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Wednesday 10-10-12. Today you need: Whiteboard, Marker, Eraser Calculator 1 page handout. Warm-up Need a White Board. 1. Graph the following equation:. Warm-up Need a White Board. 1. Graph the following equation:. Linear Regression. Section 2-6 Pages 95-100. Objectives.

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Wednesday 10-10-12

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Wednesday 10 10 12

Wednesday 10-10-12

  • Today you need:

    • Whiteboard, Marker, Eraser

    • Calculator

    • 1 page handout


Warm up need a white board

Warm-upNeed a White Board

1. Graph the following equation:


Warm up need a white board1

Warm-upNeed a White Board

1. Graph the following equation:


Linear regression

Linear Regression

Section 2-6

Pages 95-100


Objectives

Objectives

  • I can use Linear Regression with a calculator to find linear prediction Equations

  • I can find the correlation co-efficient “r” for the data


Correlation co efficient

Correlation Co-efficient

  • The correlation co-efficient “r” tells how linear the data is.

  • Values of 1 or –1 indicate perfect linear lines, either positive or negative

  • Values closer to zero mean the data has no linear relationship

  • Small whiteboard number line with r=1 and r=-1


Wednesday 10 10 12

1.0.85

Sample “r Values

-.57.17


Plotting data

Plotting Data

  • When the data you plot forms a near linear relationship, then we can use a linear equation to approximate the graph.

  • We use what’s called a Best-Fit Line. This line is drawn to be as close to the data points as possible, but may not touch them all.


Wednesday 10 10 12

y-axis

45

40

35

30

25

20

15

10

5

x-axis

0

1

2

3

4

5

6

7

8

9

10


Using the calculator linear regression

Using the Calculator (Linear Regression)

  • The calculator is a great resource to give us a prediction equation.

  • It is more accurate than doing the equation Manually

  • We will enter the data into the STAT mode of the calculator


Wednesday 10 10 12

Turn Diagnostics On. 2nd catalog,

arrow to Diagnostic on, enter, enter

Linear Regressions on the calculator:

(you should clear the calculator before beginning)

2nd, +, 7, 1, 2

#1.


Linear regression1

Linear Regression

  • Finding the equation of your “Best Fit Line”

  • STAT, then EDIT

  • Enter X-Values in L1, Y-Values in L2

  • STAT, then CALC

  • Choose (4) LIN REG


Wednesday 10 10 12

y-axis

45

40

35

30

25

20

15

10

5

x-axis

0

1

2

3

4

5

6

7

8

9

10


Wednesday 10 10 12

The table below shows the years of experience for eight technicians at Lewis Techomatic and the hourly rate of pay each technician earns.


Prediction equations

Prediction Equations

  • y = 1.234x + 5.574

  • Remember:

  • x = Experience in Years

  • y = Pay rate in dollars

  • We can use this to predict other values


Predictions 25 years experience

Predictions: 25 years experience


Predictions 32 72 per hour

Predictions: $32.72 per hour


When dealing with years

When Dealing with Years

  • Must modify years starting at “0”

  • If you don’t you get a really negative y-intercept value that won’t match the graph

  • Example on next slide


Inputting years

If the Independent variable is Years and these are your values

1901

1903

1905

1910

1913

1920

Then these are the values we will actually enter for L1

0

2

4

9

12

19

Inputting Years


Homework

Homework

  • Linear Regression Ws


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