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Read the following description of a data set. $\newline$ 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: $y = 0.113x + 12.065$ $\newline$ Complete the following sentence: $\newline$ The least squares regression line predicts that if a person is one year older, they will be able to name $\_\_$ more songs.

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Interpret regression lines

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Q. Read the following description of a data set.

\newline

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 = 0.113x + 12.065

\newline

Complete the following sentence:

\newline

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

\_\_

more songs.

Identify slope of regression line: Identify the slope of the least squares regression line from the given equation $y = 0.113x + 12.065$ . The slope is the coefficient of $x$ , which in this case is $0.113$ .
Interpret slope: Interpret the slope. The slope of $0.113$ indicates that for each one year increase in age, a person will be able to name $0.113$ more songs according to the least squares regression line.

More problems from Interpret regression lines

Question

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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A large truck, traveling

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b

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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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60 \cdot 30 a+60 \cdot 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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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

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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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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.

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(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 \%

of the current population leaves Littleroot Town.

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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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(D) Each year, a constant number of people leave Littleroot Town.

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Based on her research, Aria estimates that

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\newline

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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of the students at Aria's college work while they're in school.

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A zookeeper weighs her animals once a month and compares their weights to the previous month.

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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

58

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5^{\text {th }}

accountant who earns

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How will hiring the

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

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

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