Question

given is the data for temperature vs ice cream sales for a shop in july of 2022. a linear regression was performed and the line of best fit is $y = 7.09774x - 402.554$. use the regression to extrapolate the approximate ice cream sales when the temperature is 150 degrees f. \bigcirc 150 degrees f is not a reasonable domain value for the situation, so extrapolation will not be accurate. \bigcirc 862 \bigcirc 150 is not on the graph so extrapolation is not possible. \bigcirc 78 degrees f \bigskip question 7 data is collected for a class of college freshmen comparing their sat scores from high school to their first year gpa for college.

Explanation:

Step1: Evaluate domain reasonableness

A temperature of 150°F is far outside the typical range of July temperatures (which are generally 70-95°F for most regions), so this value is not a reasonable input for the real-world context of ice cream sales.

Step2: Assess extrapolation validity

Extrapolating to such an extreme, unrealistic temperature will not produce an accurate or meaningful estimate of ice cream sales, as the linear relationship is only valid for the reasonable temperature range the data was collected from.

Answer:

150 degrees F is not a reasonable domain value for the situation, so extrapolation will not be accurate.