# Warm-Up - PowerPoint PPT Presentation

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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

### Examples

Determine, just by visual inspection, if the linear model is 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?

2. Does this support your original guess?

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

### 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.

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

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

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.

### 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.

Residual

Total Time

Residual

Total Time

## Classwork

Finish for Homework