MAT 205 Wilmington Positive Correlation Between the Weight of The Players Analysis

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MAT 205 Fall 2021
LRA 7
3. For the below scatter plots, answer the questions below.
name
date
250
Shoe
size
200
150
Swingers
11
1. a. The table to the left
weight
shows current NBA players’ shoe size
and weight. Use the data to create a
208
scatter plot. Shoe size should be your
220 x-axis. Use graph paper or excel or
another tool to make the graph.
180
12
wie w
Figure 1
Figure 2
Figure 3
13
13
200
a. Which data set appears to show a positive linear relationship between its two
variables?
13
14
230 b. From looking at your scatter plot,
197
describe the relationship that might
exist between the player’s shoe size
210
and the player’s weight.
220
14
b. Which data set appears to show no relationship between its two variables?
14
15
200
프
프프프프프레
15
Reggie Jackson
Paul George
Trae Young
Derrick Rose
Jimmy Butler
Andrew Wiggins
Jayson Tatum
James Harden
Russell Westbrook
DeMar Derozan
LeBron James
Luka Dončić
Kristaps Porzingis
Nikola Jokić
Kevin Durant
Blake Griffin
Joel Embiid
Kevin Love
Andre Drummond
Karl-Anthony Towns
Tacko Fall
220
15
C. Which data set appears to show a negative linear relationship between its two
variables?
16
250
2. a. Write an approximate equation
230 of the line of best fit for the data. It
doesn’t have to be the exact line of
240 best fit. Explain your process for
284 finding the equation.
16
16
17
240
4. For the scatter plots from question 3, answer the following questions.
17
250
17
a. For which data set is the correlation coefficient r closest to 0?
280
19
251
19
279
b. Using your equation, predict the
weight of an NBA player that wears
size 18 shoes.
20
248
b. Which data set indicates the strongest positive linear relationship between its two
variables?
22
311
C. The correlation coefficient can have values between_
and
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5. Find the slope of the line.
Length of Spring by
Weight Attached
YA
– 30
– 25
– 20
(5,18)
Length (in inches)
15
(2,12)
10
– 5
1
6
2 3 4 5
Weight (in lbs)
Extra credit
Let y represent the total cost of hosting an event (in dollars). Let x represent the
number of people attending the event. Suppose that x and y are related by the
equation 1500 +20x = y
a. What is the change in the total cost for each person attending?
b. What is the cost to get started (before any people attend)?
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