A clothing company is interested in the relationship between the number of sales per month for its employees (y) and price. Based on the collected data, the least-squares regression line is ŷ = 9.74 + 4.89x, where x is the number of dollars by which price exceeds $25. Which of the following statements best describes the meaning of the slope of the least-squares regression line?

Question 3 options:

1)

For each increase in price of $1, the estimated number of sales per month increases by 4.89.

2)

For each increase in price of $1, the estimated number of sales per month increases by 9.74.

3)

For each increase of one sale per month, there is an estimated increase in price of $4.89.

4)

For each increase of one sale per month, there is an estimated increase in price of $9.74.

5)

The slope has no meaning because the units of measure for x and y are not the same.

Using linear function concepts, it is found that the statement that best describes the meaning of the slope of the least-squares regression line is:

1) For each increase in price of $1, the estimated number of sales per month increases by 4.89.

Linear function:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

In this problem, the equation is:

[tex]y = 9.74 + 4.89x[/tex]

The slope is of 4.89, which means that when x(number of dollars by which price exceeds $25) changes by 1, y(number of sales per month) increases by 4.89, hence option 1 is correct.

You can learn more about linear function concepts at https://brainly.com/question/16302622