Top 150+ Solved Statistics MCQ Questions Answer
Q. 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.
Q. In regression, the equation that describes how the response variable (y) is related to the explanatoryvariable (x) is___________
a. the correlation model
b. the regression model
c. used to compute the correlation coefficient
d. None of these alternatives is correct.
Q. The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study: != -0.0127 + 0.0180x The above equation implies that__________
a. each beer consumed increases blood alcohol by 1.27%
b. on average it takes 1.8 beers to increase blood alcohol content by 1%
c. each beer consumed increases blood alcohol by an average of amount of 1.8%
d. each beer consumed increases blood alcohol by exactly 0.018
Q. SSE can never be _____________
a. larger than SST
b. smaller than SST
c. equal to 1
d. equal to zero
Q. Regression modeling is a statistical framework for developing a mathematical equation that describes how __________
a. one explanatory and one or more response variables are related
b. several explanatory and several response variables response are related
c. one response and one or more explanatory variables are related
d. All of these are correct.
Q. In regression analysis, the variable that is being predicted is the __________
a. response, or dependent, variable
b. independent variable
c. intervening variable
d. is usually x
Q. Regression analysis was applied to return rates of sparrowhawk colonies. Regression analysis was used to study the relationship between return rate (x: % of birds that return to the colony in a given year) and immigration rate (y: % of new adults that join the colony per year). The following regression equation was obtained) ! = 31.9 – 0.34x Based on the above estimated regression equation, if the return rate were to decrease by 10% the rate of immigration to the colony would________________
a. increase by 34%
b. increase by 3.4%
c. decrease by 0.34%
d. decrease by 3.4%
Q. Larger values of r 2 (R2 ) imply that the observations are more closely grouped about the __________
a. average value of the independent variables
b. average value of the dependent variable
c. least squares line
d. origin
Q. In a regression analysis if r 2 = 1, then ___________
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
Q. 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
Q. In regression analysis, the variable that is used to explain the change in the outcome of an experiment, orsome 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
Q. 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.
Q. A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation: ! = 50,000 - 8X The above equation implies that an ________
a. increase of $1 in price is associated with a decrease of $8 in sales
b. increase of $8 in price is associated with an increase of $8,000 in sales
c. increase of $1 in price is associated with a decrease of $42,000 in sales
d. increase of $1 in price is associated with a decrease of $8000 in sales
Q. In a regression and correlation analysis if r 2 = 1, then ___________
a. SSE = SST
b. SSE = 1
c. SSR = SSE
d. SSR = SST
Q. 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