Question
Read the following description of a data set.
Monica wants to figure out how long it usually takes to get through a supermarket checkout line. For several weeks, she observed the checkout lines she waited in.
Monica counted how many people were ahead of her in each line she joined, x, and how many minutes it took her to get to the front of that line, y.
The least squares regression line of this data set is:
y= 3.577x + 10.761
How long does this line predict Monica would have to wait if there were 2 people ahead of her?
Round your answer to the nearest integer.
minutes
Monica wants to figure out how long it usually takes to get through a supermarket checkout line. For several weeks, she observed the checkout lines she waited in.
Monica counted how many people were ahead of her in each line she joined, x, and how many minutes it took her to get to the front of that line, y.
The least squares regression line of this data set is:
y= 3.577x + 10.761
How long does this line predict Monica would have to wait if there were 2 people ahead of her?
Round your answer to the nearest integer.
minutes
Answers
GPT 3.5
According to the regression line formula given, if there were 2 people ahead of Monica, the predicted wait time would be:
y = 3.577(2) + 10.761
y = 7.154 + 10.761
y ≈ 17.915
Rounded to the nearest integer, the predicted wait time would be 18 minutes.
y = 3.577(2) + 10.761
y = 7.154 + 10.761
y ≈ 17.915
Rounded to the nearest integer, the predicted wait time would be 18 minutes.
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