For a linear regression equation calculated for a sample of n = 25 pairs of X and Y values, what...

Question:

For a linear regression equation calculated for a sample of {eq}n = 25 {/eq} pairs of {eq}X {/eq} and {eq}Y {/eq} values, what would be the {eq}df {/eq} value for the standard error of estimate?

a. {eq}1 {/eq}

b. {eq}2 {/eq}

c. {eq}23 {/eq}

d. {eq}25 {/eq}

Regression Analysis

The Regression Analysis is the technic to forecast the value of the dependent variable, there are generally two types technics under linear regression and non-linear regression model. The linear regression model has the linear independent and dependent variables.

Answer and Explanation:

The correct option is an option(c). The value of degree of freedom is number of observation(n) minus the number of variables (k), here the value of degree of freedom is n-k =25-2=>23.


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Regression Analysis: Definition & Examples

from Algebra II: High School

Chapter 21 / Lesson 4
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