10.3 Coefficient of Determination and Standard Error of ...

[Pages:32]Sec 10.3

Coefficient of Determination and Standard Error of the Estimate.

Review concepts

x 1 2 y 10 8

3 4 5 12 16 20

fill in the third row of the table for each x value.

Review concepts

x 1 2 3 4 5

y 10 8 12 16 20

7.6 10.4 13.2 16 18.8

Variation

Regression line

Bluman, Chapter 10

5

Variations

The total variation is calculated by: ( - )2

This the sum of the squares of the vertical distances from the mean.

2 parts of variation

The total variation is made up off two types of variation:

1. Explained variation: attributed to the relationship between x & y.

2. Unexplained variation: due to chance.

Explained variation

( - )2

Most of the variation can be explained by the relationship.

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