AnswersAcademy - Algebra Functions and Data AnalysisUnit Test

Unit Test Answers

15 verified answers
1
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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.

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3.2 feet
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4.8 feet
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5.6 feet
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6.8 feet
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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.

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–2.75
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0.25
1
1.75
2
2.25
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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.

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–0.83
–
–0.21
0
0.21
0
0.83
4

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

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

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The data point for x = 1 is above the line of best fit.
T
The residual value for x = 3 should be a positive number because the data point is above the line of best fit.
F
Fiona made a subtraction error when she computed the residual value for x = 4.
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The residual value for x = 2 should be a positive number because the given point is above the line of best fit.
T
The residual value for x = 3 is negative because the given point is below the line of best fit.
6

best

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I
It is easier to visually compare the means of the data.
I
It is easier to visually compare the standard deviations of the data.
I
It is easier to visually compare the medians of the data.
I
It is easier to visually compare symmetry and skew of the data.
7

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

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1
14
2
20
4
45
5
54
8

The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.Which statement is true about the data?

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The mean of Box A is greater than the mean of Box B.
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The mean of Box B is greater than the mean of Box A.
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The median of Box A is greater than the median of Box B.
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The median of Box B is greater than the median of Box A.
9

The histogram represents the daily low and high temperatures in a city during March. Which comparison of the distributions is true?

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The distribution of low temperatures is nearly symmetric, and the distribution of high temperatures is nearly symmetric.
T
The distribution of low temperatures is skewed right, and the distribution of high temperatures is nearly symmetric.
T
The distribution of low temperatures is nearly symmetric, and the distribution of high temperatures is skewed right.
T
The distribution of low temperatures is skewed right, and the distribution of high temperatures is skewed right.
10

two

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The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
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The equation for the line of best fit is a good approximation for the data because the points are random, having no pattern.
T
The residual plot has a linear pattern.
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The points of the residual plot are spread evenly above and below the x-axis.
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The residual plot has the pattern of a curve.
11

The histogram below shows the estimated monthly salaries of company employees with different years of experience. How might the graph be misleading?

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The scale on the y-axis overemphasizes the difference in salaries between different experience levels.
T
The scale on the y-axis underemphasizes the difference in salaries between different experience levels.
T
The scale on the x-axis overemphasizes the difference in salaries between different experience levels.
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The scale on the x-axis underemphasizes the difference in salaries between different experience levels.
12

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza. Which dot plot could represent the same data as the frequency table?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.6, 14, 6, 18, 9, 9, 12, 10, 11, 15 Which statement is true about the number of books packed to a box?

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The median number of books to a box is 8.
T
The median number of books to a box is 9.
T
The mean number of books to a box is 11.
T
The mean number of books to a box is 12.
14

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

Question illustration
(
(23, 30)
(
(30, 38)
(
(44, 30)
(
(30, 72)
15

Ms. Barnsley separates her class into two groups. She gives each student the same 25-question math quiz. Group A uses a calculator, while Group B does not. The table shows the completion times, in minutes, of students in each group. Which statement is true about the distributions of completion times?

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The students in Group A tended to complete the quiz in less time.
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The median of Group A is greater than the median of Group B.
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The means of both groups are about the same.
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The standard deviation of Group B is less than the standard deviation of Group A.

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