SCATTER PLOTS 8.SP.1 Essential Question? How can you construct and interpret scatter plots?
Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.
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Transcript of Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.
![Page 1: Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649f575503460f94c7c2c8/html5/thumbnails/1.jpg)
Chapter 2 – Linear Equations and Functions
2.7 – Scatter Plots and Correlation
![Page 2: Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649f575503460f94c7c2c8/html5/thumbnails/2.jpg)
2.7 – Scatter Plots and Correlation
• In this section we will review:– Correlations in scatter plots and
finding a best-fitting line
![Page 3: Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649f575503460f94c7c2c8/html5/thumbnails/3.jpg)
2.7 – Scatter Plots and Correlation
• Scatter plot – graph of a set of data pairs (x, y )
– Can help identify the relationship, or correlation, between two variables
![Page 4: Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649f575503460f94c7c2c8/html5/thumbnails/4.jpg)
2.7 – Scatter Plots and Correlation
• Positive correlation– As x increases, y increases.
![Page 5: Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649f575503460f94c7c2c8/html5/thumbnails/5.jpg)
2.7 – Scatter Plots and Correlation
• Negative correlation– As x increases, y decreases
![Page 6: Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649f575503460f94c7c2c8/html5/thumbnails/6.jpg)
2.7 – Scatter Plots and Correlation
• Relatively no correlation– There is no obvious pattern between
x and y
![Page 7: Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649f575503460f94c7c2c8/html5/thumbnails/7.jpg)
2.7 – Scatter Plots and Correlation
• Example 1– Describe the
correlation shown by the scatter plot.
![Page 8: Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649f575503460f94c7c2c8/html5/thumbnails/8.jpg)
2.7 – Scatter Plots and Correlation
• Example 2– Describe the
correlation shown in the scatter plot.
![Page 9: Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649f575503460f94c7c2c8/html5/thumbnails/9.jpg)
2.7 – Scatter Plots and Correlation
• Best-fitting line – the line that most closely models the data
– When points lie close, almost forming a line with positive or negative slope, the correlation is strong.
![Page 10: Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649f575503460f94c7c2c8/html5/thumbnails/10.jpg)
2.7 – Scatter Plots and Correlation
• Approximating a Best-Fitting Line1. Draw a scatter plot2. Sketch a line that follows the trend.
The line should be close to as many points as possible.
3. Choose two points that lie on the line and estimate the coordinates (they do NOT have to be original points)
4. Write an equation for the two points from step 3.
![Page 11: Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649f575503460f94c7c2c8/html5/thumbnails/11.jpg)
2.7 – Scatter Plots and Correlation
• Example 3– The table gives
the systolic blood pressure y of patients x years old. Approximate the best-fitting line for the data.
![Page 12: Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649f575503460f94c7c2c8/html5/thumbnails/12.jpg)
2.7 – Scatter Plots and Correlation
• Example 4– These data represent
purchases at five gas stations in a city.
– Approximate the best-fitting line.
– Predict the cost of 10 gallons of gasoline.
![Page 13: Chapter 2 – Linear Equations and Functions 2.7 – Scatter Plots and Correlation.](https://reader036.fdocuments.in/reader036/viewer/2022062421/56649f575503460f94c7c2c8/html5/thumbnails/13.jpg)
2.7 – Scatter Plots and Correlation
HOMEWORKWorksheet 2.7 Practice A