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1) Often times, residual plots as well as other plots of the data will suggest s

ID: 3218630 • Letter: 1

Question

1) Often times, residual plots as well as other plots of the data will suggest some difficulties or abnormalities in the data. Which of the following statements are not considered difficulties?

a. A nonlinear relationship between X and Y is appropriate.

b. The variance of the error term (and of Y) is constant.

c. The error term does not have a normal distribution.

d. The selected model fits the data well except for very few discrepant or outlying data values, which may have greatly influenced the choice of the regression line.

2) The Analysis of Variance (ANOVA) table in linear regression can be used to compute:

a. R-Squared

b. Adjusted R-Squared

c. The Overall F statistic

d. R-Squared, Adjusted R-Squared, and the Overall F statistic

3) Diagnostics for assessing the Goodness-of-Fit for a linear regression model include:

a. Plotting Y-hat versus Y.

b. Plotting a Quantile-Quantile plot of the residuals.

c. Plotting Y against each continuous predictor variable.

d. Plots of Y-hat versus Y, a Quantile-Quantile plot of the residuals, and Y against each continuous predictor variable.

4) Models need to be validated:

a. In-sample

b. Out-of-sample

c. Both in-sample and out-of-sample

a. R-Squared

b. Adjusted R-Squared

Explanation / Answer

These are the right answers, with reasoning and extra info to each parts:

1.b

This is not a difficulty, others are

2.c

Overall F stat is the output of ANOVA. not R2 or R or Adj. R2 etc.

3.d

All are diagnostics of assessing GOF in LR equations

4.c

Both within and outside sample are needed. We do outside validation as we want to see if there' trianing bias in our model