Correlation and Regression 3

This Section contains Multiple Choice Questions (MCQs) about Correlation Analysis, Simple Regression Analysis, Multiple Regression Analysis, Coefficient of Determination (Explained Variation), Unexplained Variation, Model Selection Criteria, Model Assumptions, Interpretation of results, Intercept, Slope, Partial Correlation, Significance tests, OLS Assumptions etc

Question 1: In Regression Analysis $\sum\hat{Y}$ is equal to

A) 0
B) $\sum{Y}$
C) a
D) bX
E) None

Question 2: In Least Square Regression Line, $\sum(Y-\hat{Y})^2$ is always

A) Negative
B) Zero
C) Non-Negative
D) Fractional
E) None

Question 3: Which one is equal to explained variation divided by total variation?

A) Sum of squares due to regression
B) Coefficient of Determination
C) Standard Error of Estimate
D) Coefficient of Correlation

Question 4: The best fitting trend is one for which the sum of squares of error is

A) Zero
B) Minimum (Least)
C) Maximum
D) None

Question 5: If a straight line is fitted to data, then

A) $\sum Y=\sum \hat{Y}$
B) $\sum Y > \sum \hat{Y}$
C) $\sum Y < \sum \hat{Y}$
D) $\sum(Y-\hat{Y})^2=0$

Question 6: In Regression Analysis two regression lines intersect at the point

A) (0, 0)
B) ($\alpha$, $\alpha$)
C) (X, Y)
D) ($\overline{X}$,$\overline{Y}$)
E) None

Question 7: In a Least Square Regression line the quantity $\sum(Y-\hat{Y})$ is always

A) Negative
B) Zero
C) Positive
D) Fractional
E) None

Question 8: If all the values fall on the same straight line and the line has a positive slope then what will be the value of the Correlation coefficient ‘r’:

A) $0 \le r \le 1$
B) $r \ge 0$
C) $r = +1$
D) $r = -1$
E) 0

Question 9: For a Least Square trend $\hat{Y}=\alpha+\beta X$

A) $\sum Y=\sum \hat{Y}$
B) $\sum \hat{Y}=0$
C) $\sum Y < \sum \hat{Y}$
D) $\sum Y >\sum \hat{Y}$
E) None

Question 10: Regression Line always passes through

A) ($X$, $Y$)
B) ($\alpha$,$\beta$)
C) ($\overline{X}$,$\overline{Y}$)
D) ($\overline{X}$,$Y$)
E) None

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