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Two Variable Statistics Practice

Total questions: 45

Worksheet time: 1hrs 1mins

Name
Class
Date
1.
What shape is a normal distribution curve?
a)
Half curve
b)
Round curve
c)
Bell curve
d)
Square curve
2.
1.  Which best describes the shaded part of this normal distribution graph?  
a)
All data that is one or higher.
b)
All data that is one or more standard deviations above the mean.
c)
All data that is between 1 and 3.
d)
All data that is above the mean.
3.
Between what two standard deviations of a normal distribution contain 68% of the data?
a)
one below and one above
b)
two below and two above
c)
two below and zero
d)
zero and two above
4.
What does the mean tell you about a data set
a)
It tells you the number that occurs the most
b)
It is the difference between the highest and lowest number
c)
It tells you the average of the data set
d)
It tells you how mad someone is at another persom
5.
The mean life of a tire is 30,000 km. The standard deviation is 2000 km.

Then, 68% of all tires will have a life between ___________ km and __________ km.
a)
 28,000 km and 32,000 km.
b)
24,000 km and 34,000 km.
c)
26,000 km and 34,000 km.
d)
27,000 km and 31,000 km.
6.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
7.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
8.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
9.
Roger bowled 7 games last weekend. His scores are: 155, 165, 138, 172, 127, 193, 142. What is the range of Roger's scores?
a)
193
b)
127
c)
60
d)
66
10.
Between what two standard deviations of a normal distribution contain 68% of the data?
a)
one below and one above
b)
two below and two above
c)
two below and zero
d)
zero and two above
11.
The distribution of heights of adult American men is approximately Normal with mean 69 inches and standard deviation 2.5 inches. Between what heights do the middle 95% of men fall? 
a)
66.5-71.5
b)
64-74
c)
61.5-76.5
d)
65-73
12.

Identify the type of correlation shown in the graph.

a)

Positive

b)

Negative

c)

No Correlation

d)

Undefined

13.

What type of correlation does this graph have?

a)

positive

b)

negative

c)

no correlation

d)

undefined

14.
The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month.  Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles? 
a)
A. 50 min
b)
B. 80 min
c)
C. 45 min
d)
D. 60 min
15.

Identify the relationship between the number of siblings you have and your weight.

a)

Positive relationship

b)

Negative relationship

c)

No relationship

d)

All of the above

16.

What is a scatter plot?

a)

A graph that shows the relationship between two data sets.

b)

A graph drawn using rectangular bars to show how large each value is.

c)

A graph that shows information that is connected in some way.

d)

A graph that shows data changing over time.

17.

Which equation best represents the line of fit?

a)

y = x + 7.5

b)

y = -x +7.5

c)

y = 1/2x + 7.5

d)

y = -1/2x + 7.5

18.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
19.
Which sentence describes the relationship shown on this scatter plot?
a)
As the temperature decreases, the visitors increase. 
b)
As the temperature increases, the number of visitors increases. 
c)
As the visitors increase, the temperature decreases. 
d)
No correlation
20.
What type of correlation does this scatter plot show?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
21.
What type of correlation does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
22.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
23.
identify the outlier
a)
30, 100
b)
100, 30
c)
there is no outlier
24.

Choose the graph with a trend line that best fits the data.

a)

graph 1

b)

graph 2

c)

graph 3

d)

graph 4

25.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
26.
Describe the correlation in the graph shown.
a)
Strong Negative
b)
Strong Positive
c)
Weak Negative
d)
Weak Positive
27.
Find the slope for the trend line using points (2,2) and (4,3)
a)
2
b)
1/2
c)
-2
d)
-1/2
28.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

29.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

30.

Which with is the line of best fit?

a)

A) Black

b)

B) Orange

c)

C) Red

d)

D) Blue

31.
Estimate the correlation coefficient.
a)
r=-1
b)
r=-0.5
c)
r=0.5
d)
r=1
32.
Estimate the correlation coefficient for this scatterplot.
a)
r = 1.2
b)
r = 0.89
c)
r = 0
d)
r = -0.89
33.

Which of the following is true about scatterplot 1?

a)

There is a clear parabolic correlation present

b)

There is a clear parabolic association present

c)

There is a clear strong, positive, linear association present

d)

None of the above are appropriate

34.

What would be an accurate estimate of the correlation (r) if we had a scatterplot of "grams of fat" and "calories" of different brands of salad dressing

a)

r = 1

b)

r = 0.89

c)

r = 0

d)

r = -0.89

e)

r = -1

35.

On a scatterplot, you see that there is a clear exponential pattern between "parents' income" and "college savings account balance". What statement below is true?

a)

There is an association between income and account balance

b)

There is a correlation between income and account balance

c)

Income and account balance are not associated

d)

Parent income has no affect on college savings account balance

36.

Rick is a truck driver, and whenever he stops to go to the bathroom, he logs the "number of gallons left in his tank" and "distance traveled". Which r-value is most appropriate?

a)

r = 1

b)

r = 0.79

c)

r = 0

d)

r = -0.68

e)

r = -1

37.
r=-0.89
a)
Strong positive 
b)
Weak positive 
c)
Strong negative 
d)
Weak negative 
38.
r=0.3
a)
Strong positive 
b)
Weak positive
c)
Strong negative
d)
Weak negative 
39.
How do you calculate a residual?
a)
Observed - Predicted
b)
Predicted - Observed
40.
Shown is a residual plot. Would a linear regression model of the data be most appropriate?
a)
YES
b)
NO
41.
After performing analyses on a set of data, Mrs. Schoeneck examined the scatter plot of the residual values for each analysis. Which scatter plot indicated the best linear fit for the data?
a)
A
b)
B
c)
C
42.
The correlation coefficient r is a value between
a)
0 and 1
b)
0 and 100
c)
-1 and 1
d)
-2 and 2
43.

How do you calculate a residual?

a)

Actual - Predicted

b)

Predicted - Actual

44.
Shown is a residual plot. Would a linear regression model of the data be most appropriate?
a)
YES
b)
NO
45.
Shown is a residual plot.
Would a linear regression model be a good fit?
a)
YES
b)
NO

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