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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

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?


Week 2-EOCT #2


Residuals

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


Analyzing Residuals

  • Determines the effectiveness of the regression model


Residual Plots

A residual plot is another type of

SCATTERPLOT

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


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


Examples

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


Linear model appropriate or inappropriate?


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 inappropriate?


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 inappropriate?


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 inappropriate?


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 Residual


Good fit or not?

Residual

Total Time


Good fit or not?

Residual

Total Time


Classwork

Finish for Homework


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