TwMM 4.3 Correlation Coefficients and Outliers.pptx
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Transcript TwMM 4.3 Correlation Coefficients and Outliers.pptx
Math CC7/8 – Be Prepared
On Desk:
Learning Log:
1. Pencil
2. Calculator
3. Math Journal
4. TwMM Learning Log
1. HW: p. 100, #6-8, 19, 20, 25
2. TwMM Unit Test - Thursday
Tasks for Today
• Warm Up – SBA Review
• Pass Back Quiz
• Lesson 4.3– Correlation
Coefficients & Outliers
Warm Up
1). 5n – 9 = -16 + 6n
2.) 5x – 5 = 3x – 9
3.) 7 - 2x = x - 14
Which roller coaster
variables do you think are
strongly related to the top
speed on the ride?
A correlation of 1 means that
there is a perfect linear
relationship between two
variables with a positive slope.
0.4
-1
0.8
-0.4
-0.8
0.0
Yes. These data points are
tightly clustered in an
upward sloping linear trend,
so a linear model would give
accurate predictions.
The correlation coefficient
is closest to r = 1.
Yes. As a roller coaster drops,
its speed increases. So, the
longer the drop is, the faster
the coaster will travel.
Coasters with longer drops
will be able to achieve
greater speeds.
The points are less tightly
clustered in an upward
sloping trend, so a linear
model is going to be less
reliable as a predictor of
top speed for a given track
length.
The correlation
coefficient is closest
to r = 0.5.
No. A coaster could
have a long track, but
height doesn’t change
much.
Without large drops,
coasters would not
achieve high speeds.
The points are less tightly
clustered than in question C,
so a linear model will not be a
reliable predictor of top speed
for a given ride time.
The correlation
coefficient is closest to
r = 0 … possibly 0.5
No
Outlier
No
Outlier
No
No
Answers vary…
(2800, 120)
(1300, 100)
These data points are tightly
clustered in a downward sloping
linear trend, so a linear model
would give accurate predictions of
number of riders based on rider age.
No.
Although the data have a
correlation, the variables do
not have a causal relationship.
The correlation coefficient is
closest to r = -1
4. Are any of the data points
outliers? If so, estimate the
coordinates of those points.
(14, 45) (16, 60) (17, 70)
(72, 2) (77, 2) (80, 1)
Yes, it is possible to have a strong correlation
coefficient that indicates a strong relationship
even when there are a few outliers.