Practice Page
Directions: Read carefully. These questions pertain to correlations and correlation coefficients.

 
 
 
GA
GB
 
GC
GD
 
GE
GF
 
Choose the scatter plot which could possibly have the given r -value:
  1.
r = 0.50
A B C D E F
smalldivider

  2.
r = 0
A B C D E F
smalldivider

  3.
r = -0.85
A B C D E F
smalldivider

  4.
r = 0.92
A B C D E F
smalldivider

  5.
r = 1
A B C D E F
smalldivider

  6.
r = -0.48
A B C D E F
smalldivider

 

  7.  What does it mean to say that data has a strong negative correlation?
Choose:
There is no relationship at all between the variables.
 
More than half of the variables have a negative value.
 
There is a negative cause and effect relationship.
 
A linear model with a negative slope is appropriate.

 

 

  8.  Which of the following correlation coefficients represents the strongest linear relationship?
Choose:
0.79
0.36
-0.12
-0.87

 

 

   9.  The relationship between the number of widgets in a package (x-axis) and the length of the package (y-axis), in inches, is given in the table at the right. The linear correlation coefficient for this relationship is:
Choose:
 
1
-1
0.5
0
Number of Widgets
Length of Package (in.)
3
9.00
4
9.25
5
9.50
6
9.75

 

 

   10.  Which calculator output shows the strongest linear relationship between x and y?
Choose:
 
LinReg
y = ax + b
a = 58.135
b = 7.348
r = 0.843
LinReg
y = a + bx
a = 0.702
b = 24.286
r = 0.8145
LinReg
y = ax + b
a = 0.952
b = 3.45
r = 0.633

LinReg
y = ax + b
a = 22.567
b = -4.332
r = 0.894

 

 

   11.  Which value of r represents data with a strong positive linear correlation betweeen two variables?
Choose:
 
0.91
0.42
1.03
0.01

 

 

  12.  The table at the right shows the average target training heart rates, by age, according to the American Heart Association. Which value represents the linear correlation coefficient between a person's age, in years, and that person's average target training heart rate, in beats per minute (bpm)? (Round to four decimal places with Age on x-axis and Heart Rate on y-axis.)
Choose:
 
-0.6652
1.3231
 
-0.9996
0.9993
Age
(years)
Average Target
Heart Rate (bpm)
20
135
30
129
40
122
50
115
60
108
70
102



divider

NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation
and is not considered "fair use" for educators. Please read the "Terms of Use".