Question

enter values for x and y in the table to plot points in the graph.
use the data points representing clothes-4-you shoe sales, where x is the average temperature and y is the number of shoes sold.
(5, 66), (8, 54), (11, 63), (18, 70), (24, 51), (32, 68), (36, 60), (44, 73), (50, 55)
is the sale of 90 shoes a reliable prediction when the temperature is 80°f?
yes, as input increases the output increases.
yes, as input increases the output decreases.
no, theres no association between the variables.
can not be determined because it is an extrapolation.

Explanation:

Step1: Analyze Data Range

The x - values (temperatures) in the data points are from 5 to 50. The temperature 80°F is far outside this range (5 ≤ x ≤ 50).

Step2: Understand Extrapolation

When we try to make a prediction for a value of the independent variable (x = 80) that is outside the range of the data we have, this is called extrapolation. Extrapolation is less reliable because the relationship between the variables (temperature and shoe sales) that we observe within the data range may not hold outside of it. The other options are incorrect: there is no clear increasing or decreasing trend (so first two "Yes" options are wrong), and there is some association (so "No, there's no association" is wrong).

Answer:

Can not be determined because it is an extrapolation.