Answers26-27 CFISD Algebra II B CRRegression Models

Regression Models — Unit test Answers

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1
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A line of best fit is drawn for the set of points shown on the graph.

Question illustration
A
(23, 30)
B
(30, 38)
C
(44, 30)
D
(30, 72)
2
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Drew creates a table of ordered pairs representing the width and area of a dog pen.

Question illustration
A
Drew has 36 feet of fencing and wants to represent the possible areas of the dog pen for possible widths.
B
Drew has a maximum of 81 feet of fencing to use around the pen, and the length must be twice the width.
C
Drew is building a rectangular dog pen with a length that is up to 4 feet more than the width and has a perimeter of at least 77 feet.
D
Drew wants to build a dog pen that is between 7 feet and 11 feet in width and uses, at most, 18 feet of fencing.
3

Which best describes the strength of the model with an r-value of –0.93?

A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
4

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
5

The graph shows the exponential regression model for data representing a rabbit population after x years.

Question illustration
A
The graph of the regression model is limited to whole-number values for x.
B
The graph of the regression model is limited to whole-number values for y.
C
The graph of the regression model cannot be used to approximate the population size for year 1.
D
The graph of the regression model can be used to predict the population size for any number of years in the future.
6

The table shows the average number of hours of daylight per day for the last four months of the year.

Question illustration
A
–0.993
B
–0.791
C
0.791
D
0.993
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?

Question illustration
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 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
9

The table shows the approximate height of an object x seconds after the object was dropped. The function h(x) = –16x2 + 100 models the data in the table.

Question illustration
A
–2.75
B
0.25
C
1.75
D
2.25
10

The table shows a company’s profit based on the number of pounds of food produced.

Question illustration
A
$5,150
B
$5,300
C
$10,150
D
$11,000
11

The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and found that it could be modeled using the equation f(x) = –0.3x2 + 2x, where f(x) is the height of the path of the water above the ground, in feet, and x is the horizontal distance of the path of the water from the end of the hose, in feet.

A
3.2 feet
B
4.8 feet
C
5.6 feet
D
6.8 feet
12

The table shows the shoe sizes of women of different ages.

Question illustration
A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
13

The data in the table represents the predicted price of a gallon of milk, y, for number of years, x.

Question illustration
A
y = ax + b
B
y = ax2 + b
C
y = abx
D
y = a + bx
14

The table shows the height of a candle as it is continuously burned.

Question illustration
A
The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.
B
The candle starts at a height of 25 centimeters and burns at a rate of 2.5 centimeters per hour.
C
The candle starts at a height of 22.5 centimeters and burns at a rate of 0.625 centimeters per hour.
D
The candle starts at a height of 22.5 centimeters and burns at a rate of 2.5 centimeters per hour.
15

A graph shows the horizontal axis numbered 1 to 5 and the vertical axis numbered 1 to 5. Points and a line show a downward trend.

Question illustration
A
–0.83
B
–0.21
C
0.21
D
0.83

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Regression Models — Unit test Answers — 26-27…