RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

REGRESSION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Which is TRUE?I. Random scatter in the residuals indicates a linear model.II. If two variables are very strongly associated, then the correlation between them will be near 1 or-1.III. Changing the units of measurement for x or y changes the correlation coefficient.
A
I only
B
II only
C
I and II only
D
I, II and III
Explanation: 

Detailed explanation-1: -Correlation coefficients whose magnitude are between 0.9 and 1.0 indicate variables which can be considered very highly correlated. Correlation coefficients whose magnitude are between 0.7 and 0.9 indicate variables which can be considered highly correlated.

Detailed explanation-2: -Random scatter in the residuals indicates a model with high predictive power. +1.0 or-1.0. III. The higher the correlation between two variables the more likely the association is based in cause and effect.

Detailed explanation-3: -When the linear correlation coefficient is 1, there is a perfect positive linear relation between the two variables. The scatter diagram would contain points that all lie on a line with a positive slope.

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