ent F 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 how to build the formal structure of hypothesis tests of p yet. Hower there is a quick way to determine if the sample evidence based on p 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 if p 0. We d this by comparing the value Ir| to an entry in the correlation table. The value of g in the table gives us the probability of concluding that p0 when, in fact, p-0 and there is no population correlation. We have two choices for a: a 0.05 or a 0.01. Critkal Values for Correlation Coeffident n0.05 - 0.01 a0.05 a-0.01 a0.05 U-0.01 1.00 1.00 13 0.53 0.68 23 0.41 053 0.95 0.99 14 0.53 0,66 24 0.40 0.52 0.88 0.96 15 0.51 0.64 25 0.40 0.51 0.81 0.92 16 0.50 0.61 26 0.39 0.50 0.75 0.87 17 0.48 0.61 27 0.38 0.49 0.71 083 18 0.47 0.59 28 0.37 0.48 9 0.67 080 19 0.46 0.58 29 0.37 0.47 10 0.63 0.76 20 044 0.56 30 0.36 0.46 11 %3D 0.60 0,73 21 043 0.55 12 0.58 0.71 22 0.42 0.54 (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 Ir| large enough to conclude that weight and age of Shetland ponies are correlated? Use a 0.05. (Round your answer for r to four decimal places.) 3. 12 23 y 60 19 190 95 140 172 A USE SALT critical r Conclusion O Reject the null hypothesis, there is sufficient evidence to show that age and weight of Shetland ponies are correlated. O Reject the null hypothesis, there is insufficient evidence to show that age and weight of Shetland ponies are correlated. O Fail to reject the null hypothesis, there is insufficient evidence to show that age and weight of Shetland ponies are correlated. O Fail to reject the null hypothesis, there is sufficient evidence to show that age and weight of Shetland ponies are correlated. (b) Look at the data below regarding the variables x lowest barometric pressure as a cyclone approaches and y maximum wind speed of the cyclone. Is the value of Ir| large enough to conclude that lowest barometric pressure and wind speed of a cyclone are correlated? Use a - 0.01. (Round your answer for r to four decimal places.) x 1004 y 40 975 100 992 65 935 145 974 930 149 69 critical c
ent F 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 how to build the formal structure of hypothesis tests of p yet. Hower there is a quick way to determine if the sample evidence based on p 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 if p 0. We d this by comparing the value Ir| to an entry in the correlation table. The value of g in the table gives us the probability of concluding that p0 when, in fact, p-0 and there is no population correlation. We have two choices for a: a 0.05 or a 0.01. Critkal Values for Correlation Coeffident n0.05 - 0.01 a0.05 a-0.01 a0.05 U-0.01 1.00 1.00 13 0.53 0.68 23 0.41 053 0.95 0.99 14 0.53 0,66 24 0.40 0.52 0.88 0.96 15 0.51 0.64 25 0.40 0.51 0.81 0.92 16 0.50 0.61 26 0.39 0.50 0.75 0.87 17 0.48 0.61 27 0.38 0.49 0.71 083 18 0.47 0.59 28 0.37 0.48 9 0.67 080 19 0.46 0.58 29 0.37 0.47 10 0.63 0.76 20 044 0.56 30 0.36 0.46 11 %3D 0.60 0,73 21 043 0.55 12 0.58 0.71 22 0.42 0.54 (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 Ir| large enough to conclude that weight and age of Shetland ponies are correlated? Use a 0.05. (Round your answer for r to four decimal places.) 3. 12 23 y 60 19 190 95 140 172 A USE SALT critical r Conclusion O Reject the null hypothesis, there is sufficient evidence to show that age and weight of Shetland ponies are correlated. O Reject the null hypothesis, there is insufficient evidence to show that age and weight of Shetland ponies are correlated. O Fail to reject the null hypothesis, there is insufficient evidence to show that age and weight of Shetland ponies are correlated. O Fail to reject the null hypothesis, there is sufficient evidence to show that age and weight of Shetland ponies are correlated. (b) Look at the data below regarding the variables x lowest barometric pressure as a cyclone approaches and y maximum wind speed of the cyclone. Is the value of Ir| large enough to conclude that lowest barometric pressure and wind speed of a cyclone are correlated? Use a - 0.01. (Round your answer for r to four decimal places.) x 1004 y 40 975 100 992 65 935 145 974 930 149 69 critical c
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:13184#Q4
5.
0.88
0.96
15
0.51
0.64
25
0.40
0.51
6.
