Question

The linear regression model y=1.8x−76.9 represents the relationship between the temperature (°F) and the number of ice cream cones sold.
Using the model, approximate the temperature when there are 95 ice cream cones sold. Round your answer to the nearest tenth. When they sell 95 ice cream cones, the temperature is approximately _ °F.

Answer 1

Answer:

95.5 °F

Step-by-step explanation:

A linear regression model is used to represent the relationship between two variables in form of a linear equation. A linear regression line equation is in the form Y = a + bX, where X is the independent variable, Y is the dependent variable, b is the slope of the line and a is the Y intercept (the value of y when x = 0).

Given that x represents the temperature (°F) and y represents the number of ice cream cones sold.

We have the equation as y = 1.8x - 76.9.

Given a 95 ice cream cones sold, to find the temperature, we substitute y = 95 and find x:

y = 1.8x - 76.9

95 = 1.8x - 76.9

1.8x = 95 + 76.9

1.8x = 171.9

x= 95.5 °F

When they sell 95 ice cream cones, the temperature is approximately 95.5 °F