Unit Test — Unit test Answers

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

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A
y = ax + b
B
y = ax2 + b
C
y = abx
D
y = a + bx
3

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)
4

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.
5

The table shows the value of a savings bond that doubles in value after 5 years.

Question illustration
A
The bond has an original value of $57.70 and grows at a rate of 15%.
B
The bond has an original value of $57.50 and grows at a rate of 85%.
C
The bond had an original value of $50 and grows at a rate of 15%.
D
The bond has an original value of $50 and grows at a rate of 85%.
7

A graph with both axes numbered 1 to 10. A line increases from 1 to 3 then decreases from 3 to 5.

Question illustration
A
f(x) = 2(x – 5)(x – 1)
B
f(x) = –2(x – 5)(x – 1)
C
f(x) = 2(x + 5)(x + 1)
D
f(x) = –2(x + 5)(x + 1)
8

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
9

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

Question illustration
T
The graph of the regression model is limited to whole-number values for x.
T
The graph of the regression model is limited to whole-number values for y.
T
The graph of the regression model cannot be used to approximate the population size for year 1.
T
The graph of the regression model can be used to predict the population size for any number of years in the future.
10

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
12

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
15

Consider the plot created from the residuals of a line of best fit for a set of data.

Question illustration
A
Yes, the points have no pattern.
B
No, the points are evenly distributed about the x-axis.
C
No, the points are in a linear pattern.
D
Yes, the points are in a curved pattern.

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