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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

5. Geometric Sequences

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Exercise 56 Page 312

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=- 5x+1	y-value from model	Residual
- 3	6	- 5( - 3)+1	16	6-16= - 10
- 2	4	- 5( - 2)+1	11	4-11= - 7
- 1	6	- 5( - 1)+1	6	6-6= 0
0	1	- 5( 0)+1	1	1-1= 0
1	2	- 5( 1)+1	- 4	2-(- 4)= 6
2	- 4	- 5( 2)+1	- 9	- 4-(- 9)= 5
3	- 3	- 5( 3)+1	- 14	- 3-(- 14)= 11

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.

The residual points are not evenly dispersed about the x-axis and form a pattern. Therefore, the equation y=- 5x+1 is not a good fit.

Subchapter links

Communicate Your Answer p.305

Monitoring Progress p.306-309

Exercises p.310-312