The R.M.S. Error - University of California, Berkeley

The R.M.S. Error

Regression for Prediction

1

Prediction Errors

Regression Line y

Error or "residual"

x

2

A Measure of the Size of the Errors: RMS Error

RMS Error =

(error)2 + (error)2 + ... + (error)2 number of errors

.

3

Quantitative GMAT Predicts MBA GPA? (r = .34)

MBA GPA

4.5

4

3.5

3

2.5

2

1.5

1

0.5

10

15

20

25

30

35

40

45

50

55

60

Quantitative GMAT

4

MBA GPA

RMS Error = .46

4.5

4

3.5

3

2.5

2

1.5

1

0.5

10

15

20

25

30

35

40

45

50

55

60

Quantitative GMAT

5

Regression line plus one RMS error

Regression line minus one RMS error

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