Linear Regression Methods — Test Answers

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1
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The data reflects the number of tomato plants planted (x), paired with the number of jars of canned tomatoes (y).

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A
Every additional tomato plant yields an additional 10.2 jars of canned tomatoes.
B
Every additional tomato plant yields an additional 0.26 jars of canned tomatoes.
C
Each jar of canned tomatoes requires 10.2 tomato plants.
D
Each jar of canned tomatoes requires 0.26 tomato plants.
2
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The table shows data from a local landscaper, estimating the area of flower gardens (x) in square feet, and the dollar cost to install them (y).xy5751012012130141401515018160201752520030240

A
y = 5.33x + 67.78
B
y = 5.94x + 70.00
C
y = 6.00x + 56.67
D
y = 6.00x + 60.00
3

The scatterplot contains data points, pairing average monthly temperature (x) and monthly energy cost (y).

Question illustration
A
line a
B
line b
C
line c
D
line d
4

The table shows data from a stadium concession stand, representing average temperature (x) in degrees Fahrenheit and the number of popsicles sold (y).

Question illustration
A
y = 0.60x – 17
B
y = 0.60x – 0.16
C
y = 2.09x – 114
D
y = 2.09x – 120
5

A line of best fit is drawn for the set of points shown on the graph.

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A
(23, 30)
B
(30, 38)
C
(44, 30)
D
(30, 72)
6

The graph shows the relationship between the price of frozen yogurt and the number of ounces of frozen yogurt sold at different stores and restaurants.

Question illustration
A
1.5
B
2
C
13
D
15.5
7

The table shows the height, in meters, of an object that is dropped as time passes until the object hits the ground.A line of best fit for the data is represented by h = –21.962x + 114.655. Which statement compares the line of best fit with the actual data given by the table?

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A
According to the line of best fit, the object would have hit the ground 0.6 seconds later than the actual time the object hit the ground.
B
According to the line of best fit, the object was dropped from a lower height.
C
The line of best fit correctly predicts that the object reaches a height of 40 meters after 3.5 seconds.
D
The line of best fit predicts a height of 4 meters greater than the actual height for any time given in the table.
8

The equation for the line of best fit is f(x) ≈ 1.8x − 5.4 for the set of values in the table.

Question illustration
A
14
B
20
C
45
D
54

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