Unit Test — Unit test Answers

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The ideal weight (in stones) of people of varying heights is given in the table below. Draw a scatter plot for the data. Height (feet/inches) 5 ft 0” 5 ft 1” 5 ft 2” 5 ft 3” 5 ft 4” 5 ft 5” Weight (stones) 9.1 9.5 9.8 10 10.4 10.8 a. c. b. d. Please select the best answer from the choices provided

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A
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C
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D
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What are some limitations in using a line of best fit drawn on a scatter plot to make predictions?a.There may be too much information given on the scatter plot.b.The line may represent a negative or positive correlation.c.It is possible to draw different lines to approximate the same data. The line of best fit is only an estimate.d.The axes of the scatter plot may be labeled incorrectly.

A
A
B
B
C
C
D
D
3

Suppose there is a relationship between independent and dependent variables represented by a scatterplot. Which statement is correct?

A
The independent variable influences change in the dependent variable only if the points on the scatterplot go up from left to right.
B
The independent variable influences change in the dependent variable whether the points on the scatterplot go up or down from left to right.
C
The dependent variable influences change in the independent variable only if the points on the scatterplot go up from left to right.
D
The dependent variable influences change in the independent variable whether the points on the scatterplot go up or down from left to right.
4

Wyatt wants to study the relationship between the number of siblings that a student has and the student’s grade-point average using a scatterplot. He believes that if the points form a straight line, then there is a relationship between the two variables. Which scatterplot proves that Wyatt’s statement is not always true?

A
A graph titled Number of Siblings versus Grade-Point Average has Number of Siblings on the x-axis and Grade-point average on the y-axis. Points are at (1, 4), (2, 3), (3, 2), (4, 1).
Option A
B
A graph titled Number of Siblings versus Grade-Point Average has Number of Siblings on the x-axis and Grade-point average on the y-axis. Points are at (1, 3), (2, 3), (3, 3), (4, 3).
Option B
C
A graph titled Number of Siblings versus Grade-Point Average has Number of Siblings on the x-axis and Grade-point average on the y-axis. Points are at (1, 4), (2, 3), (3, 4), and (4, 3).
Option C
D
A graph titled Number of Siblings versus Grade-Point Average has Number of Siblings on the x-axis and Grade-point average on the y-axis. Points are at (1, 1), (2, 2), (3, 3), (4, 4).
Option D
5

The scatterplot below was created from a table of values and represents the relationship between the number of seconds spent doing sit-ups and the number of sit-ups completed for some of the members of a physical education class. Assuming that none of the data points overlap and that all the data points were plotted, how many data points were in the table?

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5
B
6
C
7
D
8
6

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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A
–0.83
B
–0.21
C
0.21
D
0.83
7

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)
8

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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14
B
20
C
45
D
54
9

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.
10

The table below gives a record of variations of the values of y with the values of x. Draw a scatter plot for the data. x 0.4 1.2 2.0 3.1 4.5 5.7 7.1 8.4 9.3 9.8 y 7.8 7.1 6.8 6.0 5.2 4.3 3.4 2.3 1.1 0.5 a. c. b. d. Please select the best answer from the choices provided

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A
B
B
C
C
D
D
11

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.

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1.5
B
2
C
13
D
15.5
12

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
13

Which describes a correct way to construct a scatterplot?

A
When analyzing the number of home runs that a baseball player hit over several seasons, the season is the independent variable.
B
When analyzing the number of umbrellas that are sold during days with varying amounts of rain, the number of umbrellas that are sold is the independent variable.
C
When analyzing the number of registered voters by age, age is the dependent variable.
D
When analyzing the number of students that ride the school bus each day of the week, the day is the dependent variable.
14

The table below indicates the variation in the arm span of a person with respect to height. Draw a scatter plot for the data. Arm Span (cm) 156 160 165 170 170 173 177 184 188 194 196 200 Height (cm) 162 155 166 170 167 185 173 180 188 193 184 186 a. c. b. d. Please select the best answer from the choices provided

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A
B
B
C
C
D
D
15

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

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A
–0.993
B
–0.791
C
0.791
D
0.993

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