AA Section 3-6

21
SECTION 3-6 Fitting a Line to Data

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Fitting a Line to Data

Transcript of AA Section 3-6

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SECTION 3-6Fitting a Line to Data

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Warm-up

Complete the In-class Activity on page 168

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Scatterplot:

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Scatterplot: A collection of discrete points that describe a situation (data)

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Scatterplot: A collection of discrete points that describe a situation (data)

Line of Best Fit/Regression Line:

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Scatterplot: A collection of discrete points that describe a situation (data)

Line of Best Fit/Regression Line: A line that comes close to most of the points in a scatterplot

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Scatterplot: A collection of discrete points that describe a situation (data)

Line of Best Fit/Regression Line: A line that comes close to most of the points in a scatterplot

***Does not need to touch any points!!!***

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Scatterplot: A collection of discrete points that describe a situation (data)

Line of Best Fit/Regression Line: A line that comes close to most of the points in a scatterplot

Coefficient of Correlation:

***Does not need to touch any points!!!***

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Scatterplot: A collection of discrete points that describe a situation (data)

Line of Best Fit/Regression Line: A line that comes close to most of the points in a scatterplot

Coefficient of Correlation:

***Does not need to touch any points!!!***

Determines the strength of the relationship between the variables

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Scatterplot: A collection of discrete points that describe a situation (data)

Line of Best Fit/Regression Line: A line that comes close to most of the points in a scatterplot

Coefficient of Correlation:

***Does not need to touch any points!!!***

Determines the strength of the relationship between the variables

***Will be on -1 ≤ r ≤ 1***

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Scatterplot: A collection of discrete points that describe a situation (data)

Line of Best Fit/Regression Line: A line that comes close to most of the points in a scatterplot

Coefficient of Correlation:

***Does not need to touch any points!!!***

Determines the strength of the relationship between the variables

***Will be on -1 ≤ r ≤ 1***

***When r < 0, the slope is negative. When r > 0, the slope is positive.***

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Scatterplot: A collection of discrete points that describe a situation (data)

Line of Best Fit/Regression Line: A line that comes close to most of the points in a scatterplot

Coefficient of Correlation:

***Does not need to touch any points!!!***

Determines the strength of the relationship between the variables

***Will be on -1 ≤ r ≤ 1***

***When r < 0, the slope is negative. When r > 0, the slope is positive.***

***The closer that |r| = 1, the stronger the correlation.***

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Example 1

We’re comparing time spent exercising with resting heart rates. The info is in your notes. And we’re going to go through the graphing process.

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Example 2a. What correlation exists?

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Example 2a. What correlation exists?

Positive

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Example 2a. What correlation exists?

Positive

b. What is the correlation value (r)?

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Example 2a. What correlation exists?

Positive

b. What is the correlation value (r)?

r = .7260615475

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Example 2a. What correlation exists?

Positive

b. What is the correlation value (r)?

r = .7260615475

c. If you spent 5 hours a week studying, what grade would you expect?

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Example 2a. What correlation exists?

Positive

b. What is the correlation value (r)?

r = .7260615475

c. If you spent 5 hours a week studying, what grade would you expect?

About a 77

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Homework

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Homework

p. 172 #1, 3-7, 14, 15, 20 (a, b, d, g, h, i), 21-27

“Your true value depends entirely on what you are compared with.”

- Bob Wells