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Correlation
Related Topics
Wize University Statistics Textbook > Scatterplots, Association, and Correlation
Correlation
2 Activities
Which of the following statements is/or
TURE
? (select all that apply)
The correlation coefficient
r
r
r
must have the same sign as the slope of the regression line
The y-intercept of the regression line must be 0 if the sum of the residuals is 0
The slope and y-intercept of the regresssion line are unit-less
The slope of the regression line must increase if you remove outliers
The slope of a regression line is proportional to the correlation coefficient
r
r
r
I don't know
Check Submission
More Correlation Questions:
The correlation between the number of hours of operation and sales in dollars at Pino's Pizza is 0.43. Which of the following is true?
Correlation and Regression Line
If
r
=
−
1.00
r=-1.00
r
=
−
1.00
, then 100% of the data points fall exactly on the regression line and the slope cannot be equal or greater than 0.
Correlation
The correlation between the number of hours of operation and sales in dollars at Pino's Pizza is 0.43. Which of the following is true?
Correlation
Numbers in a data set are in dollar units ($). Which of the following measures will not be in dollar units?
Correlation
True or False: A correlation coefficient of 0.6 means that 60% of the data points in the scatter plot have a linear relationship.
Predictions and Residual Plots
Suppose the following summary data was given:
x-variable:
μ
x
=
10
,
s
x
=
2
\mu_x=10,\ s_x=2
μ
x
=
10
,
s
x
=
2
y-variable:
μ
y
=
250
,
s
y
=
10
\mu_y=250,\ s_y=10
μ
y
=
250
,
s
y
=
10
Correlation
If we double all the
Y
Y
Y
data and without changing the
X
X
X
data, the correlation will not change but the slope will get steeper.
Correlation
If
R
2
=
0.86
R^2=0.86
R
2
=
0.86
, then there must be a strong, positive correlation between
X
X
X
and
Y
Y
Y
.
Correlation
The correlation between the number of hours of operation and sales in dollars at Pino's Pizza is 0.43. Which of the following is true?
Hypothesis Testing: Correlation
For the following statements, select true or false. Enter T for True, F for False.
Correlation
If we swap
x
x
x
and
y
y
y
, what will happen to the correlation coefficient
r
r
r
?
Correlation
The correlation between midterm grades and final exam grades is
r
=
0.88
r=0.88
r
=
0.88
. The correlation between assignment grades and final exam grades is
r
=
0.44
r=0.44
r
=
0.44
.
Which of the following is
false
?
Correlation
In a plot, if we swap
x
x
x
and
y
y
y
,
r
r
r
will not change.
Correlation
r
>
0
r>0
r
>
0
; large values of
x
x
x
are associated with large values of
y
y
y
.
Correlation
r
=
−
0.91
r=-0.91
r
=
−
0.91
; the correlation is very weak.
Correlation
r
<
0
r<0
r
<
0
; increasing
x
x
x
will cause
y
y
y
to decrease.
Correlation
r
=
−
1.00
r=-1.00
r
=
−
1.00
; the correlation is perfectly negative.
Correlation
r
=
2.00
r=2.00
r
=
2.00
; the correlation is very strong.
Correlation
r
=
0.33
r=0.33
r
=
0.33
; the correlation is positive, but weak.
Correlation: Coefficient of Determination
True or false?
About 81% of the variation of quantities sold can be explained by price. The correlation between price and sales revenue is
r
=
0.9
r=0.9
r
=
0.9
.
Simple Linear Regression: Correlation
True or false? Enter T if True, F if False. (Use capital letters: T, F)
1. If 𝒓 = −𝟏. 𝟎𝟎, then 100% of the data points fall exactly on the regression line and the slope cannot be equal or greater than 0.
T
Correlation
The correlation is 0.56 when the unit for
x
x
x
is
years
. What will the correlation coefficient be after
x
x
x
is changed from years to
months
of experience? [Enter your answer with 2 decimal places, e.g. 0.36]
Correlation
Correlation
r
r
r
has no units unless
x
x
x
and
y
y
y
have the same units.