Interpret this correlation coefficient. What does this mean for the relationship between age and field goal percentage? Do players seem to make more shots or fewer shots as they get older? Was the claim that older players are more accurate correct? why or why not? PlayerJimmy ButlerBam AdebayoDuncan RobinsonTyler HerroKendrick NunnTrevor ArizaVictor OladipoKelly OlynykGoran DragićAndre IguodalaAvery BradleyNemanja BjelicaGabe VincentDewayne DedmonMax StrusKZ OkpalaPrecious AchiuwaMaurice HarklessMeyers LeonardChris SilvaUdonis HaslemData tableField Goal Percentage X49.75743.943.948.541.137.243.143.238.34743.537.870.845.537.554.438.542.969.2100Age Y312326212535282934373032243124212127282440

Given the data table containing Field Goal Percentage X and Age Y.

Answered: Interpret this correlation coefficient.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Interpret this correlation coefficient. What does this mean for the relationship between age and field goal percentage? Do players seem to make more shots or fewer shots as they get older? Was the claim that older players are more accurate correct? why or why not?

Player
Jimmy Butler
Bam Adebayo
Duncan Robinson
Tyler Herro
Kendrick Nunn
Trevor Ariza
Victor Oladipo
Kelly Olynyk
Goran Dragić
Andre Iguodala
Avery Bradley
Nemanja Bjelica
Gabe Vincent
Dewayne Dedmon
Max Strus
KZ Okpala
Precious Achiuwa
Maurice Harkless
Meyers Leonard
Chris Silva
Udonis Haslem
Data table
Field Goal Percentage X
49.7
57
43.9
43.9
48.5
41.1
37.2
43.1
43.2
38.3
47
43.5
37.8
70.8
45.5
37.5
54.4
38.5
42.9
69.2
100
Age Y
31
23
26
21
25
35
28
29
34
37
30
32
24
31
24
21
21
27
28
24
40

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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