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Statistics Final Exam Study Guide (Latest Update 2025 / 2026) Questions & 100% Correct Answers [Grade A]

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Statistics Final Exam Study Guide (Latest Update 2025 / 2026) Questions & 100% Correct Answers [Grade A]

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Statistics Final Exam Study Guide (Latest
Update ) Questions & 100%
Correct Answers [Grade A]

The correlation between the heights (feet) of fathers (x) and the heights (feet) of their
adult sons (y) is r=0.89. If the sons' heights were instead measured in inches, the
correlation between heights of fathers and heights of sons would be

(a) much smaller than 0.89
(b) slightly smaller than 0.89
(c) unchanged; equal to 0.89
(d) slightly larger than 0.89 - correct answer (c) unchanged; equal to 0.89

You would draw a segmented bar graph

(a) to show the distribution of heights of students in this course.
(b) to determine if gender and favorite toy as a child are associated
(c) to show the five-number summary for the heights of female students
(d) to show the relationship between the height of female students and the heights of
their mothers. - correct answer (b) to determine if gender and favorite toy as a child
are associated

Consider a large number of countries around the world. There is a positive correlation
between the number of laptops per 1000 people (x) and the average life expectancy y.
Does this mean that we could increase the life expectancy in Rwanda by shipping
laptops to that country?

(a) No: if the correlation were negative we could accept that conclusion, but this
correlation is positive.
(b) No: the positive correlation just shows that richer countries have both more
laptops and higher life expectancies. We don't know if there is causation.
(c) Yes: the positive correlation means that if we ship do more laptops we can expect
an increase in life expectancy.
(d) Yes: the correlation says that as laptops go up, it causes life expectancy to go up. -
correct answer (b) No: the positive correlation just shows that richer countries have
both more laptops and higher life expectancies. We don't know if there is causation.

In the following residual plot, consider the point that is indicated by the arrow. Which of
the following statements must be true about the individual represented by that point?

(a) The actual value of the response variable is larger than its predicted value.
(b) The actual value of response variable is smaller than its predicted value.

, Statistics Final Exam Study Guide (Latest
Update ) Questions & 100%
Correct Answers [Grade A]

(c) The actual value of explanatory variable is larger than its predicted value.
(d) The actual value of explanatory variable is larger than the observed value of the
response variable. - correct answer (b) The actual value of response variable is
smaller than its predicted value.

The United Nations has data on the percent of adult males and females who are
illiterate in 142 countries. The correlation between male illiteracy rate and female
illiteracy rate is r=0.945. This tells us that

(a) countries with high male illiteracy tend to also have high female illiteracy, and the
relationship is very strong.
(b) countries with high male illiteracy tend to also have high female illiteracy, but the
two are only weakly related.
(c) countries with high male illiteracy tend to have low female illiteracy, and the
relationship is very strong.
(d) countries with high male illiteracy tend to have low female illiteracy, but the two
are only weakly related. - correct answer (a) countries with high male illiteracy tend to
also have high female illiteracy, and the relationship is very strong.

A study of the effects of television measured how many hours of television each of 125
grade school children watched per week during a school year and their reading
scores. Which variable would you put on the horizontal axis of a scatterplot of the
data?

(a) Hours of television, because it is the response variable
(b) Hours of television, because it is the explanatory variable.
(c) Reading score, because it is the response variable.
(d) Reading score, because it is the explanatory variable. - correct answer (b) Hours of
television, because it is the explanatory variable.

A scatterplot and a least regression line are shown in the figure below. If the point
(20,25) that is labeled A is removed from the data set, which one of the statements
below is TRUE?

(a) The slope will decrease and the y-intercept will decrease.
(b) The slope will decrease and the y-intercept will increase.
(c) The slope will increase and the y-intercept will increase.

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