Question

The equation for the line of best fit for this situation is shown below.

Answer 1

The expected number of hot dogs sold when the temperature is 50° would be 23 hot dogs, If the vendor sold 35 hot dogs, the temperature is expected to be 90 degrees.

Based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

What is the line of best fit?

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

$\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}$

$\rm c = \dfrac{\sum y -m \sum x}{n}$

The question is incomplete.

The complete question is:

A hot dog vendor at the zoo recorded the average temperature in degrees, x, and the average number of hot dogs she sold, y.

The equation for the line of best fit for this situation is shown below.

$\rm y=\dfrac{3}{10}x+8$

Based on the line of best fit, complete the given statements.

• The expected number of hot dogs sold when the temperature is 50° would be___hot dogs.
• If the vendor sold 35 hot dogs, the temperature is expected to be ___degrees.
• Based on the line of best fit, for every 10-degree increase in temperature, she should sell____more hot dogs.

We have a line of best fits:

$\rm y=\dfrac{3}{10}x+8$

Plug x = 50 in the line of best fit.

y = (3/10)50 + 8

y = 15+8

y = 23

Plug y = 35

35 = (3/10)x + 8

27 = (3/10)x

x = 90 degree

Based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

Thus, the expected number of hot dogs sold when the temperature is 50° would be 23 hot dogs, If the vendor sold 35 hot dogs, the temperature is expected to be 90 degrees, and based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1