Is the value of |r| large enough to conclude that weight and age of Shetland ponies are correlated

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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(a) Look at the data below regarding the variables x = age of a Shetland pony and y = weight of that pony. Is the value of |r| large enough to conclude that weight and age of Shetland ponies are correlated? Use ? = 0.05. (Round your answer for r to four decimal places.)
x 3 6 12 18 21
y 60 95 140 176 174

CRITICAL R =______

R =______

 

 

 

 

The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient p (Greek letter rho)? You do not know haow to build
the formal structure of hypothesis tests of p yet. However, there is a quick way to determine if the sample evidence based on a is strong enough to conclude that there is some
population correlation between the variables. In other words, we can use the value of r to determine ifp0. We do this by comparing the value Ir to an entry in the
correlation table. The value of a in the table gives us the prebability of concluding that pO when, in fact, and there is no population correlation. We have two choices
for a a 0.05 or a 0.01.
Cal Valas fer Coma Cdet
00s 00
0.0
1.00
100
13
23
041
ass
095
099
14
0.66
24
040
I5
044
25
092
16
050
061
26
a50
0.75
17
048
0.1
27
049
071
OAS
18
047
0.59
20
037
04
067
19
046
29
0.37
047
063
076
20
044
a56
30
0.56
046
0.60
0.75
21
043
055
12
071
22
0.42
054
Transcribed Image Text:The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient p (Greek letter rho)? You do not know haow to build the formal structure of hypothesis tests of p yet. However, there is a quick way to determine if the sample evidence based on a is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of r to determine ifp0. We do this by comparing the value Ir to an entry in the correlation table. The value of a in the table gives us the prebability of concluding that pO when, in fact, and there is no population correlation. We have two choices for a a 0.05 or a 0.01. Cal Valas fer Coma Cdet 00s 00 0.0 1.00 100 13 23 041 ass 095 099 14 0.66 24 040 I5 044 25 092 16 050 061 26 a50 0.75 17 048 0.1 27 049 071 OAS 18 047 0.59 20 037 04 067 19 046 29 0.37 047 063 076 20 044 a56 30 0.56 046 0.60 0.75 21 043 055 12 071 22 0.42 054
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