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Read the following description of a data set. $\newline$ On most days Larry takes his lunch break in the park near his office. While sitting on the park bench, he scatters seeds for the pigeons and wonders how many pigeons will come.He decided to keep track of both the number of seed packages he scatters for the pigeons, $x$ , and the number of pigeons that come, $y$ .The least squares regression line of this data set is: $y = 3.564x - 6.172$ $\newline$ Complete the following sentence: $\newline$ If Larry scattered one additional seed package, the least squares regression line predicts that $\_\_$ additional pigeons would come.

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Interpret regression lines

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Q. Read the following description of a data set.

\newline

On most days Larry takes his lunch break in the park near his office. While sitting on the park bench, he scatters seeds for the pigeons and wonders how many pigeons will come.He decided to keep track of both the number of seed packages he scatters for the pigeons,

x

, and the number of pigeons that come,

y

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

y = 3.564x - 6.172

\newline

Complete the following sentence:

\newline

If Larry scattered one additional seed package, the least squares regression line predicts that

\_\_

additional pigeons would come.

Calculate slope: The equation given is $y = 3.564x - 6.172$ . The slope of the least squares regression line is the coefficient of $x$ , which is $3.564$ .
Interpret slope meaning: In the equation $y = 3.564x - 6.172$ , $x$ represents the number of seed packages Larry scatters, and $y$ represents the number of pigeons that come. The slope of $3.564$ indicates that for each one seed package increase, the number of pigeons that come will increase by $3.564$ .

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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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170-20 c=5

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170+20 c=5

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(A) New Mexico residents

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(B) Albuquerque, New Mexico residents

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(B) Survey every fifth student to arrive at school one morning.

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2 \mathrm{~kg}

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