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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 6 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=6x+4	y-value From Model	Residual
1	13	6( 1)+4	10	13-10= 3
2	14	6( 2)+4	16	14-16= -2
3	23	6( 3)+4	22	23-22= 1
4	26	6( 4)+4	28	26-28= -2
5	31	6( 5)+4	34	31-34= -3
6	42	6( 6)+4	40	42-40= 2
7	45	6( 7)+4	46	45-46= -1
8	52	6( 8)+4	52	52-52= 0
9	62	6( 9)+4	58	62-58= 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