Scatter Plots & Linear Regressions 1

Scatter Plots & Linear Regressions (Activity 13)

By ALIECIA BOULIGNY

Vocabulary

1. SCATTER PLOT- dISPLAYS THE RELATIONSHIP BETWEEN TWOS SETS OF DATA. ​

2. trend line- a line drawn on a scatter plot to show the correlation or association between to sets of data​

3. Line of best fit-​ Most accurate trend line (on demos)

4. correlation-​ Trend or pattern

5. causation- between two variables; a change in one variable causes the other variable to change

6. Linear Regression- method used to find the line of best fit​ (on demos)

THIS SHOULD BE WRITTEN ON YOUR PAPER

The axes are labeled, and the data points are "scattered" across the graph. We can use this graph to compare height and weight of the people in this study.​

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EXAMPLE 1:

HEIGHT VS WEIGHT​

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Correlation means trend or pattern.  What trend or pattern do you see here?  If three people gave you their height, could you make assumptions about their weight?

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CORRELATION

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Causation

between two variables; a change in one variable causes the other variable to change

Examples:

1. More exercise causes a greater number of calories to be burned

2. A change in x causes a change in y

3. a change in y causes a change in x​

Some text here about the topic of discussion

1. POSITIVE

   1. strong

   2. weak​

2. NEGATIVE

   1. strong

   2. weak​

3. ​NO CORRELATION

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Write this slide in your notes.

CORRELATION TYPES

Multiple Choice

What kind of correlation did our height vs weight graph show?

• Positive

• Negative

• No Correlation

Multiple Choice

Would you say the correlation was strong or weak?

• Strong

• Weak

• No Correlation

So, our graph has a weak positive correlation.  In order to have a stronger correlation, we want the dots to be much closer together on the graph, almost a LINE.  The more "line-like" they are, the stronger the correlation.​

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​Some text here about the topic of discussion.

Multiple Choice

This scatter plot is almost a line. What can you say about it?

• Strong positive

• Weak positive

• Strong negative

• Weak negative

Multiple Choice

What kind of correlation is this?

• Strong positive

• Weak positive

• Strong negative

• Weak negative

​Some text here about the topic of discussion.

Go to desmos calculator for 13-1 Check your understanding

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13-1 check your understanding Answer:

Subject | Subject

Some text here about the topic of discussion

Go to demos calculator for Practice

Subject | Subject

Some text here about the topic of discussion

Subject | Subject

Some text here about the topic of discussion

13-2 Practice Answer:

Subject | Subject

Some text here about the topic of discussion