Cigarette smoking and cancer have been linked. Assume the number of bladder cancer deaths (in deaths/100 thousand) and cigarette sales (in cigarettes/person) for 40 randomly selected countries are in the table below. X, cigarette sales (in cigarettes/person) Y, the number of bladder cancer deaths (in deaths/100 thousand) 21.16 2.9 16.08 3.06 25.82 3.52 24.96 5.27 20.08 2.94 27.56 4.04 22.06 3.72 26.18 4.09 28.92 4.79 21.17 4.04 20.94 3.64 40.46 5.6 21.84 2.91 14 3.31 18.06 3.25 22.57 3.21 22.86 4.78 18.2 2.9 30.34 3.46 28.6 4.46 28.64 5.98 29.14 5.3 18.24 2.99 23.78 4.89 21.58 4.65 42.4 6.54 23.32 3.72 23.44 2.86 33.6 4.78 21.25 5.14 23.75 3.95 27.91 4.75 28.27 4.46 26.38 4.47 23.44 2.93 25.89 4.63 26.92 4.69 31.1 5.11 20.1 3.08 19.96 2.89
Cigarette smoking and cancer have been linked. Assume the number of bladder cancer deaths (in deaths/100 thousand) and cigarette sales (in cigarettes/person) for 40 randomly selected countries are in the table below. X, cigarette sales (in cigarettes/person) Y, the number of bladder cancer deaths (in deaths/100 thousand) 21.16 2.9 16.08 3.06 25.82 3.52 24.96 5.27 20.08 2.94 27.56 4.04 22.06 3.72 26.18 4.09 28.92 4.79 21.17 4.04 20.94 3.64 40.46 5.6 21.84 2.91 14 3.31 18.06 3.25 22.57 3.21 22.86 4.78 18.2 2.9 30.34 3.46 28.6 4.46 28.64 5.98 29.14 5.3 18.24 2.99 23.78 4.89 21.58 4.65 42.4 6.54 23.32 3.72 23.44 2.86 33.6 4.78 21.25 5.14 23.75 3.95 27.91 4.75 28.27 4.46 26.38 4.47 23.44 2.93 25.89 4.63 26.92 4.69 31.1 5.11 20.1 3.08 19.96 2.89
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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Question
Cigarette smoking and cancer have been linked. Assume the number of bladder cancer deaths (in deaths/100 thousand) and cigarette sales (in cigarettes/person) for 40 randomly selected countries are in the table below.
| X, cigarette sales (in cigarettes/person) | Y, the number of bladder cancer deaths (in deaths/100 thousand) |
|---|---|
| 21.16 | 2.9 |
| 16.08 | 3.06 |
| 25.82 | 3.52 |
| 24.96 | 5.27 |
| 20.08 | 2.94 |
| 27.56 | 4.04 |
| 22.06 | 3.72 |
| 26.18 | 4.09 |
| 28.92 | 4.79 |
| 21.17 | 4.04 |
| 20.94 | 3.64 |
| 40.46 | 5.6 |
| 21.84 | 2.91 |
| 14 | 3.31 |
| 18.06 | 3.25 |
| 22.57 | 3.21 |
| 22.86 | 4.78 |
| 18.2 | 2.9 |
| 30.34 | 3.46 |
| 28.6 | 4.46 |
| 28.64 | 5.98 |
| 29.14 | 5.3 |
| 18.24 | 2.99 |
| 23.78 | 4.89 |
| 21.58 | 4.65 |
| 42.4 | 6.54 |
| 23.32 | 3.72 |
| 23.44 | 2.86 |
| 33.6 | 4.78 |
| 21.25 | 5.14 |
| 23.75 | 3.95 |
| 27.91 | 4.75 |
| 28.27 | 4.46 |
| 26.38 | 4.47 |
| 23.44 | 2.93 |
| 25.89 | 4.63 |
| 26.92 | 4.69 |
| 31.1 | 5.11 |
| 20.1 | 3.08 |
| 19.96 | 2.89 |
Transcribed Image Text:Does it make sense to interpret the Y-intercept on this problem?
Why or why not? Select an answer
f) Should you use the regression equation to predict the the number of bladder cancer deaths of a
randomly selected country that has a cigarette sales of 34 cigarettes/person?
Select an answer
Should you use the regression equation to predict the the number of bladder cancer deaths of a
randomly selected country that has a cigarette sales of 57 cigarettes/person?
Select an answer
Looking at your answers above, predict the the number of bladder cancer deaths for the one above that
it made sense to do so.
Make sure you use the stored equation and not the rounded equation from part c.
Round final answer to 4 decimal places.
• The predicted the number of bladder cancer deaths for a randomly selected country that has a
cigarette sales of
cigarettes/person is
g) Compute the residual for the following ordered pair in the data: (23.78, 4.89).
Make sure you use the stored equation and not the rounded equation from part c.
Round final answer to 4 decimal places.
The residual for the country with a cigarette sales of 23.78 cigarettes/person is
Interpret what this value means in the context of this problem.
• The actual the number of bladder cancer deaths of a randomly selected country with a cigarette
sales of 23.78 cigarettes/person is
Select an answer ✓ what
was predicted.
Transcribed Image Text:c) Find the equation of the best-fitting line (the least squares regression equation).
Round values to 4 decimal places.
Include the restricted domain.
equation: YX = 1.8913 x 0.2309 x*X
restricted domain:
d) Interpret the slope from part c in the context of this problem. (Pay attention to the units)
• Every time we increase the mean cigarette sales
increase
cigarettes/person <= x <= 42.4 ✓o cigarettes/person
. When Select an answer
Select an answer
by 1
we can expect the mean the number of bladder cancer deaths ✓X to
Oby
e) Interpret the Y-intercept from part c in the context of this problem. Include units.
on average.
is
to be 0.2309 x average
we expect
X
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