A. SSE must also be equal to one
B. SSE must be equal to zero
C. SSE can be any positive value
D. SSE must be negative
✅ The correct answer is option B.
The coefficient of correlation____________
A. is the square of the coefficient of determination
B. is the square root of the coefficient of determination
C. is the same as r-square
D. can never be negative
✅ The correct answer is option B.
In regression analysis, the variable that is used to explain the change in the outcome of an experiment, or some natural process, is called ________
A. the x-variable
B. the independent variable
C. the predictor variable
D. all of the above (a-c) are correct
✅ The correct answer is option D.
In the case of an algebraic model for a straight line, if a value for the x variable is specified, then________
A. the exact value of the response variable can be computed
B. the computed response to the independent value will always give a minimal residual
C. the computed value of y will always be the best estimate of the mean response
D. none of these alternatives is correct.
✅ The correct answer is option A.
A regression analysis between sales (in 00) and price (in dollars) resulted in the following equation: ! = 50,000 – 8X The above equation implies that an ________
A. increase of in price is associated with a decrease of in sales
B. increase of in price is associated with an increase of ,000 in sales
C. increase of in price is associated with a decrease of ,000 in sales
D. increase of in price is associated with a decrease of 00 in sales
✅ The correct answer is option D.
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.
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.
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 the coefficient of determination is equal to 1, then the correlation coefficient _______
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.
In regression analysis, if the independent variable is measured in kilograms, the dependent variable ______
A. must also be in kilograms
B. must be in some unit of weight
C. cannot be in kilograms
D. can be any units
✅ The correct answer is option D.