2-7 Curve Fitting with Linear Models Holt Algebra 2.

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Presentation transcript:

2-7 Curve Fitting with Linear Models Holt Algebra 2

Objectives Fit scatter plot data using linear models with and without technology. Use linear models to make predictions.

Researchers, such as anthropologists, are often interested in how two measurements are related. The statistical study of the relationship between variables is called regression.

A scatter plot is helpful in understanding the form, direction, and strength of the relationship between two variables. Correlation is the strength and direction of the linear relationship between the two variables.

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. Try to have about the same number of points above and below the line of best fit. Helpful Hint Reading Math A line of best fit may also be referred to as a trend line.

Check It Out! Example 1 Make a scatter plot for this set of data. Identify the correlation, sketch a line of best fit, and find its equation.

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

Homework: Go to my website and print off the directions for linear regression using the calculator. Look under tab on left side of site titled “Calculator Tips”.