Regression - Random Short Multiple Choice Questions

Question 106(1 point)

The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using ordinary least squares regression. The following regression equation was obtained from this study:

y

i

=0.0127+0.018x

i

+u

i

{"version":"1.1","math":"${\hat{y}}_i=-0.0127+0.018x_i+u_i$"}

The equation implies that:

Question 106 options:

on average it takes 1.8 beers to increase blood alcohol content by 1%

each beer consumed increases blood alcohol by, on average, 1.8%

each beer consumedincreases blood alcohol by exactly 1.8%

each beer consumed increases blood alcohol by 1.27%

Question 107(1 point)

The explained sum of squares (ESS) can never be

Question 107 options:

larger than the total sum of squares (TSS)

equal to 0

equal to 1

smaller than the total sum of squares (TSS)

Question 108(1 point)

In regression analysis, the variable that is being predicted is the

Question 108 options:

intervening variable

response, or dependent, variable

independent variable

affected variable

Question 109(1 point)

In regression analysis, the variable that is being used to make predictions is the

Question 109 options:

response, or dependent, variable

affected variable

independent variable

intervening variable

Question 110(1 point)

Larger values of R-squared imply that the observations are more closely grouped around the

Question 110 options:

average value of the independent variables

average value of the dependent variable

least squares line

45-degree line

Question 111(1 point)

In a regression analysis, if R-squared= 1, then the explained sum of squares (ESS)

Question 111 options:

can be any positive value

must be negative

must be equal to zero

must also be equal to 1