A. must also be equal to 1
B. can be either -1 or +1
C. can be any value between -1 to +1
D. must be -1
✅ The correct answer is option B.
Statistics MCQs
In regression, the equation that describes how the response variable (y) is related to the explanatory variable (x) is___________
A. the correlation model
B. the regression model
C. used to compute the correlation coefficient
D. None of these alternatives is correct.
✅ The correct answer is option B.
If two variables, x and y, have a very strong linear relationship, then ____________
A. there is evidence that x causes a change in y
B. there is evidence that y causes a change in x
C. there might not be any causal relationship between x and y
D. None of these alternatives is correct.
✅ The correct answer is option C.
If there is a very strong correlation between two variables then the correlation coefficient must be _______
A. any value larger than 1
B. much smaller than 0, if the correlation is negative
C. much larger than 0, regardless of whether the correlation is negative or positive
D. None of these alternatives is correct.
✅ The correct answer is option B.
If the coefficient of determination is a positive value, then the regression equation__________
A. must have a positive slope
B. must have a negative slope
C. could have either a positive or a negative slope
D. must have a positive y intercept
✅ The correct answer is option C.
The correlation coefficient is used to determine________
A. A specific value of the y-variable given a specific value of the x-variable
B. A specific value of the x-variable given a specific value of the y-variable
C. The strength of the relationship between the x and y variables
D. None of these
✅ The correct answer is option C.
In a regression and correlation analysis if r 2 = 1, then ___________
A. SSE = SST
B. SSE = 1
C. SSR = SSE
D. SSR = SST
✅ The correct answer is option D.
The number of accidents in a city during 2010 is___________
A. Discrete variable
B. Continuous variable
C. Qualitative variable
D. Constant
✅ The correct answer is option B.
In a regression analysis if SSE = 200 and SSR = 300, then the coefficient of determination is ___________
A. 0.6667
B. 0.6000
C. 0.4000
D. 1.5000
✅ The correct answer is option B.
Suppose that you have carried out a regression analysis where the total variance in the response is 133452 and the correlation coefficient was 0.85. The residual sums of squares is____________
A. 37032.92
B. 20017.8
C. 113434.2
D. 96419.07
✅ The correct answer is option A.