Generating and Interpreting Scatter Plots and Lines of Best Fit

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# Generating and Interpreting Scatter Plots and Lines of Best Fit - PowerPoint PPT Presentation

Today’s Lesson. Generating and Interpreting Scatter Plots and Lines of Best Fit. Warm-Up Activity. We will warm up today by working problems with fractions. 7. 3. 5. 4. 4. 5. What can you multiply these fractions by to get 1?. 9. 5. -. -. 5. 9. 14. 17. -. -. 17. 14.

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Presentation Transcript

Today’s Lesson

Generating and Interpreting Scatter Plots and Lines of Best Fit

Warm-Up Activity

We will warm up today by working problems with fractions.

7

3

5

4

4

5

What can you multiply these fractions by to get 1?

9

5

-

-

5

9

14

17

-

-

17

14

What can you multiply these fractions by to get 1?

Solve for x.

Multiply by the reciprocal.

Solve for x.

Multiply by the reciprocal.

Solve for x.

Subtract seven-eighths from both sides.

Multiply by the reciprocal.

Whole-Class Skills Lesson

Today, you are going to generate and interpret scatter plots and find the lines of best fit.

What are some ways to graph lines?

y = mx + b

two points and the slope formula

Scatter Plots

Scatter Plots relate two sets of data.

The strength of the relationship can be seen by looking at the data points.

Scatter Plots

If the points are close together, then there is a strong relationship between the two data sets.

If the points are spread out, then there is a weak relationship between the data sets.

Correlation

Positive Correlation

As x increases, y increases.

If the relationship is increasing, then the graph has a positive correlation.

Correlation

Negative Correlation

As x increases, y decreases.

If the relationship is decreasing, then the graph has a negative correlation.

Correlation

No Correlation

If there isn’t a relationship between the data points, there is no correlation.

Line of Best Fit

Line drawn on a scatter plot that fits the most data points.

The line can be used to make predictions.

Line of Best Fit

The line should split the data fairly evenly.

Notice this line has about 7 points above and below the line, and it passes through several points.

Walking times were recorded for Saturday’s Fun Walk in a scatter plot. What relationship exists between the two sets of data?