AnswersEAP-Algebra Functions and Data Analysis A CRLinear Regression Methods

Linear Regression Methods Answers

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The scatterplot contains data points, showing the number of hours a coffee shop is open (x) and the number of customers served (y).

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Review the scatterplot shown.

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A
(2, 53), (5, 70), and (7, 80)
B
(7, 80), (8, 85), and (9, 90)
C
(1, 47), (2, 53), and (3, 61)
D
(2, 60), (5, 80), and (8, 90)
3

The data reflects the number of days since a plant has been transplanted (x), paired with the plant height (y).

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A
Every 0.07 days the plant grows 0.81 inches.
B
Every 0.81 days the plant grows 0.07 inches.
C
Initially, the plant had a height of 0.07 inches.
D
Initially, the plant had a height of 0.81 inches.
4

A scatterplot includes data showing the relationship between the value of a painting and the age of the painting.Which graph displays the line of best fit for the data?

A
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is too steep.
Option A
B
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is not steep enough.
Option B
C
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit is not steep enough.
Option C
D
A graph has age (years) on the x-axis and value (dollars) on the y-axis. A line with best fit goes through the points.
Option D
5

A set of data is collected, pairing family size with average monthly cost of groceries.

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None of the lines is a good fit for the data.
6

Which is a correct step when using the median-fit method for modeling data?

A
Use the median value of y-intercepts found.
B
Calculate slope using the right and middle points.
C
Determine three y-intercepts by using each summary point along with the slope.
D
Determine the median of the x-values and the median of the y-values.
7

The data reflects the distance traveled (x), paired with time spent running (y).

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A
Every 9 minutes, an additional mile is traveled.
B
Every 9.3 minutes, an additional mile is traveled.
C
Each runner travels an average of 9.3 miles.
D
Each runner travels an average of 9 miles.
8

The table shows data from local day-care centers, representing the number of children in attendance (x) and daily food costs in dollars (y).xyx2xy1645256720 2258 484 1,2762873 7842,044 3294 1,0243,008 45141 2,025 6,345 ∑x=143 ∑y=411 ∑x2=4,573 ∑xy=13,393 Which regression equation correctly models the data?

A
y = 2.87x + 0.12
B
y = 2.87x + 11.85
C
y = 3.39x – 14.75
D
y = 3.39x – 9.24
9

The table shows data from a party planner, representing the number of people at an event (x) and the total dollar cost to host the event (y).When using the median-fit method with summary points (75, 2,100), (140, 3,100), and (200, 4,200), what is the approximate y-intercept of the best-fit model? Round to the nearest whole number if necessary.

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A
748
B
750
C
809
D
840
10

The data reflects the amount of time spent on homework (x), paired with a corresponding test grade (y).

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A
The minimum time spent on homework is approximately 72 hours.
B
The average time spent on homework is approximately 7.9 hours.
C
If no time is spent on homework, the test grade is approximately 72.
D
If no time is spent on homework, the test grade is approximately 7.9.
11

The data reflects the relationship between the number of minutes spent reading (x) and the number of words read (y).

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A
Every 98 words requires 312 minutes to read.
B
Every 312 words requires 98 minutes to read.
C
In each additional minute, approximately 98 more words are read.
D
In each additional minute, approximately 312 more words are read.
12

The table shows data from local cable companies, representing the number of channels offered (x) and monthly dollar cost of service (y).xyx2xy1156513,2257,4751227214,8848,7841288516,38410,8801328717,42411,4841359518,22512,825∑x=632​∑y=404∑x2=80,142∑xy=51,448Which regression equation correctly models the data?

A
y = 1.49x – 107.5
B
y = 1.49x – 106.4
C
y = 0.64x – 8.6
D
y = 0.64x – 0.1
13

A set of data is collected, pairing the number of games a team plays to the number of errors committed.

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The table shows data from a concession stand, representing weekly sales (x) in dollars and profit (y) in dollars.When using the median-fit method with summary points (1,485, 905), (1,950, 1,175), and (2,535, 1,535), what is the approximate slope of the best-fit model?

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StartFraction 18 Over 31 EndFraction
Option A
B
Three-fifths
Option B
C
Five-thirds
Option C
D
StartFraction 31 Over 18 EndFraction
Option D
15

A scatterplot contains data showing the relationship between number of football games played and total number of rushing yards.Which graph displays the line of best fit for the data?

A
A graph has games on the x-axis and total rushing yards on the y-axis. A line of best fit goes through the points.
Option A
B
A graph has games on the x-axis and total rushing yards on the y-axis. A line of best fit is not steep enough.
Option B
C
A graph has games on the x-axis and total rushing yards on the y-axis. A line of best fit starts around (1, 0) instead of (0, 0) where the points begin.
Option C
D
A graph has games on the x-axis and total rushing yards on the y-axis. A line of best fit is horizontal and does not go through the points.
Option D

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