AnswersEAP-Algebra Functions and Data Analysis A CRLinear Regression Methods

Linear Regression Methods Answers

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

Question illustration
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.
2
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A set of data is collected, pairing the number of games a team plays to the number of errors committed.

Question illustration
A
line a
B
line b
C
line c
D
line d
3

Review the scatterplot shown.

Question illustration
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)
4

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.
5

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

Question illustration
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.
6

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
7

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

Question illustration
A
line a
B
line b
C
line c
D
None of the lines is a good fit for the data.
8

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
9

The table shows the size of outdoor decks (x) in square feet, and the estimated dollar cost to construct them (y).xyx2xy10060010,00060,000144850 20,736122,4002251,300 50,625292,5003241,900 104,976615,6004002,300 160,000920,000∑x=1,193​∑y=6,950∑x2=346,337∑xy=2,010,500Which regression equation correctly models the data?

A
y = 5.83x – 1.04
B
y = 5.83x + 17
C
y = 5.71x + 29
D
y = 5.71x + 27.6
10

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
11

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

Question illustration
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.
12

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.

Question illustration
A
748
B
750
C
809
D
840
13

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?

Question illustration
A
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
14

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

Question illustration
A
line a
B
line b
C
line c
D
line d

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