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Day 3 Line of Best Fit and Context.notebook 1 December 07, 2015 Scatter plots can show a relationship between two variables. This relationship is called a correlation and can be positive or negative. Scatter plots, trend lines (line of best fit or prediction line) and Context

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Page 1: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

1

December 07, 2015

Scatter plots can show a relationship between two variables. This relationship is called a correlation and can be positive or negative.

Scatter plots, trend lines (line of best fit or prediction line) and Context

Page 2: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

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December 07, 2015

Positive Correlation!

What happens to f(x) as x increases?

Page 3: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

3

December 07, 2015

Negative Correlation!!

What happens to f(x) as x increases?

Page 4: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

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December 07, 2015

Zero Correlation!!!

What happens to f(x) as x increases?

Page 5: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

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December 07, 2015

What type of correlation is shown in these graphs?

Note:• The closer the points are to forming a 

straight line, the stronger the correlation!

Page 6: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

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December 07, 2015

A line of best fit is a line that summarizes the trend in a set of data. To determine the line of best fit when given a scatter plot, use the following steps:

1.) Draw a line that goes through as many points as possible on the scatter plot

2.) Calculate the slope between two points on the line.

3.) Plug in the slope and y­intercept to get an equation in slope­intercept form.

Page 7: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

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December 07, 2015

Write an equation of the line of best fit. Describe the strength and type of correlation in the scatter plot.

Page 8: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

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December 07, 2015

Write an equation of the line of best fit. Describe the strength and type of correlation in the scatter plot. 

Page 9: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

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December 07, 2015

Equations From Context!Rachel is planning a wedding, and the catering company she hired charges $30 per guest. She currently has a total of 75 guests, and the cost comes to $2,250. Write an equation that represents the relationship between the number of guests and the total cost. 

Page 10: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

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December 07, 2015

You are shopping for clothes at JCPenney. One sign says that if you buy 5 shirts, the cost will be $25, and another sign says that if you buy 7 shirts, the cost will be $32. Write an equation that represents the relationship between the number of shirts bought and the total cost. 

Page 11: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

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December 07, 2015

At Thanksgiving dinner, you notice that there are twice as many entrees (e) as desserts (d). Complete the table with possible combinations of entrees and desserts, and write an equation that represents ALL the possible combinations. 

Entrees Desserts

Page 12: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

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December 07, 2015

You are planning to go to the movies with your family. An adult ticket costs $10.50, and a child’s ticket costs $5.25. Write an equation that represents the possible combinations of how many of each ticket you can buy for $40. 

Page 13: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

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December 07, 2015

Page 14: Day 3- Line of Best Fit and Context.notebook...Day 3 Line of Best Fit and Context.notebook 6 December 07, 2015 A line of best fit is a line that summarizes the trend in a set of data

Day 3­ Line of Best Fit and Context.notebook

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December 07, 2015