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Read the following description of a data set. $\newline$ The operator of an electric plant was concerned about the performance of some of its wind turbines.She consulted the manuals to find the rotor diameter of each turbine (in meters), $x$ . Then, on a day with steady wind, she checked the control panel and noted each turbine's power output (in kilowatts), $y$ .The least squares regression line of this data set is: $y = 22.316x - 636.704$ $\newline$ Complete the following sentence: $\newline$ For each additional meter of rotor diameter, the least squares regression line predicts the power output of a turbine would increase by ___ kilowatts.

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Interpret regression lines

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Q. Read the following description of a data set.

\newline

The operator of an electric plant was concerned about the performance of some of its wind turbines.She consulted the manuals to find the rotor diameter of each turbine (in meters),

x

. Then, on a day with steady wind, she checked the control panel and noted each turbine's power output (in kilowatts),

y

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

y = 22.316x - 636.704

\newline

Complete the following sentence:

\newline

For each additional meter of rotor diameter, the least squares regression line predicts the power output of a turbine would increase by ___ kilowatts.

Calculate slope: The equation given is $y = 22.316x - 636.704$ . The slope of the least squares regression line is the coefficient of $x$ , which is $22.316$ .
Interpret slope: In the equation $y = 22.316x - 636.704$ , $x$ represents the rotor diameter of each turbine in meters, and $y$ represents the power output in kilowatts. The slope of $22.316$ indicates that for each one meter increase in rotor diameter, the power output of a turbine will increase by $22.316$ kilowatts.

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x

, and the number of songs each could name,

y

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

y = 0.886x - 23.764

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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Each of these relationships reflects a correlation. Which relationship most likely reflects both correlation and causation?

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

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b

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1

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\frac{30}{60} a+\frac{10}{60} b=24

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\frac{60}{30} a+\frac{60}{10} b=24

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weeks, the ferns are harvested and a new crop is planted. If

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1

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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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1

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(A) New Mexico residents

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(B) Albuquerque, New Mexico residents

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(C) New Mexico residents ages

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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.

\newline

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

\newline

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1

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2.5 \%

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Based on her research, Aria estimates that

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70 \%

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70 \%

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74.5 \%

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3 \mathrm{~kg}

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2 \mathrm{~kg}

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1

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A small accounting firm has

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000

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5^{\text {th }}

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\newline

How will hiring the

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(B) Both the mean and median will decrease, but the mean will decrease by more than the median.

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