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Stats Unit 2
It takes a while for new factory workers to master a complex assembly process. During
the first month new employees work, the company tracks the number of days they have
been on the job and the length of time it takes them to complete an assembly. The
correlation (r) is most likely to be....
A. exactly +1.0
B. near 0
C. near +0.6
D. exactly -1.0
E. near -0.6 - CORRECT ANSWER-E. near -0.6
b/c the longer the worker has worked = more experience = less assembly time
For families who live in apartments the correlation between the family's income and the
amount of rent they pay is r-0.60. Which is true?
A. In general, families with higher incomes pay more in rent
B. On average, families spend 60% of their income on rent
C. The regression line passes through 60% of the data points - CORRECT ANSWER-A.
In general, families with higher incomes pay more in rent.
b/c r is + so slope is +
A regression analysis of students' AP statistics test scores and the number of hours
they spent doing homework found R2 = 0.32. Which of these is true?
A. 32% of students test scores can be correctly predicted with this model.
B. Homework accounts for 32% of your grade in AP stats.
C. There's a 32% chance that you'll get the scores this model predicts for you. -
CORRECT ANSWER-None b/c 32% of the variation in test scores can be accounted for
by looking at homework hours.
A correlation of 0 between 2 quantitative variables means that - CORRECT
ANSWER-there is no linear association between the 2 variables
Variables X and Y have r = 0.40. If we decrease each X value by 0., double each Y
value, and then interchange then the new correclatio will be - CORRECT
ANSWER-0.40 b/c r is not affected by shifts, change of scale, or switching variables
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A regression model examining the amount of weight a football player can bench press
found that 10 cm difference in chest size are associated with 8 kg differences in weight
pressed. Which is true?
A. The correlation between chest size and weight pressed is r = 0.80.
B. As a player gets stronger and presses more weight his chest will get bigger.
C. A positive residual means that the player pressed more than predicted. - CORRECT
ANSWER-C. A positive residual means that the player pressed more than predicted.
A consumer group collected information on HDTVs. They created a linear model to
estimate the cost of an HDTV (in $) based on the screen size (in inches). Which is the
most likely value of the slope of the line of best fit?
A. 700
B. 7000
C. 0.70
D. 7
E. 70 - CORRECT ANSWER-E. 70
All but one of these statements contain a mistake. Which could be true?
A. The correlation between a football player's weight and the position he plays is 0.54.
B. There is a high correlation (1.09) between height of a corn stalk and its age in weeks.
C. The correlation between a car's length and its fuel efficiency is 0.71 miles per gallon.
D. The correlation between the amount of fertilizer used and the yield of beans is 0.42.
E. There is a correlation of 0.63 between gender and political party. - CORRECT
ANSWER-D. The correlation between the amount of fertilizer used and the yield of
beans is 0.42.
b/c r must be between -1.0 and 1.0, r does not have a unit, and cannot be used on
categorical values
Which statement about influential points is true?
A. Removal of an influential point changes the regression line.
B. Data points that are outliners in the horizontal direction are more likely to be
influential than points that are outliners in the vertical direction.
C. Influential points have large residuals. - CORRECT ANSWER-A. Removal of an
influential point changes the regression line.
B. Data points that are outliners in the horizontal direction are more likely to be
influential than points that are outliners in the vertical direction.
AM~~~~~~())))))))))))))(@)(*@U*(Stats
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Which is true?
A. Random scatter in the residuals indicates a model with high predictive power.
B. If two variables are very strongly associated, then the correlation between them will
be near +1.0 or -1.0.
C. The higher the correlation between two variables the more likely the association is
based in cause and effect. - CORRECT ANSWER-None
Double-blinding in experiments is important so that - CORRECT ANSWER-The
evaluators do not know which treatment group the participants are in & the participants
do not know which treatment group they are in
A company sponsoring a new internet search engine wants to collect data on the ease
of using it. What is the best way to collect the data? - CORRECT ANSWER-sample
survey
We wish to compare the average ages of the math and science teachers at your high
school. What is the best way to collect that data? - CORRECT ANSWER-census
Hoping to get information that would allow them to negotiate new rates with their
advertisers, Natural Health magazine phones a random sample of 600 subscribers.
64% of those polled said they use nutritional supplements. Which is true?
A. The population of interest is the people who read this magazine.
B. "64%" is not a statistic; it's the parameter of interest
C. This sampling design should provide the company with a reasonably accurate
estimate of the % of all subscribers who use supplements. - CORRECT ANSWER-A.
The population of interest is the people who read this magazine.
C. This sampling design should provide the company with a reasonably accurate
estimate of the % of all subscribers who use supplements.
Suppose the state decides to randomly test high school wrestlers for steroid use. There
are 16 teams in the league, and each team has 20 wrestlers. State investigators plant to
test 32 of these athletes by randomly choosing 2 wrestlers from each team. Is this a
simple random sample? - CORRECT ANSWER-No, b/c not all possible groups of 32
wrestlers could have been sample; This is stratified sample or multi-stage sample
Suppose a school district to randomly test high school students for attention deficit
disorder (ADD). There are 3 high schools in the district, each with grades 9-12. The
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4:25:30
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1 of 17Stats Unit 2.pdf10/27/2026,
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Stats Unit 2
It takes a while for new factory workers to master a complex assembly process. During
the first month new employees work, the company tracks the number of days they have
been on the job and the length of time it takes them to complete an assembly. The
correlation (r) is most likely to be....
