Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
2. Lines of Fit
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Exercise 5 Page 246

Make a scatter plot and graph a line that is close to the points.

about 0.6 inches, see solution.

Practice makes perfect
The ordered pairs (x,y) show the amounts y of inches of rainfall equivalent that are equivalent to x inches of snow. (16, 1.5), (12, 1.3), (18, 1.8), (15, 1.5), (20, 2.1), (23, 2.4) We can represent the data set in a table.
Snow (inches), x Rainfall (inches), y
16 1.5
12 1.3
18 1.8
15 1.5
20 2.1
23 2.4

We want to find how many inches of rainfall is equivalent to 6 inches of snow. To do so, we will graph a line of fit. Let's start by making a scatter plot with the given data points.

scattered plot

Now we will draw a line that is close to the points.

scattered plot

To find how many inches of rainfall is equivalent to 6 inches of snow, we can make a vertical line x = 6. Then, we can mark the point of intersection of the vertical line and the trend line. The y-intercept of this point is the amount of rainfall that is equivalent to 6 inches of snow.

scattered plot

We found that 6 inches of snow is equivalent to about 0.6 inches of rainfall.