to do a regression. Why is a regression the best analysis for this out of all of the tests we have learned this semester?
In the regression model: ln ( 𝑤 𝑎 𝑔 𝑒 ) = 𝛽 0 + 𝛽 1 𝑒 𝑑 𝑢 𝑐 + 𝛽 2 𝑒 𝑥 𝑝 𝑒 𝑟 + 𝑢 , ln ( 𝑤 𝑎 𝑔 𝑒 ) is called the ... (Check all you mark as correct.)
In Model 2, which coefficient is (are) statistically significant? Check all you mark as correct.
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