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Q1. Answer True\' or \'False\' for each of the following, (8x0.5=4pts) (a) Both

ID: 3361198 • Letter: Q

Question

Q1. Answer True' or 'False' for each of the following, (8x0.5=4pts) (a) Both covariance and correlation can measure if two variables vary together in a linear fashion, and they have the same sign. FALSE (b) Rank correlation should be preferred over Pearson correlation in the presence of outliers. TRUE (c) In simple linear regression, the greater the slope of the fitted line, the higher is the value of R2 TRUE (d) A weak correlation according to Cohen's table can still be significantly different from 0 (p 0.05) (e) Simple linear regression assumes both the variables X and Y must be normally distributed. (f) Fitting a cubic regression will always result in a higher (or equal) R2 compared to linear regression on the same data, therefore we should always prefer a cubic regression over linear regression. (g) A funnel shape in the residual plot indicates violation of the homoscedasticity assumption. (h) Prediction bands shrink when sample size increases, but confidence bands remain similar.

Explanation / Answer

Answers for the following questions:

a) false

b) True

c) True

d) TRUE

e) TRE

F) FALSE

g) True

h) FALSE