AnswersCommon Core Algebra I - MA3109 B-CR 4Q 0.25 credit due 1029 or will be grade of FLine of Best Fit

Line of Best Fit — Unit test Answers

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The chart represents a data set’s given values, predicted values (using a line of best fit for the data), and residual values.

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A
g = 2 and h = –1
B
g = 28 and h = 39
C
g = –2 and h = 1
D
g = –28 and h = –39
2
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Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data.How does the word count of an essay relate to its score in the contest?

Question illustration
A
Word count tends to decrease as the score decreases.
B
Word count tends to increase as the score decreases.
C
Word count tends to remain constant as the score decreases.
D
Word count has no apparent relationship to the score of the essay.
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?

Question illustration
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.
Option A
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.
Option B
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.
Option C
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.
Option D
4

Kira looked through online census information to determine the average number of people living in the homes in her city. What is true about Kira’s data collection?

A
Kira used an observational study where the data is qualitative.
B
Kira used an observational study where the data is quantitative.
C
Kira used published data that is qualitative.
D
Kira used published data that is quantitative.
5

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

Question illustration
A
a weak positive correlation
B
a strong positive correlation
C
a weak negative correlation
D
a strong negative correlation
6

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?

Question illustration
A
The data for suitcase 1 have an outlier, but the data for suitcase 2 does not.
B
The data for suitcase 2 have a greater median than the data for suitcase 1.
C
The data for suitcase 1 has a greater interquartile range than the data for suitcase 2.
D
The data for suitcase 2 has a greater range than the data for suitcase 1.
7

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.

Question illustration
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.
8

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

Question illustration
A
2
B
8
C
11
D
16
9

Which values are correct? Select three options.

A
a = 15
B
b = 18
C
c = 23
D
d = 35
E
e = 31
10

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

Question illustration
A
25%
B
33%
C
63%
D
68%
11

Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph.

Question illustration
A
10%
B
20%
C
80%
D
100%
12

Which phrases describe the relationship between heart rate and daily intake of caffeine? Select two options.

A
negative correlation
B
increasing heart rate
C
constant correlation
D
positive correlation
E
decreasing heart rate
13

The team mascot shoots a rolled T-shirt from a special T-shirt cannon to a section of people in the stands at a basketball game. The T-shirt starts at a height of 8 feet when it leaves the cannon and 1 second later reaches a maximum height of 24 feet before coming back down to a lucky winner.

A
f(t) = –16(t – 1)2 + 24
B
f(t) = –16(t + 1)2 + 24
C
f(t) = –16(t – 1)2 – 24
D
f(t) = –16(t + 1)2 – 24
14

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.
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.
Option A
B
A graph shows both axes unnumbered. Points show an upward trend.
Option B
C
A graph shows both axes unnumbered. Points show a downward trend.
Option C
D
A graph shows both axes unnumbered. Points are scattered all over the graph.
Option D
16

The frequency table shows the results of a survey comparing the number of beach towels sold for full price and at a discount during each of the three summer months.The store owner converts the frequency table to a conditional relative frequency table by row.Which value should he use for X? Round to the nearest hundredth.

Question illustration
A
0.89
B
0.90
C
0.92
D
0.96
17

Alejandro wants to determine the average shoe size of all of the male students in his school. Which sample is likely to yield the most biased results?

A
every tenth boy on the school’s phone list
B
every member of the boys’ basketball team
C
every boy in a randomly selected ninth-, tenth-, eleventh-, and twelfth-grade gym class
D
every fifth boy who walks through the front doors of the school in the morning
18

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

Question illustration
A
The graph is skewed right.
B
The graph is nearly symmetrical.
C
The graph is skewed left.
D
The graph is perfectly symmetrical.
19

Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the race. The table shows the lap times, in seconds, for three days of practice.Which histogram represents Blanca’s lap times for the three days of practice?

Question illustration
A
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.
Option A
B
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 5 laps were 88 to 90 seconds. 5 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 3 laps were 94 to 96 seconds. 1 lap was 96 to 98 seconds.
Option B
C
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 3 laps were 84 to 86 seconds. 3 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 4 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 1 lap was 96 to 98 laps.
Option C
D
A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and number of laps on the vertical axis. 1 lap was 82 to 84 seconds. 4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 3 laps were 92 to 94 seconds. 4 laps were 94 to 96 seconds. 0 laps were 96 to 98 laps.
Option D
20

A data set is shown in the table. The line of best fit modeling the data is y = 2.69x – 7.95.

Question illustration
A
–0.88
B
–0.12
C
0.12
D
0.88

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