Correlation and Regression Quiz | Correlation and Regression Short Questions and Answers

41 If the sum of the product of the deviation of X and Y from their means is zero, the correlation coefficient between X and Y is:
[A] Zero
[B] Maximum
[C] Minimum
[D] Undecided
Answer: Zero
42 If is zero, the correlation is:
[A] Weak negative
[B] High positive
[C] High negative
[D] None of the preceding
Answer: None of the preceding

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43 If a statistics professor tells his class: "All those who got 100 on the statistics test got 20 on the mathematics test, and all those that got 100 on the mathematics test got 20 on the statistics test", he is saying that the correlation between the statistics test and the mathematics test is:
[A] Negative
[B] Positive
[C] Zero
[D] Difficult to tell
Answer: Negative
44 If the figure +1 signifies perfect positive correlation and the figure -1 signifies a perfect negative correlation, then the figure 0 signifies:
[A] A perfect correlation
[B] Uncorrelated variables
[C] Not significant
[D] Weak correlation
Answer: Uncorrelated variables
45 If Y = -10X and X = -0.1Y, then r is equal to:
[A] 0.1
[B] 1
[C] -1
[D] 10
Answer: -1
46 If = 6 – X, then r will be:
[A] 0
[B] 1
[C] -1
[D] Both (b) and (c)
Answer: -1
47 In the regression equation Y = a + bX, where a and b are called:
[A] Constants
[B] Estimates
[C] Parameters
[D] Both (a) and (b)
Answer: Both (a) and (b)
48 In correlation problem both variables are:
[A] Equal
[B] Unknown
[C] Fixed
[D] Random
Answer: Random
49 The measure of change in dependent variable corresponding to an unit change in independent variable is called:
[A] Slope
[B] Regression coefficient
[C] Both (a) and (b)
[D] Neither (a) and (b)
Answer: Both (a) and (b)
50 When the two regression lines are parallel to each other, then their slopes are:
[A] Zero
[B] Different
[C] Same
[D] Positive
Answer: Same
51 The term regression was used by:
[A] Newton
[B] Pearson
[C] Spearman
[D] Galton
Answer: Galton
52 Positive regression coefficient indicates that the movement of the variables are in:
[A] Same direction
[B] Opposite direction
[C] Upward direction
[D] Downward direction
Answer: Same direction
53 Negative regression coefficient indicates that the movement of the variables are in:
[A] Same direction
[B] Opposite direction
[C] Difficult to tell
[D] None of these
Answer: Opposite direction
54 In simple linear regression model Y = α + βX + ε where α and β are called:
[A] Estimates
[B] Parameters
[C] Random errors
[D] Variables
Answer: Parameters
55 The arithmetic mean of the two regression coefficients is greater than or equal to:
[A] -1
[B] +1
[C] 0
[D] r
Answer: r
56 The signs of regression coefficients and correlation coefficient are always:
[A] Different
[B] Same
[C] Positive
[D] Negative
Answer: Same
57 If X is measured in yours and Y is measured in minutes, then correlation coefficient has the unit:
[A] Hours
[B] Minutes
[C] Both (a) and (b)
[D] No unit
Answer: No unit
58 The value of the coefficient of correlation r lies between:
[A] 0 and 1
[B] -1 and 0
[C] -1 and +1
[D] -0.5 and +0.5
Answer: -1 and +1
59 If both the series move in the same direction and the variations are in a fixed proportion, correlation between them is said to be:
[A] Perfect correlation
[B] Linear correlation
[C] Nonlinear correlation
[D] Perfect positive correlation
Answer: Perfect positive correlation
60 If the two series move in reverse directions and the variations in their values are always proportionate, it is said to be:
[A] Negative correlation
[B] Positive correlation
[C] Perfect negative correlation
[D] Perfect positive correlation
Answer: Perfect negative correlation

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