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Read the following description of a data set. $\newline$ A team of forestry specialists from the Howard lumber company visited a section of the forest that was going to be logged for timber. They took measurements to evaluate the health and growth of trees in the area.The team counted the number of rings on several trees to find their ages (in years), $x$ . They also measured the diameter of these trees (in meters), $y$ .The least squares regression line of this data set is: $y = 0.015x + 0.388$ $\newline$ Complete the following sentence: $\newline$ If a tree were one year older, the least squares regression line predicts that its diameter would be $\_\_$ meters larger.

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Interpret regression lines

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Q. Read the following description of a data set.

\newline

A team of forestry specialists from the Howard lumber company visited a section of the forest that was going to be logged for timber. They took measurements to evaluate the health and growth of trees in the area.The team counted the number of rings on several trees to find their ages (in years),

x

. They also measured the diameter of these trees (in meters),

y

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

y = 0.015x + 0.388

\newline

Complete the following sentence:

\newline

If a tree were one year older, the least squares regression line predicts that its diameter would be

\_\_

meters larger.

Identify slope: Identify the slope of the least squares regression line. The equation given is $y = 0.015x + 0.388$ . The slope of the least squares regression line is the coefficient of $x$ , which is $0.015$ . This slope indicates the change in the diameter of the tree ( $y$ ) for each one year increase in the age of the tree ( $x$ ).
Interpret slope: Interpret the slope in the context of the problem. Since the slope is $0.015$ , this means that for each one year increase in age, the diameter of the tree is predicted to increase by $0.015$ meters.

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Read the following description of a data set. Rod Diamond is a singer who appeals to an older demographic. For a comedy segment on a late night show, he asked random people on the street how old they were and how many of his songs they could name, if any. Rod noted the age of each person he spoke with,

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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\text{(B)Having colds more often is associated with using more tissues.}

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A large truck, traveling

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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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30 a+10 b=24

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Phytoremediation is the use of plant growth to purify pollutants from soil, water, or air. Suppose that a crop of brake ferns can remove

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20

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

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per square meter of the pollutant down to healthy levels of

5 \mathrm{mg}

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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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170+15 c=5

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Vicente surveyed a random sample of New Mexico residents ages

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24

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1

\newline

(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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(D) Albuquerque, New Mexico residents ages

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A writer for a high school newspaper is conducting a survey to estimate the number of students that will vote for a particular candidate in an upcoming student government election. All students at the high school are eligible to vote in the election, and the writer decides to select a sample of students to take the survey. Which of the following sampling methods is most likely to produce valid results?

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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.

\newline

(D) Survey every fifth student to enter the school stadium for a football game

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In which of the following scenarios can the decline of Littleroot Town's population be described as linear?

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1

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2.5 \%

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(B) Each year, an increasing number of people leave Littleroot Town.

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(C) Each year, a decreasing number of people leave Littleroot Town.

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Based on her research, Aria estimates that

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1

\newline

70 \%

80 \%

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70 \%

75 \%

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72.5 \%

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74.5 \%

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3 \mathrm{~kg}

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2 \mathrm{~kg}

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The penguin gained

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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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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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(C) The mean will decrease, and the median will increase.

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