Question

The scatter plot shows the number of people at a fair based on the outside temperature. How many fewer people would be predicted to be at the fair on a 100°F day than on a 75°F day? Fill in the blanks:
The slope is __.
For each degree that the outside temperature increases, the fair attendance decreases by __ thousand people.
The difference between 75°F and 100°F is __°F.
-0.16 *__ =__
About __ thousand fewer people are predicted
to be at the fair on a 100°F day than on a 75°F day.

Answer 1

Answer

1.-0.08

Step-by-step explanation:

Answer 2

Using the regression scatterplot given, the slope of the relationship between the number of people and temperature and the questions can be answered thus :

• Slope = Δy / Δx

Slope = (12-4) / (60 - 110) = 8/50 = 0.16

Hence, the slope = 0.16

2.)

Using the slope value, which is the rate of change,

For each degree increase in outside temperature, fair attendance decreases by 0.16 thousand people.

3.)

The difference between 75°F and 100°F is (100 - 75) = 25°F

Multiplying the slope by the difference :

-0.16 × 25 = 4

Hence, about 4000 fewer people are predicted to be at the fair on a 100°F day than on a 75°F day.

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