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Warm-Up. What is the probability that a randomly selected person is a woman who likes P.E.? . 2. Given that you select a man, what is the probability that he likes Social S tudies?. Week 2-EOCT #2 . Residuals.

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Warm-Up

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Warm up

Warm-Up

What is the probability that a randomly selected person is a woman who likes P.E.?

.

2. Given that you select a man, what is the probability that he likes Social Studies?


Warm up

Week 2-EOCT #2


Residuals

Residuals

To find the residual you take the ACTUAL data and SUBTRACT the PREDICTED data.


Analyzing residuals

Analyzing Residuals

  • Determines the effectiveness of the regression model


Residual plots

Residual Plots

A residual plot is another type of

SCATTERPLOT

that shows the relationship of the residual to the x value.


Residual plots determine

Residual Plots Determine

  • If it the regression model is appropriate, then the residual plot will have a RANDOMscatter.

  • If the residual plot creates a pattern then the regression model is NOT A GOOD FIT. Pattern = Problem


Example of random scatter

Example of Random Scatter


Examples

Examples

Determine, just by visual inspection, if the linear model is appropriate or inappropriate.


Linear model appropriate or inappropriate

Linear model appropriate or inappropriate?


The only way to know is to see the residual plot

The only way to know is to see the residual plot.

1. Does their appear to be a pattern in the residual plot?

Yes, quadratic.

2. Does this support your original guess?

You must now see that a linear model does NOT fit this data.


Linear model appropriate or inappropriate1

Linear model appropriate or inappropriate?


The only way to know is to see the residual plot1

The only way to know is to see the residual plot.

1. Does their appear to be a pattern in the residual plot?

Yes, it fans out as x increases.

2. Does this support your original guess?

You must now see that a linear model does NOT fit this data.


Linear model appropriate or inappropriate2

Linear model appropriate or inappropriate?


The only way to know is to see the residual plot2

The only way to know is to see the residual plot.

1. Does their appear to be a pattern in the residual plot?

Yes, it looks quadratic.

2. Does this support your original guess?

This was very tricky. The scale was very small. You must now see that a linear model does NOT fit this data.


Linear model appropriate or inappropriate3

Linear model appropriate or inappropriate?


The only way to know is to see the residual plot3

The only way to know is to see the residual plot.

1. Does their appear to be a pattern in the residual plot?

Yes, it seems decrease as x increases.

2. Does this support your original guess?

This was tricky. You must now see that a linear model does NOT fit this data.


Example calculate residual

Example: Calculate Residual


Example calculate residual1

Example: Calculate Residual


Example calculate residual2

Example: Calculate Residual


Good fit or not

Good fit or not?

Residual

Total Time


Good fit or not1

Good fit or not?

Residual

Total Time


Classwork

Classwork

Finish for Homework


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