Regression Models — Unit test Answers

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1
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The table shows the daily time, in minutes, Maggie spent at swim practice and band practice over the last ten days. Which statement is true about the measures of center of the practice times?

Question illustration
A
Maggie’s daily time at band practice tends to be greater than her time at swim practice.
B
Maggie’s daily time at band practice has less variation than her daily time at swim practice.
C
Maggie’s daily time at swim practice tends to be greater than her time at band practice.
D
Maggie’s daily time at swim practice tends to have more variation than her daily time at band practice.
2
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The box plots show the distributions of the numbers of words per line in an essay printed in two different fonts. Which measure of center would be best to compare the data sets?

Question illustration
A
The median is the best measure because both distributions are left-skewed.
B
The mean is the best measure because both distributions are left-skewed.
C
The median is the best measure because both distributions are symmetric.
D
The mean is the best measure because both distributions are symmetric.
3

A research study was conducted to measure the time students focus on a task before being distracted. The box plots show the distributions of attention spans of high school and college students.Which statements are true regarding the data sets? Select two options.The median attention span of college students is greater than the median attention span of high school students. The range of attention span of college students is greater than the range of attention spans of high school students.The interquartile range of attention spans of college students is greater than the interquartile range of attention spans of high school students.All of the college students in the study had greater attention spans than the high school students.The minimum attention span of high school students is greater than the minimum attention span of college students.

Question illustration
A
The median attention span of college students is greater than the median attention span of high school students.
B
The range of attention span of college students is greater than the range of attention spans of high school students.
C
The interquartile range of attention spans of college students is greater than the interquartile range of attention spans of high school students.
D
All of the college students in the study had greater attention spans than the high school students.
E
The minimum attention span of high school students is greater than the minimum attention span of college students.
4

The table shows the growth, in centimeters, of plants in two different soils after two weeks. Which statement explains which soil tended to have a greater growth?

Question illustration
A
Soil A had greater growth because its data have a greater standard deviation.
B
Soil A had greater growth because its data have a greater mean.
C
Soil B had greater growth because its data have a greater interquartile range.
D
Soil B had greater growth because its data have a greater median.
5

The histogram represents the distributions of boiling temperatures, in degrees Celsius, of tap water and a mixture of salt water.

Question illustration
T
The two distributions are each nearly symmetric.
T
The distributions do not overlap on the same range of temperatures.
T
The distribution of salt water boiling temperatures is left-skewed.
T
The distribution of tap water boiling temperatures is right-skewed.
6

The box plots represent the distributions of typing speeds of students before and after a computer-programming course. Which statement is true about the variability of the distributions?

Question illustration
A
The interquartile range of the typing speeds after the course is greater than the interquartile range of the speeds before the course.
B
The interquartile ranges of the two distributions are the same.
C
The range of the speeds after the course is smaller than the range of the speeds before the course.
D
The ranges of the two distributions are the same.
7

best

Question illustration
O
Only Brand A data is symmetric, so standard deviation is the best measure to compare variability.
O
Only Brand B data is symmetric, so the median is the best measure to compare variability.
B
Both distributions are symmetric, so the mean is the best measure to compare variability.
B
Both distributions are skewed left, so the interquartile range is the best measure to compare variability.
8

The box plots represent the ages of pennies in two 50-cent rolls.

Question illustration
A
She is correct because the medians are 10 years apart, which means the means are half of that, or 5 years apart.
B
She is correct because the maximum ages of the pennies in each set are 5 years apart.
C
She is not correct because the means are both equal to 12.
D
She may not be correct because means cannot be determined from the box plots.

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