Unit Test — Cumulative exam Answers

1

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Georgianna wants to use the linear model associated with the data in the table to make a prediction.

A

0 to 5 minutes

B

0 to 18 minutes

C

0 to 30 minutes

D

18 to 30 minutes

2

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The table shows the number of calories in four meals and the cost of each meal.

A

a weak positive correlation

B

a strong positive correlation

C

a weak negative correlation

D

a strong negative correlation

3

The scatterplot represents the total fee for hours renting a bike. The line of best fit for the data is y = 6.855x + 10.215.Which table shows the correct residual values for the data set?

A

A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, 1.22, 1.315, negative 1.99.

B

A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, negative 1.22, negative 1.315, 1.99.

C

A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, 1.22, negative 1.315, 1.99.

D

A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.

4

A conditional relative frequency table is generated by row from a set of data. The conditional relative frequencies of the two categorical variables are then compared.

A

There is likely an association between the categorical variables because the relative frequencies are similar in value.

B

An association cannot be determined between the categorical variables because the relative frequencies are similar in value.

C

An association cannot be determined between the categorical variables because the relative frequencies are not similar in value.

D

There is likely an association between the categorical variables because the relative frequencies are both close to 0.50.

5

Which could be a conditional relative frequency table?

A

A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.25, 0.25, 0.50. The third column is labeled B with entries 0.25, 0.25, 0.50. The fourth column is labeled total with entries 0.50, 0.50, 1.0.

B

A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.25, 0.35, 0.30. The third column is labeled B with entries 0.75, 0.65, 0.70. The fourth column is labeled total with entries 1.0, 1.0, 1.0.

C

A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.75, 0.25, 0.50. The third column is labeled B with entries 0.25, 0.75, 0.50. The fourth column is labeled total with entries 0.50, 0.50, 1.0.

D

A 4-column table with 3 rows. The first column has no label with entries C, D, total. The second column is labeled A with entries 0.65, 0.35, 1.0. The third column is labeled B with entries 0.35, 0.65, 1.0. The fourth column is labeled total with entries 1.0, 1.0, 1.0.

6

The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of miles traveled in one day.

A

Each point in the data set falls on the regression line.

B

The regression model is an accurate representation of the distance for any number of hours hiked.

C

Each point in the data set is near the regression line.

D

The regression model is inaccurate, as it does not begin at (0, 0).

7

The graph represents the distribution of the number of questions answered correctly on a 50-question math test.

A

4

B

8

C

12

D

24

8

The box plots compare the exam scores of Ms. Dobson’s class to the rest of the students who took the test in the district.Which statement is true about the box plots? Select three options.Ms. Dobson’s class has a smaller range of scores.The district has a greater interquartile range.Fifteen is an outlier for the district’s scores.One hundred is an outlier for the district’s scores.In general, the district’s scores were better than those of Ms. Dobson’s class.

A

Ms. Dobson’s class has a smaller range of scores.

B

The district has a greater interquartile range.

C

Fifteen is an outlier for the district’s scores.

D

One hundred is an outlier for the district’s scores.

E

In general, the district’s scores were better than those of Ms. Dobson’s class.

9

The dot plot represents the amount of rain recorded by rain gauges in different locations around a city.

A

2

B

8

C

11

D

16

10

Melissa collected the data in the table.

A

–3

B

–1

C

1

D

3

11

The data set represents the total number of tickets each person purchased for a play.0, 0, 1, 1, 1, 2, 2, 2, 4, 4What is the median of the data?

A

1

B

1.5

C

2

D

2.5

12

Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about acceleration due to gravity. The program reports =31.5 and .What is the variance of the data? Round to the nearest tenth.

A

1.6

B

2.5

C

5.6

D

6.3

13

The dot plot shows the number of words students spelled correctly on a pre-test.

A

The graph is skewed right.

B

The graph is nearly symmetrical.

C

The graph is skewed left.

D

The graph is perfectly symmetrical.

14

A relative frequency table is made from data in a frequency table.

A

25%

B

33%

C

63%

D

68%

15

Which graph shows data whose r-value is most likely closest to 1?

A

A graph shows both axes unnumbered. Points show a downward trend.

B

A graph shows both axes unnumbered. Points show an upward trend.

C

A graph shows both axes unnumbered. Points show a downward trend.

D

A graph shows both axes unnumbered. Points are scattered all over the graph.

16

Which values are correct? Select three options.

A

a = 15

B

b = 18

C

c = 23

D

d = 35

E

e = 31

17

Justin packed two suitcases for his trip and compared the weights of the items he packed in each of the suitcases.Which statement is true about the box plots?