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Read the following description of a data set. $\newline$ Kristen is a novice cook trying to perfect her baked potato recipe. She decides to put many potatoes in the oven and invites all her friends over. Every few minutes she takes a potato out of the oven and asks some friends to rate its taste on a scale from $1$ to $10$ , where $10$ is excellent.For each taste, Kristen writes down the number of minutes the potato spent in the oven, $x$ , as well as its rating from $1$ to $10$ , $y$ .The least squares regression line of this data set is: $y = 0.133x + 3.684$ $\newline$ Complete the following sentence: $\newline$ For each additional minute a potato spends in the oven, the least squares regression line predicts its rating will increase by $\_\_\_$ .

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Interpret regression lines

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Q. Read the following description of a data set.

\newline

Kristen is a novice cook trying to perfect her baked potato recipe. She decides to put many potatoes in the oven and invites all her friends over. Every few minutes she takes a potato out of the oven and asks some friends to rate its taste on a scale from

1

to

10

, where

10

is excellent.For each taste, Kristen writes down the number of minutes the potato spent in the oven,

x

, as well as its rating from

1

to

10

,

y

.The least squares regression line of this data set is:

y = 0.133x + 3.684

\newline

Complete the following sentence:

\newline

For each additional minute a potato spends in the oven, the least squares regression line predicts its rating will increase by

\_\_\_

.

Identify slope: Identify the slope of the least squares regression line from the given equation $y = 0.133x + 3.684$ . The slope is the coefficient of $x$ , which in this case is $0.133$ .
Interpret slope: Interpret the slope. In the context of the problem, the slope of $0.133$ means that for each additional minute the potato spends in the oven, the predicted increase in the rating is $0.133$ points on the taste scale.

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Complete the following sentence: The least squares regression line predicts that if a person is one year older, they will be able to name

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(A) New Mexico residents

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2.5 \%

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