In a simple linear regression model, the slope term is the change in the mean value of y associated with _____________ in x.
A) a variable change
B) a corresponding increase
C) a one-unit increase
D) no change

Respuesta :

Answer:

a one-unit increase

Step-by-step explanation:

In a simple regression model, the relationship between x and y can be represented by the equation y = ax+b, where

  • a is the slope
  • b is the y-intercept

The slope term is the change in the mean value of y associated with a one-unit increase in x.

Option C is correct. For a simple linear regression model, the slope term is the change in the mean value of y associated with a one-unit increase in x.

For a simple linear regression model, the required formula for expressing the model is y = mx + b where:

m is the slope

b is the y intercept

Slope "m" is also known as the rate of change in y with respect to a unit change in x.

Hence according to the given question, for a simple linear regression model, the slope term is the change in the mean value of y associated with a one-unit increase in x.

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