# Welcome to Algebra 2! - PowerPoint PPT Presentation

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Welcome to Algebra 2!. Get out your homework Get out catalogs Get out writing utensils Put bags on the floor Be quiet!!!. Curve Fitting with Linear Models. Section 2-7. Definitions. Regression is the statistical study of the relationship between sets of data

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Welcome to Algebra 2!

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### Welcome to Algebra 2!

• Get out catalogs

• Get out writing utensils

• Put bags on the floor

• Be quiet!!!

2-7: Curve Fitting with Linear Models

## Curve Fitting with Linear Models

Section 2-7

2-7: Curve Fitting with Linear Models

### Definitions

• Regression is the statistical study of the relationship between sets of data

• Scatterplot is a graph that helps understand the form, direction, and strength of the relation; individual points

• Correlation is the strength and direction of the linear relationship between two variables

• Correlation Coefficient is the measure of how well the data set is fit by through a model; represented by r

• -1 ≤ r ≤ 1

• Line of Best Fit is the line that best approximates a set of data

2-7: Curve Fitting with Linear Models

### Steps of Curve Fitting

• Identify and list all of the data points

• Put data into calculator – use STAT key

• STAT  CALC  and select LinReg (ax + b) to get the equation

2-7: Curve Fitting with Linear Models

### Example 1

The table shows the U.S. daily oil production y (in thousands of barrels x years) after 1994.

• Use the graphing calculator to find and graph the equation of the best-fitting line.

• Use the equation from part (a) to predict the daily oil production in 2009.

2-7: Curve Fitting with Linear Models

Use the graphing calculator to find and graph the equation of the best-fitting line.

2-7: Curve Fitting with Linear Models

### Assignment A2-2

• P. 146: #1, 3, 5 + 9, 10, 11

2-7: Curve Fitting with Linear Models

### Assignment A2-4 A2-6

• P. 146: #1, 3, 5

2-7: Curve Fitting with Linear Models