Exploring Data: Regression: Linear Regression
Questions with Accurate Answers 2025
In a cause and effect relationship, the ____ variable is the cause. - correct answers-independent
In a cause and effect relationship, the ____ variable is the effect. - correct answers-dependent
____ is a method for predicting the value of a dependent variable Y, based on the value of an
independent variable X. - correct answers-least squares linear regression
It is called ____ regression when there is only one independent variable. - correct answers-simple
It is called ____ regression when there are two or more independent variables. - correct answers-
multiple
Simple linear regression is appropriate when the dependent variable Y has a ____ relationship to the
independent variable X. - correct answers-linear
Simple linear regression is appropriate when for each value of X, the probability distribution of Y has the
same ____. When this condition is satisfied, the variability of the residuals will be relatively constant
across all values of X, which is easily checked in a residual plot. - correct answers-standard deviation = σ
Simple linear regression is appropriate when for any given value of x, the y values are ____ and roughly
____. - correct answers-independent; normally distributed
Linear regression finds the straight line, called the ____, that best represents observations in a ____
data set. - correct answers-least squares regression line; bivariate
Y = Β₀ + Β₁X is the equation for what? - correct answers-population regression line
What do each of the variables mean in the equation Y = Β₀ + Β₁X ?
Y = ____
B₀ = ____
B₁= ____
X = ____ - correct answers-dependent variable; constant; regression coefficient; independent variable
ŷ = b₀ + b₁x is the equation for what?
The ____ when given a ____ of observations. - correct answers-population regression line; sample
What do each of the variables mean in the equation ŷ = b₀ + b₁x ?
ŷ = ____
b₀ = ____
Questions with Accurate Answers 2025
In a cause and effect relationship, the ____ variable is the cause. - correct answers-independent
In a cause and effect relationship, the ____ variable is the effect. - correct answers-dependent
____ is a method for predicting the value of a dependent variable Y, based on the value of an
independent variable X. - correct answers-least squares linear regression
It is called ____ regression when there is only one independent variable. - correct answers-simple
It is called ____ regression when there are two or more independent variables. - correct answers-
multiple
Simple linear regression is appropriate when the dependent variable Y has a ____ relationship to the
independent variable X. - correct answers-linear
Simple linear regression is appropriate when for each value of X, the probability distribution of Y has the
same ____. When this condition is satisfied, the variability of the residuals will be relatively constant
across all values of X, which is easily checked in a residual plot. - correct answers-standard deviation = σ
Simple linear regression is appropriate when for any given value of x, the y values are ____ and roughly
____. - correct answers-independent; normally distributed
Linear regression finds the straight line, called the ____, that best represents observations in a ____
data set. - correct answers-least squares regression line; bivariate
Y = Β₀ + Β₁X is the equation for what? - correct answers-population regression line
What do each of the variables mean in the equation Y = Β₀ + Β₁X ?
Y = ____
B₀ = ____
B₁= ____
X = ____ - correct answers-dependent variable; constant; regression coefficient; independent variable
ŷ = b₀ + b₁x is the equation for what?
The ____ when given a ____ of observations. - correct answers-population regression line; sample
What do each of the variables mean in the equation ŷ = b₀ + b₁x ?
ŷ = ____
b₀ = ____
