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Stage 5.2 Bivariate data analysis

Total questions: 54

Worksheet time: 2hrs 17mins

Name
Class
Date
1.

The amount of people at the beach was recorded every hour of the day from 9am until 5pm.

What is the independent variable?

a)

People

b)

Time

c)

Tide

d)

Sand

2.

A group of Year 10 students recorded their height and their maths results on a scatter plot. What relationship would you expect?

a)

Negative

b)

Positive

c)

No correlation

d)

Romantic

3.

Identify the strong negative correlation.

a)

b)

c)

d)

4.

If you score 100 on Game A, what score might you expect on Game B?

a)

0

b)

30

c)

60

d)

90

5.

If someone watched 20 hours of TV per week, how long would the data suggest they worked that week?

a)

30 hours

b)

40 hours

c)

20 hours

d)

10 hours

6.

Use the data to select the best prediction of the ATAR of someone who studies 5 hours per week

a)

35

b)

45

c)

55

d)

65

7.

What do you call the data that involve two variables?

a)

univariate data

b)

bivariate data

c)

multivariate data

d)

data analysis

8.

Use the data set 2,3,3,4,5,7,8,8,8,10,10,12.

Find the mode of the data.

a)

6236\frac{2}{3}

b)

7.5

c)

8

d)

No mode

9.

How many students have a shoe size bigger than 8?

a)

2

b)

3

c)

9

d)

4

10.

To find the average or mean of a set of numbers, add up all the items and divide by...

a)

2

b)

The maximum

c)

The minimum

d)

The number of items

11.
How many scores are listed in this Stem and Leaf Plot?
a)
3
b)
6
c)
9
d)
18
12.

What are the three measures of centre? (Check all the apply)

a)

range

b)

median

c)

quartile

d)

mode

e)

mean

13.

The number that occurs most often in a data set is called the __________

a)

mean

b)

median

c)

mode

d)

range

14.

If there are two modes, we say that the data set is bimodal.

a)

True

b)

False

15.

The middle number in an ordered set of data is called the ___________

a)

mean

b)

median

c)

mode

d)

range

16.

When you are trying to find the MEDIAN of a set of data and 2 numbers are left in the middle after putting them in order from least to greatest, what do you do?

a)

List both numbers as the median

b)

Add the 2 numbers and divide by 2 (take the average)

c)

Pick the one you want

d)

Subtract the 2 numbers

17.

The highest number minus the lowest number in a set of data is called the __________

a)

mean

b)

range

c)

median

d)

maximum

18.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
19.
Which scatter plot shows a LINEAR relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
20.
Which sentence describes the relationship shown on this scatterplot?
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
21.
As the age of the car increases, its value decreases. Which scatterplot represents this relationship?
a)
A
b)
B
c)
C
d)
D
22.
As x increases, y increases
a)
both positive and negative correlation
b)
no correlation
c)
positive correlation
d)
negative correlation
23.
What type of correlation (association) would we see in the scatter plot of the following situation?
The outside temperature and the amount of layers of clothing you wear. 
a)
Positive correlation
b)
Negative correlation
c)
No correlation
d)
All of the above
24.
The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?
a)
The more books students read, the lower their English grade.
b)
The more books students read, the higher their English grade.
c)
The fewer books students read, the higher their English grade. 
d)
No relationship exists between the number of books students read and their English grades. 
25.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
26.
What would be the correlation be between study time and test grades?
a)
positive correlation
b)
negative correlation
c)
no correlation
d)
cannot be determined
27.

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

28.
r=-0.89
a)
Strong positive 
b)
Weak positive 
c)
Strong negative 
d)
Weak negative 
29.
r=0.3
a)
Strong positive 
b)
Weak positive
c)
Strong negative
d)
Weak negative 
30.
Determine the Correlation Coefficient and decide whether it is weak, moderate, or strong.
a)
-0.19 weak
b)
-0.19 moderate
c)
0.04 weak
d)
0.04 strong
31.

Is r = -0.87 strong, moderate, or weak?

a)

strong

b)

moderate

c)

weak

32.

Which graph represents data that has a correlation coefficient close to -1?

a)
b)
c)
d)
33.

What type of correlation does this graph show?

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

Constant correlation

34.
A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.
a)
y = 1.5x + 12
b)
y = 12x + 1.5
c)
y = 0.67x - 8
d)
y = -8x + 0.67
35.
A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.
a)
y = 61.93x - 1.79
b)
y = -1.79x + 61.93
c)
y = 0.016x + 0.03
d)
y = 0.03x + 0.016
36.

Find the equation of the line of best fit for the given data

a)

y = 163.41x+1.49

b)

y =- 163.41x+ 4.19

c)

y =- 4.19x+163.41

d)

y = 4.19x -163.41

37.
The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.
a)
f(x) = 25.05x + 5.57
b)
f(x) = 5.57x + 25.05
c)
f(x) = -5.57x + 25.05
d)
f(x) = 5.57x - 25.05
38.
The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 
a)
12 chapters
b)
15 chapters
c)
18 chapters
d)
21 chapters
39.
Make a prediction for a resting heart rate after 6 hours of exercise a week.
a)
6
b)
50
c)
55
d)
59
40.

What was the slowest race time?

a)

28.9 secs

b)

26.2 secs

c)

25.3 secos

d)

25 secs

41.

Which time got 4th place in the race?

a)

27.2secs

b)

26.2secs

c)

25.7secs

d)

28.9secs

42.

What was the highest priced ticket?

a)

$49

b)

$409

c)

$125

d)

$402 689

43.

This stem and leaf shows the weight of each crate of apples. Which weight appeared the most often?

a)

59kg

b)

4kg

c)

64kg

d)

2kg

44.

How many crates of apples weighed 59kg?

a)

1

b)

2

c)

3

d)

0

45.
Find the mean of these numbers:
2, 57, 38, 42, 6
a)
29
b)
38
c)
50
d)
145
46.
Identify the outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
a)
7
b)
23
c)
31
d)
34
47.

What is the mean of the data below?

1 , 5 , 10 , 11 , 20

a)

10

b)

9.4

c)

19

d)

9.1

48.

What is the mode of the data below?

12 , 14 , 5 , 12 , 5 , 12 , 11

a)

5

b)

12

c)

5 and 12

d)

11.8

49.

Find the median, first quartile, third quartile, and interquartile range of the data.

32, 53, 72, 66, 47, 54, 49, 67, 71

a)

Median: 54

First Quartile: 49

Third Quartile: 67

IQR: 18

b)

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 21

c)

Median: 54

First Quartile: 48

Third Quartile: 69

IQR: 22

d)

Median: 54

First Quartile: 49

Third Quartile: 69

IQR: 20

50.

Find the range of the data.

63, 71, 65, 66, 87, 53

a)

32

b)

33

c)

34

d)

35

51.
Find the interquartile range using the following.
Minimum:  1
Q1:  3
Median:  5
Q3:  7
Maximum:  9
a)
8
b)
4
c)
5
d)
10
52.

What is the interquartile range of the data set below?

3, 5, 6, 6, 7, 8, 9

a)

3

b)

6

c)

2

d)

8

53.

What do quartiles split data up into?

a)

halves

b)

thirds

c)

fourths

d)

fifths

54.
Calculate the interquartile range of the following data:
17, 18, 18, 19, 20, 21, 21, 23, 25
a)
3
b)
4
c)
5
d)
8

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