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 table shows the value of a savings bond that doubles in value after 5 years.

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A
The bond has an original value of $57.70 and grows at a rate of 15%.
B
The bond has an original value of $57.50 and grows at a rate of 85%.
C
The bond had an original value of $50 and grows at a rate of 15%.
D
The bond has an original value of $50 and grows at a rate of 85%.
2
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Yolanda wanted to see if there was a connection between red hair and green eyes. She observed people walking past her on the street and noted their hair and eye color.Red Hair Green eyes: 18 Eye color other than green: 29Hair Color Other Than Red Green eyes: 114 Eye color other than green: 650Consider the relative frequency table.

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A
x = 14%
B
x = 15%
C
x = 16%
D
x = 18%
3

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.

Question illustration
A
1.5
B
2
C
13
D
15.5
4

Which statements are true about the residual plot and the equation for the line of best fit for the data? Select two options..

A
The equation for the line of best fit is not a good approximation for the data because the points have a curved pattern.
B
The equation for the line of best fit is a good approximation for the data because the points are random, having no pattern.
C
The residual plot has a linear pattern.
D
The points of the residual plot are spread evenly above and below the x-axis.
E
The residual plot has the pattern of a curve.
5

Eighty members of a bike club were asked whether they like touring bikes and whether they like mountain bikes. A total of 70 like touring bikes, 47 like mountain bikes, and 5 do not like either. What are the correct values of a, b, c, d, and e?

Question illustration
A
a = 42, b = 28, c = 33, d = 5, e = 10
B
a = 42, b = 5, c = 28, d = 33, e = 10
C
a = 5, b = 42, c = 28, d = 10, e = 33
D
a = 5, b = 10, c = 28, d = 33, e = 42
6

Miranda is conducting a poll to determine how many students would attend a students-only school dance if one was held. Which sample is most likely to yield a representative sample for the poll?

A
twenty names from each grade pulled blindly from a container filled with the names of the entire student body written on slips of paper
B
every tenth person walking down Main Street in town at different times of the day
C
all of the students who write into the school newspaper
D
every student from all of Miranda’s classes
7

The table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or both. Which is the marginal relative frequency for the people who do not like bar soap?

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A
StartFraction 100 Over 400 EndFraction
Option A
B
StartFraction 120 Over 400 EndFraction
Option B
C
StartFraction 280 Over 400 EndFraction
Option C
D
StartFraction 300 Over 400 EndFraction
Option D
8

Drew creates a table of ordered pairs representing the width and area of a dog pen.

Question illustration
A
Drew has 36 feet of fencing and wants to represent the possible areas of the dog pen for possible widths.
B
Drew has a maximum of 81 feet of fencing to use around the pen, and the length must be twice the width.
C
Drew is building a rectangular dog pen with a length that is up to 4 feet more than the width and has a perimeter of at least 77 feet.
D
Drew wants to build a dog pen that is between 7 feet and 11 feet in width and uses, at most, 18 feet of fencing.
9

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
10

Sam kept track of the number of problems he was assigned for his math homework on the box plot.Which statement must be true according to the box plot?

Question illustration
A
The data is symmetric and shows that half of the assignments contained 15 problems or fewer.
B
The data is symmetric and shows that the majority of the assignments had 19 problems or more.
C
The data is skewed and shows that half of the assignments contained 15 problems or fewer.
D
The data is skewed and shows that the majority of the assignments had 19 problems or more.
11

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
12

Which statements are true about the table? Select three options.

A
The data point for x = 1 is above the line of best fit.
B
The residual value for x = 3 should be a positive number because the data point is above the line of best fit.
C
Fiona made a subtraction error when she computed the residual value for x = 4.
D
The residual value for x = 2 should be a positive number because the given point is above the line of best fit.
E
The residual value for x = 3 is negative because the given point is below the line of best fit.
13

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.
14

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

Question illustration
A
14
B
20
C
45
D
54
15

Marisa recorded the number of hours she babysat each day last summer. She plotted the data in the box plot.

Question illustration
A
The data is symmetric and shows that she was equally likely to work more than 3.5 hours or less than 5 hours.
B
The data is symmetric and shows that she never worked more than 5 hours.
C
The data is skewed and shows that she was equally likely to work more than 3.5 hours or less than 5 hours.
D
The data is skewed and shows that she never worked more than 5 hours.

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