0.81
0.92
16
0.50
0.61
26
0.39
0.50
7.
0.75
0.87
17
0.48
0.61
27
0.38
0.49
8.
0.71
0.83
18
0.47
0.59
0.37 0.48
28
9.
0.67
0.80
19
0.46
0.58
29
0.37
0.47
10
0.63
0.76
20
0.44
0.56
30
0.36
0.46
11
0.60
0.73
21
0.43
0.55
12
0.58
0.71
22
0.42
0.54
(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 a
(Round your answer for r to four decimal places.)
0.05.
%3D
3 6
12
23
19
60
95
140
172
190
A USE SALT
critical r
Conclusion
Reject the null hypothesis, there is sufficient evidence to show that age and weight of Shetland ponies are correlated.
Reject the null hypothesis, there is insufficient evidence to show that age and weight of Shetland ponies are correlated.
O Fail to reject the null hypothesis, there is insufficient evidence to show that age and weight of Shetland ponies are correlated.
O Fail to reject the null hypothesis, there is sufficient evidence to show that age and weight of Shetland ponies are correlated.
(b) Look at the data below regarding the variables x = lowest barometric pressure as a cyclone approaches and y
= maximum wind speed of the cyclone. Is the value of Ir| large enough to conclude that lowest barometric
pressure and wind speed of a cyclone are correlated? Use a = 0.01. (Round your answer for r to four decimal places.)
1004
975
992
935
974
930
y
40
100
65
145
69
149
critical r
Conclusion
Reject the null hypothesis, there is sufficient evidence to show that lowest barometric pressure and maximum wind speed for cyclones are correlated.
Reject the null hypothesis, there is insufficient evidence to show that lowest barometric pressure and maximum wind speed for cyclones are correlated.
Fail to reject the null hypothesis, there is insufficient evidence to show that lowest barometric pressure and maximum wind speed for cyclones are correlated.
Fail to reject the null hypothesis, there is sufficient evidence to show that lowest barometric pressure and maximum wind speed for cyclones are correlated.
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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 how 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 p 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 if p # 0. We do
this by comparing the value |r| to an entry in the correlation table. The value of in the table gives us the probability of concluding that p # 0 when, in fact, p = 0 and there is no population correlation. We have two choices for a: a =
0.05 or a = 0.01.
%3D
Critical Values for Correlation Coefficient r
a = 0.05
a = 0.01
0.05
a = 0.01
a = 0.05
O%3D
x = 0.01
1.00
1.00
13
0.53
0.68
23
0.41
0.53
4
0.95
0.99
14
0.53
0.66
24
0.40
0.52
0.88
0.96
15
0.51
0.64
25
0.40
0.51
6.
0.81
0.92
16
0.50
0.61
26
0.39
0.50
0.75
0.87
17
0.48
0.61
27
0.38
0.49
8.
0.71
0.83
18
0.47
0.59
28
0.37
0.48
9.
0.67
0.80
19
0.46
0.58
29
0.37
0.47
10
0.63
0.76
20
0.44
0.56
30
0.36
0.46
11
0.60
0.73
21
0.43
0.55
12
0.58
0.71
22
0.42
0.54
(a) Look at the data below regarding the variables x =
(Round your answer for r to four decimal places.)
age of a Shetland pony and y = weight of that pony. Is the value of Ir| large enough to conclude that weight and age of Shetland ponies are correlated? Use a = 0.05.
%3D
3
12
23
19
60
95
140
172
190
A USE SALT
r
critical r
Conclusion
Reject the null hypothesis, there is sufficient evidence to show that age and weight of Shetland ponies are correlated.
O Reject the null hypothesis, there is insufficient evidence to show that age and weight of Shetland ponies are correlated.
O Fail to reject the null hypothesis, there is insufficient evidence to show that age and weight of Shetland ponies are correlated.
Fail to reject the null hypothesis, there is sufficient evidence to show that age and weight of Shetland ponies are correlated.
(b) Look at the data below regarding the variables x =
lowest barometric pressure as a cyclone approaches and y = maximum wind speed of the cyclone. Is the value of Ir| large enough to conclude that lowest barometric
pressure and wind speed of a cyclone are correlated? Use a =
0.01. (Round your answer for r to four decimal places.)
1004
975
992
935
974
930
40
100
65
145
69
149
critical r
Conclusion
Reject the null hypothesis, there is sufficient evidence to show that lowest barometric pressure and maximum wind speed for cyclones are correlated.
Reinct the null bvnotheeie
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