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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
slide1

Today’s Lesson

Generating and Interpreting Scatter Plots and Lines of Best Fit

slide2

Warm-Up Activity

We will warm up today by working problems with fractions.

slide3

7

3

5

4

4

5

What can you multiply these fractions by to get 1?

slide4

9

5

-

-

5

9

14

17

-

-

17

14

What can you multiply these fractions by to get 1?

slide5

Solve for x.

Multiply by the reciprocal.

slide6

Solve for x.

Add two-thirds to both sides.

Multiply by the reciprocal.

slide7

Solve for x.

Subtract seven-eighths from both sides.

Multiply by the reciprocal.

slide8

Whole-Class Skills Lesson

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

slide9

What are some ways to graph lines?

y = mx + b

two points and the slope formula

slide11

Scatter Plots

Scatter Plots relate two sets of data.

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

slide12

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.

slide13

Correlation

Positive Correlation

As x increases, y increases.

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

slide14

Correlation

Negative Correlation

As x increases, y decreases.

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

slide15

Correlation

No Correlation

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

slide16

Line of Best Fit

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

The line can be used to make predictions.

slide17

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.

slide18

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

slide21

What data does this scatter plot show?

Test scores and how they relate to time studied

slide22

What type of correlation does this graph show?

This is a positive correlation. The higher the test score, the longer you studied.

slide23

Based on the line of best fit, how long do you think you should study to get an 80?

About ¾ of an hour