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Read the following description of a data set. $\newline$ A state's Department of Education is planning to change some school district boundaries to alleviate overcrowding at certain campuses. As a first step, the department put together a report on a sample of towns in the state.For each town in the sample, the report recorded its population (in thousands), $x$ , and its number of schools, $y$ .The least squares regression line of this data set is: $y = 0.122x - 3.426$ $\newline$ Complete the following sentence: $\newline$ If a town had one thousand more people, the least squares regression line predicts that it would have $\_$ more schools.

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Interpret regression lines

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Q. Read the following description of a data set.

\newline

A state's Department of Education is planning to change some school district boundaries to alleviate overcrowding at certain campuses. As a first step, the department put together a report on a sample of towns in the state.For each town in the sample, the report recorded its population (in thousands),

x

, and its number of schools,

y

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

y = 0.122x - 3.426

\newline

Complete the following sentence:

\newline

If a town had one thousand more people, the least squares regression line predicts that it would have

\_

more schools.

Analyze Equation: Analyze the given regression equation $y = 0.122x - 3.426$ . Here, the coefficient of $x$ , which is $0.122$ , represents the slope of the line. This slope indicates the change in the number of schools for each thousand-person increase in the town's population.
Calculate School Increase: To find out how many more schools a town would have if its population increased by $1000$ , we use the slope of the regression line. Since the slope is $0.122$ , this means that for every thousand additional people, the number of schools increases by $0.122$ .

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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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\text{(A)Taking your temperature more often is associated with using more cough drops.}

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170-20 c=5

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170+20 c=5

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170-15 c=5

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(A) New Mexico residents

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(B) Albuquerque, New Mexico residents

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(A) Survey every fifth student to enter the school library.

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

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(C) Survey every fifth senior to arrive at school one morning.

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2.5 \%

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74.5 \%

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