Question

30 PTS HELP ME ASAP! PLEASE! IM TIRED AND NEED HELP!

y=7x+10 is the equation of a regression line in a scatter plot where x is the number of hours after a store opened and y is the total number of customers that have entered the store.
1. What does the slope of 6.9 mean in the correct context?
2. According to the regression equation, how many customers have entered the store after 5 hours? (Show all of your work)

Answer 1

Explanation:

Slope is an average. In this particular context, the slope of 6.9 (or 7) means that an average of 7 people entered the store every hour.

If x is the number of hours the store is open and we are told to find the number of customers that have entered the store after 5 hours, we fill in the equation as follows:

y = 7(5) + 10 and

y = 35 + 10 so

y = 45.

If you use 6.9 instead of 7:

y = 6.9(5) + 10 and

y = 34.5 + 10 so

y = 45.5

Since you can't count a half of a person, using 7 instead of 6.9 makes more sense.