MPM1D – Exam Review
Graphical Models: Level 1 & 2
A1. State a hypothesis about the correlation between each pair of variables.
a) Heart rate and exercise
b) The cost of gasoline and the number of people riding bicycles.
A2. The following table shows the number of days absent
from class and the report card marks of 11 students.
a) State a hypothesis about the relationship (correlation)
between the number of days absent and the mark.
b) Identify the dependent variable. Explain your
reasoning.
c) Construct a scatter plot of the data on the graph
provided.
d) Describe the type of relationship between a student’s
mark and their attendance.
Number of
Days Absent
10
7
0
12
3
1
1
8
2
6
3
Mark in %
38
52
93
21
81
86
22
41
85
63
79
e) Are there any outliers? If so, explain how they differ from the rest of the data.
f) Construct a line of best fit on the graph.
g) Use your line of best fit to estimate the mark of a student who is away 5 days.
h) Is the above estimation interpolation or extrapolation? Explain.
i) Use your line of best fit to estimate the
mark of a student who is away 15
days.
j) Is the above estimation interpolation
or extrapolation? Explain.
MPM1D – Exam Review
Graphical Models: Level 3
B1. Thomas performs an experiment involving the mass of pennies
in a cup. He adds pennies to the cup, and measures the mass
after adding each penny. He created a scatter plot and then
drew a line of best fit.
a) Calculate the slope of the line of best fit. Interpret the
meaning of the slope.
b) Use the line of best fit to determine the
mass of 12 pennies.
c) Use the line of best fit to determine the
number of pennies that would exist for
300grams.
Graphical Models: Level 4
C1.
The manager of a movie theatre gathers data
regarding the number of movie tickets sold and
the number of buckets of popcorn sold.
a) What is the independent and dependent
variable?
b) Create a scatter plot of number of movie
tickets sold versus number of buckets of
popcorn sold. Draw the line of best fit.
c) Classify the type of correlation.
d) Use the line of best fit to estimate the
number of buckets of popcorn sold.