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Big Ideas Math Algebra 1, 2015

BI

Big Ideas Math Algebra 1, 2015 View details

5. Analyzing Lines of Fit

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Exercise 7 Page 206

Make a table of the residual values and then graph them on a scatter plot.

Yes, see solution.

Practice makes perfect

Let's begin by making a table of the residual values.

x	y	y=-1.3x+1	y-value From Model	Residual
-8	9	-1.3( -8)+1	11.4	9-11.4= -2.4
-6	10	-1.3( -6)+1	8.8	10-8.8= 1.2
-4	5	-1.3( -4)+1	6.2	5-6.2= -1.2
-2	8	-1.3( -2)+1	3.6	8-3.6= 4.4
0	-1	-1.3( 0)+1	1	-1-1= -2
2	1	-1.3( 2)+1	-1.6	1-(-1.6)= 2.6
4	-4	-1.3( 4)+1	-4.2	-4-(-4.2)= 0.2
6	-12	-1.3( 6)+1	-6.8	-12-(-6.8)= -5.2
8	-7	-1.3( 8)+1	-9.4	-7-(-9.4)= 2.4

Now we can create a scatter plot using the given x-values and our residuals. Remember, if the model is a good fit for the data, the scatter plot will be evenly distributed above and below the x-axis. Also, there will be no apparent patterns.

Scatter plot

This line of fit models the data well. It is evenly distributed above and below the x-axis.

Subchapter links

Communicate Your Answer p.201

Monitoring Progress p.203-205