Wayne tells Garth, "There is a correlation of r = 1.51 between gender of factory workers."

the correlation can't be larger than 1, gender is categorical, so correlation makes no sense

correlation (r) , and slope (b)...

r and b always have the same sign (+ or -)

If there is a positive correlation between Nintendo usage and life expectancy...

perhaps correlation is from richer countries playing Nintend

r = 0.52 in the previous question shows that the LSRL explains

27% of the observed variation in sons' height

heights of fathers & heights of their grownup sons ... a correlation of r = 0.52 tells us that...

taller than avg fathers tend to have taller than avg sons

You would draw a scatterplot to

show the relationship between the height of females & age

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Linear Regression Review

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linear regression 4B test

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Answers

1
Wayne tells Garth, "There is a correlation of r = 1.51 between gender of factory workers."
the correlation should be in units, like dollars
he meant the correlation coefficient is 1.51
the correlation can't be larger than 1
gender is categorical, so correlation makes no sense
2
correlation (r) , and slope (b)...
b is always larger than r
r is always larger than b
b and r are measured in the same units
r and b always have the same sign (+ or -)
3
If there is a positive correlation between Nintendo usage and life expectancy...
negative correlation means that as x increases so will y
this should be a negative correlation
perhaps correlation is from richer countries playing Nintend
I better start playing Nintendo so I can live to 100!
4
r = 0.52 in the previous question shows that the LSRL explains
95% of the observed variation in sons' height
27% of the observed variation in sons' height
52% of the observed variation in sons' height
73% of the observed variation in sons' height
5
Which of the following about correlation is NOT true?
correlation measures linear strength
correlation = causation
Adding an unusual point can dramatically change correlation
-1 ≤ r ≤ 1
6
heights of fathers & heights of their grownup sons ... a correlation of r = 0.52 tells us that...
taller than avg fathers tend to have shorter than avg sons
taller than avg fathers tend to have taller than avg sons
52% of all sons are taller than their father
there is no relationship between these heights
7
You would draw a scatterplot to
to compare the distribution of heights for male & females
show the distribution of heights of students in class
show the relationship between the height of females & age
compare a child's height relative to others in an age group
8
If father measured in feet and son in meters, the correlation would be
slightly smaller than 0.52
unchanged; equal to 0.52
much smaller than 0.52
slightly larger than 0.52
9
A study uses hours watching TV to predict reading scores. What is the explanatory variable?
hours of TV
reading score
10
Let y = son's height & x = father's height. If y=35 + 0.5x, a 72 in. father has a son that is
69 inches
71 inches
74 inches
72 inches

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