Question

given is the data for temperature vs ice cream sales for a shop in july of 2023. 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\\) 662 \\(\bigcirc\\) 150 is not on the graph so extrapolation is not possible. \\(\bigcirc\\) 78 degrees f

Explanation:

A temperature of 150 degrees F is an extreme, unrealistic value for a natural outdoor temperature (where ice cream is sold), so extrapolating the linear model to this value will not produce a meaningful or accurate sales figure. The other options are incorrect: calculating $y=7.0974(150)-403.554=662$ is mathematically possible but contextually invalid, and extrapolation is mathematically possible but not reasonable here, while 73 degrees F is irrelevant to the question.

Answer:

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