Market data gathered for ice cream sales based on the temperature in Fahrenheit. Interpret the slope and y-intercept (0,38) of the linear model using (65,325)

Answer 1

The slope of the linear model represents the rate of change in ice cream sales with respect to the temperature in Fahrenheit. In this case, the slope can be calculated using the two data points (0,38) and (65,325) as follows:

slope = (325 - 38) / (65 - 0) = 287 / 65 ≈ 4.4154

This means that for every 1 degree increase in temperature, ice cream sales increase by approximately 4.4154 units.

The y-intercept of the linear model, which is the value of y when x = 0, is 38. This means that when the temperature is 0 degrees Fahrenheit, the predicted ice cream sales are 38 units.

Thus, based on the given data points and linear model, ice cream sales increase by approximately 4.4154 units for every 1 degree increase in temperature, and when the temperature is 0 degrees Fahrenheit, the predicted ice cream sales are 38 units.