AnswersAlgebra 2 - Semester 1 PathwaysRegression Models

Regression Models — Unit test Answers

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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?

Question illustration
A
A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 39, 44. There are 2 dots above 31, 35, 36, 38. There are 3 dots above 41.
Option A
B
A number line going from 25 to 45. There is 1 dot above 26, 28, 29, 33, 44. There are 2 dots above 30, 35, 38. There are 3 dots above 32, 40.
Option B
C
A number line going from 25 to 45. There is 1 dot above 26, 31, 33, 34, 41, 44. There are 2 dots above 30, 35, 37. There are 3 dots above 32, 40.
Option C
D
A number line going from 25 to 45. There is 1 dot above 26, 27, 33, 40, 44. There are 2 dots above 29, 30, 32, 35, 38, 45. There are 3 dots above 39.
Option D
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The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

Question illustration
A
It increases the mean value of the prizes.
B
It decreases the mean value of the prizes.
C
It increases the median value of the prizes.
D
It decreases the median value of the prizes.
23

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?

Question illustration
A
The students in Group A tended to complete the quiz in less time.
B
The median of Group A is greater than the median of Group B.
C
The means of both groups are about the same.
D
The standard deviation of Group B is less than the standard deviation of Group A.
24

The histogram represents the distributions of rain amounts in two cities. Which best explains how the histogram is useful for comparing the shapes of the data sets?

Question illustration
A
It is easier to visually compare the means of the data.
B
It is easier to visually compare the standard deviations of the data.
C
It is easier to visually compare the medians of the data.
D
It is easier to visually compare symmetry and skew of the data.
25

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
26

The graph shows a distribution of data with a standard deviation of 6.

Question illustration
A
It is within 1 standard deviation of the mean.
B
It is within 2 standard deviations of the mean.
C
It is exactly 3 standard deviations from the mean.
D
It is exactly 4 standard deviations from the mean.
27

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
28

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
29

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.
30

The graph shows a distribution of data.

Question illustration
A
The data has a standard deviation of 0.1.
B
The mean of the data is greater than 0.5.
C
A value of 0.7 is within 1 standard deviation of the mean.
D
A value of 0.9 is more than 2 standard deviations from the mean.
31

A group of 120 people were asked whether their income level is above or below $25,000 and whether they subscribe to a movie channel. The data from the survey is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table.

Question illustration
A
a = 18, b = 34, c = 65
B
a = 34, b = 18, c = 68
C
a = 34, b = 68, c = 47
D
a = 47, b = 18, c = 68
32

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

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