Question

1.One assumption of linear regression is that the distribution of Y scores associated with a particular...

1.One assumption of linear regression is that the distribution of Y scores associated with a particular X score is approximately normal. True or False

2. The primary use of linear regression is to make a statistically sound prediction about the value of some variable (e.g., Y) given the value of some other variable (e.g., X). True or False

Homework Answers

Answer #1

1. One assumption of linear regression is that the distribution of Y scores associated with a particular X score is approximately normal.

TRUE

The assumptions of Linear regression are

  • Linearity: The relationship between X and the mean of Y is linear.
  • Homoscedasticity: The variance of residual is the same for any value of X.
  • Independence: Observations are independent of each other.
  • Normality: For any fixed value of X, Y is normally distributed.

2. The primary use of linear regression is to make a statistically sound prediction about the value of some variable (e.g., Y) given the value of some other variable (e.g., X).

True

in linear regression we predict variable(y) with the help of some other variable( or linear combination of other variables)

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