1 what you will learn today 1. new vocabulary 2. how to determine if data points are related 3. how...

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What you will learn today1. New vocabulary2. How to determine if data points are related3. How to develop a linear regression equation4. How to graph a linear inequality

Objective: 2.5 Correlation and Best Fitting Lines, 2-6 Linear Inequalities

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Correlation and Best-Fitting LinesVocabulary:

Scatter Plot is a graph used to determine whether there is a relationship between paired data (e.g. exercise and heart rate). It looks like a bunch of dots on a graph.

Positive correlation: No Correlation

Negative correlation:


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Determining Types of Correlation Provided by Mrs. C.


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Steps for Developing a “Best Fit Line”

Step 1: Draw a scatter plot of the data (an accurate plot)

Step 2: Sketch the line that appears to follow most closely the pattern of the points. There should be as many points above the line as below it.

Step 3: Choose two points on the line and estimate the coordinates of each point. These points do not have to be from the original data set.

Step 4: Find the equation of the line by finding the slope and using one of the linear equation forms.


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Example The data pairs give the average speed of

an airplane during the first 10 minutes of flight, with x in minutes and y in miles per hour. Approximate the best fit line for the data.

(1, 180), (2, 250), (3, 290), (4, 310), (5, 400), (6, 420), (7, 410), (8, 490), (9, 520), (10, 510)


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Homework for Section 2.5 Page 103, 8-10 all, 19, 20, 24, 25


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Graphing Linear Inequalities

How many solutions are there to the equation y < 2?

We have to have a way to note this on a coordinate plane.


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Graphing Linear InequalitiesA linear inequality in two variables is an inequality that can be written in one of the following forms:

Ax + By < C Ax + By < C

These inequalities have many solutions.

CByAx CByAx


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Example Check whether the given ordered pair is

a solution of 2x + 3y > 5.A) (0, 1) B) (4, -1) C) (2, 1)


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Graphing a y <,> mx + b Inequality

Steps:1. Graph the boundary line just as you

would in a y = mx + b equation.2. Decide which side of the boundary line

to shade by testing a point on either side of the boundary line.


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Example Graph y < -2 and 1x


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Another Example Graph y < 2x and 1052 yx


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You Try Graph 2x + 3y < 6

x-10 -5 5 10

y

-10

-5

5

10


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Homework

Page 111, 14, 16, 30, 31, 48, 49

1 what you will learn today 1. new vocabulary 2. how to determine if data points are related 3. how...

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