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Linear Functions. SSection 7: Curve Fitting with Linear Models.

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Presentation on theme: "Linear Functions. SSection 7: Curve Fitting with Linear Models."— Presentation transcript:

1 Linear Functions

2 SSection 7: Curve Fitting with Linear Models

3 FFit scatter plot data using linear models with and without technology. UUse linear models to make predictions.

4 rregression ccorrelation lline of best fit ccorrelation coefficient

5 AAnthropologists can use linear models to estimate the heights of ancient people from bones that the anthropologists find. ((See Example 2.)

6 RResearchers, such as anthropologists, are often interested in how two measurements are related. TThe statistical study of the relationship between variables is called regression. AA scatter plot is helpful in understanding the form, direction, and strength of the relationship between two variables. CCorrelation is the strength and direction of the linear relationship between the two variables.

7 If there is a strong linear relationship between two variables, a line of best fit, or a line that best fits the data, can be used to make predictions.

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10 TThe correlation coefficient r is a measure of how well the data set is fit by a model.

11 YYou can use a graphing calculator to perform a linear regression and find the correlation coefficient r. TTo display the correlation coefficient, you may have to turn on the diagnostic mode. TTo do this, press, aand choose the DiagnosticOn mode.

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16 PPage 146-147 11-12


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