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).

Question illustration
A
line a
B
line b
C
line c
D
line d
2
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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)
3

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.
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.

Question illustration
A
line a
B
line b
C
line c
D
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).

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.
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.

Question illustration
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).

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.

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