Problem

The high temperature (in degrees Fahrenheit), x, and the ice cream sales for a local store, y, are related by the regression line equation y=8.791x392.966.

Find the amount of sales predicted by the model if the high temperature is x=94F. Give your answer as a monetary amount rounded to the nearest cent.
$238.39
$832.39
$233.39
$433.39

Answer

Expert–verified
Hide Steps
Answer

Final Answer: The predicted sales when the temperature is 94 degrees Fahrenheit is approximately 433.39 dollars.

Steps

Step 1 :Given the regression line equation y=8.791x392.966, where x is the high temperature in degrees Fahrenheit and y is the ice cream sales for a local store.

Step 2 :We are asked to find the predicted sales when the high temperature is 94 degrees Fahrenheit. This can be found by substituting x=94 into the regression line equation.

Step 3 :Substituting x=94 into the equation gives y=8.791(94)392.966.

Step 4 :Solving the equation gives y=433.38800000000003.

Step 5 :Rounding to the nearest cent gives y=433.39.

Step 6 :Final Answer: The predicted sales when the temperature is 94 degrees Fahrenheit is approximately 433.39 dollars.

link_gpt