alg2 1.4 notes.notebook · alg2 1.4 notes.notebook september 07, 2012 ... 1.4 p.36 #1 4, 8 12, 16,...

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Alg2 1.4 Notes.notebook September 07, 2012 Write the equation of the line passing through each pair of passing points in slopeintercept form. 1. (5, 1), (0, 3) 2. (8, 5), (8, 7) Use the equation y = –0.2x + 4. Find x for each given value of y. 3. y =7 4. y = 3.5

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Page 1: Alg2 1.4 Notes.notebook · Alg2 1.4 Notes.notebook September 07, 2012 ... 1.4 p.36 #1 4, 8 12, 16, 19 24. Warm Up ... Nov Albany and Sydney are about the same distance from the equator

Alg2 1.4 Notes.notebook September 07, 2012

Write the equation of the line passing through each pair of passing points in slope­intercept form.

1. (5, –1), (0, –3) 2. (8, 5), (–8, 7)

Use the equation y = –0.2x + 4. Find x for each given value of y.

3. y = 7  4. y = 3.5 

Page 2: Alg2 1.4 Notes.notebook · Alg2 1.4 Notes.notebook September 07, 2012 ... 1.4 p.36 #1 4, 8 12, 16, 19 24. Warm Up ... Nov Albany and Sydney are about the same distance from the equator

Alg2 1.4 Notes.notebook September 07, 2012

1­4 Curve Fitting with Linear Models

1.  Fit scatter plot data using linear models with and without technology2.  Use linear models to make predictions

Anthropologists can use the femur, or thighbone, to estimate the height of a human being.

Correlation:

Page 3: Alg2 1.4 Notes.notebook · Alg2 1.4 Notes.notebook September 07, 2012 ... 1.4 p.36 #1 4, 8 12, 16, 19 24. Warm Up ... Nov Albany and Sydney are about the same distance from the equator

Alg2 1.4 Notes.notebook September 07, 2012

1)  Finding a Best Fit Linear Modelby Hand

1) cont. sketch

Page 4: Alg2 1.4 Notes.notebook · Alg2 1.4 Notes.notebook September 07, 2012 ... 1.4 p.36 #1 4, 8 12, 16, 19 24. Warm Up ... Nov Albany and Sydney are about the same distance from the equator

Alg2 1.4 Notes.notebook September 07, 2012

1) cont.  calculate

Why is the line called a line of best fit if there are other ways to draw a line through the data?

Could you select another pair of points to find the slope of the line?  How would this affect the equation?

Page 5: Alg2 1.4 Notes.notebook · Alg2 1.4 Notes.notebook September 07, 2012 ... 1.4 p.36 #1 4, 8 12, 16, 19 24. Warm Up ... Nov Albany and Sydney are about the same distance from the equator

Alg2 1.4 Notes.notebook September 07, 2012

1)  cont.  Now let's go back and calculate the regression line with your calculator...

Page 6: Alg2 1.4 Notes.notebook · Alg2 1.4 Notes.notebook September 07, 2012 ... 1.4 p.36 #1 4, 8 12, 16, 19 24. Warm Up ... Nov Albany and Sydney are about the same distance from the equator

Alg2 1.4 Notes.notebook September 07, 2012

Correlation      Causation

Page 7: Alg2 1.4 Notes.notebook · Alg2 1.4 Notes.notebook September 07, 2012 ... 1.4 p.36 #1 4, 8 12, 16, 19 24. Warm Up ... Nov Albany and Sydney are about the same distance from the equator

Alg2 1.4 Notes.notebook September 07, 2012

1.4 p.36 #1 ­ 4, 8 ­ 12, 16, 19 ­ 24