A. exactly +1.0
B. near 0
C. near +0.6
D. exactly -1.0
E. near -0.6 - CORRECT ANSWER-E. near -0.6
b/c the longer the worker has worked = more experience = less assembly time
For families who live in apartments the correlation between the family's income and the
amount of rent they pay is r-0.60. Which is true?
A. In general, families with higher incomes pay more in rent
B. On average, families spend 60% of their income on rent
C. The regression line passes through 60% of the data points - CORRECT ANSWER-A.
In general, families with higher incomes pay more in rent.
b/c r is + so slope is +
A regression analysis of students' AP statistics test scores and the number of hours
they spent doing homework found R2 = 0.32. Which of these is true?
A. 32% of students test scores can be correctly predicted with this model.
B. Homework accounts for 32% of your grade in AP stats.
C. There's a 32% chance that you'll get the scores this model predicts for you. -
CORRECT ANSWER-None b/c 32% of the variation in test scores can be accounted for
by looking at homework hours.
A correlation of 0 between 2 quantitative variables means that - CORRECT
ANSWER-there is no linear association between the 2 variables
Variables X and Y have r = 0.40. If we decrease each X value by 0., double each Y
value, and then interchange then the new correclatio will be - CORRECT
ANSWER-0.40 b/c r is not affected by shifts, change of scale, or switching variables
AM~~~~~~())))))))))))))(@)(*@U*(Stats
Stats Unit10/27/2026,
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4:25:30
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2 of 17Stats Unit 2.pdf10/27/2026,
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A regression model examining the amount of weight a football player can bench press
found that 10 cm difference in chest size are associated with 8 kg differences in weight
pressed. Which is true?
A. The correlation between chest size and weight pressed is r = 0.80.
B. As a player gets stronger and presses more weight his chest will get bigger.
C. A positive residual means that the player pressed more than predicted. - CORRECT
ANSWER-C. A positive residual means that the player pressed more than predicted.
A consumer group collected information on HDTVs. They created a linear model to
estimate the cost of an HDTV (in $) based on the screen size (in inches). Which is the
most likely value of the slope of the line of best fit?
A. 700
B. 7000
C. 0.70
D. 7
E. 70 - CORRECT ANSWER-E. 70
All but one of these statements contain a mistake. Which could be true?
A. The correlation between a football player's weight and the position he plays is 0.54.
B. There is a high correlation (1.09) between height of a corn stalk and its age in weeks.
C. The correlation between a car's length and its fuel efficiency is 0.71 miles per gallon.
D. The correlation between the amount of fertilizer used and the yield of beans is 0.42.
E. There is a correlation of 0.63 between gender and political party. - CORRECT
ANSWER-D. The correlation between the amount of fertilizer used and the yield of
beans is 0.42.
b/c r must be between -1.0 and 1.0, r does not have a unit, and cannot be used on
categorical values
Which statement about influential points is true?
A. Removal of an influential point changes the regression line.
B. Data points that are outliners in the horizontal direction are more likely to be
influential than points that are outliners in the vertical direction.
C. Influential points have large residuals. - CORRECT ANSWER-A. Removal of an
influential point changes the regression line.
B. Data points that are outliners in the horizontal direction are more likely to be
influential than points that are outliners in the vertical direction.
AM~~~~~~())))))))))))))(@)(*@U*(Stats
Stats Unit10/27/2026,
210/27/2026,
4:25:30
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3 of 17Stats Unit 2.pdf10/27/2026,
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Which is true?
A. Random scatter in the residuals indicates a model with high predictive power.
B. If two variables are very strongly associated, then the correlation between them will
be near +1.0 or -1.0.
C. The higher the correlation between two variables the more likely the association is
based in cause and effect. - CORRECT ANSWER-None
Double-blinding in experiments is important so that - CORRECT ANSWER-The
evaluators do not know which treatment group the participants are in & the participants
do not know which treatment group they are in
A company sponsoring a new internet search engine wants to collect data on the ease
of using it. What is the best way to collect the data? - CORRECT ANSWER-sample
survey
We wish to compare the average ages of the math and science teachers at your high
school. What is the best way to collect that data? - CORRECT ANSWER-census
Hoping to get information that would allow them to negotiate new rates with their
advertisers, Natural Health magazine phones a random sample of 600 subscribers.
64% of those polled said they use nutritional supplements. Which is true?
A. The population of interest is the people who read this magazine.
B. "64%" is not a statistic; it's the parameter of interest
C. This sampling design should provide the company with a reasonably accurate
estimate of the % of all subscribers who use supplements. - CORRECT ANSWER-A.
The population of interest is the people who read this magazine.
C. This sampling design should provide the company with a reasonably accurate
estimate of the % of all subscribers who use supplements.
Suppose the state decides to randomly test high school wrestlers for steroid use. There
are 16 teams in the league, and each team has 20 wrestlers. State investigators plant to
test 32 of these athletes by randomly choosing 2 wrestlers from each team. Is this a
simple random sample? - CORRECT ANSWER-No, b/c not all possible groups of 32
wrestlers could have been sample; This is stratified sample or multi-stage sample
Suppose a school district to randomly test high school students for attention deficit
disorder (ADD). There are 3 high schools in the district, each with grades 9-12. The
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4:25:30
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