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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 5 Page 206

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

No, see solution.

Practice makes perfect

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

x	y	y=4x-5	y-value From Model	Residual
-4	-18	4( -4)-5	-21	-18-(-21)= 3
-3	-13	4( -3)-5	-17	-13-(-17)= 4
-2	-10	4( -2)-5	-13	-10-(-13)= 3
-1	-7	4( -1)-5	-9	-7-(-9)= 2
0	-2	4( 0)-5	-5	-2-(-5)= 3
1	0	4( 1)-5	-1	0-(-1)= 1
2	6	4( 2)-5	3	6-3= 3
3	10	4( 3)-5	7	10-7= 3
4	15	4( 4)-5	11	15-11= 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 does not model the data well. It is not evenly distributed above and below the x-axis. The residual scatter plot shows that every residual is positive.

Subchapter links

Communicate Your Answer p.201

Monitoring Progress p.203-205