In this problem, we use your critical values table to explore the significance of r based on different sample sizes. Critical Values for Correlation Coefficient r a = 0.05 a = 0.01 0.05 יח a = a = 0.01 a = 0.05 = 0.01 3 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) Is a sample correlation coefficient p 0.84 significant at the a = 0.01 level based on a sample size of n = 4 data pairs? What about n = 10 data pairs? (Select all that apply.) %3D Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 4 and a = 0.01. %3D No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 4 and a = 0.01. %3D %3D Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 4 and a = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 4 and a = 0.01. Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 10 and a = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 10 and a = 0.01. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 10 and a = 0.01. %3D Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 10 and a = 0.01. 0.05 level based on a sample size of n = 15 data pairs? What about n = 27 data pairs? (Select all that apply.) (b) Is a sample correlation coefficient p Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 15 and a = 0.05. 0.43 significant at the a = No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 15 and a = 0.05. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 27 and a = 0.05. Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 27 and a = 0.05. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 15 and a = 0.05. %3D Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 15 and a = 0.05. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 27 and a = 0.05. 4:55 PM Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 27 and a = 0.05. ENG

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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In this problem, we use your critical values table to explore the significance of r based on different sample sizes.
Critical Values for Correlation Coefficient r
a = 0.05
a = 0.01
0.05
יח
a =
a = 0.01
a = 0.05
= 0.01
3
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) Is a sample correlation coefficient p
0.84 significant at the a =
0.01 level based on a sample size of n = 4 data pairs? What about n = 10 data pairs? (Select all that apply.)
%3D
Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 4 and a = 0.01.
%3D
No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 4 and a = 0.01.
%3D
%3D
Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 4 and a = 0.01.
No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 4 and a = 0.01.
Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 10 and a = 0.01.
No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 10 and a = 0.01.
No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 10 and a = 0.01.
%3D
Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 10 and a = 0.01.
0.05 level based on a sample size of n = 15 data pairs? What about n = 27 data pairs? (Select all that apply.)
(b) Is a sample correlation coefficient p
Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 15 and a = 0.05.
0.43 significant at the a =
No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 15 and a = 0.05.
No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 27 and a = 0.05.
Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 27 and a = 0.05.
No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 15 and a = 0.05.
%3D
Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 15 and a = 0.05.
No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 27 and a = 0.05.
4:55 PM
Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 27 and a = 0.05.
ENG
Transcribed Image Text:In this problem, we use your critical values table to explore the significance of r based on different sample sizes. Critical Values for Correlation Coefficient r a = 0.05 a = 0.01 0.05 יח a = a = 0.01 a = 0.05 = 0.01 3 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) Is a sample correlation coefficient p 0.84 significant at the a = 0.01 level based on a sample size of n = 4 data pairs? What about n = 10 data pairs? (Select all that apply.) %3D Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 4 and a = 0.01. %3D No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 4 and a = 0.01. %3D %3D Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 4 and a = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 4 and a = 0.01. Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 10 and a = 0.01. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 10 and a = 0.01. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 10 and a = 0.01. %3D Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 10 and a = 0.01. 0.05 level based on a sample size of n = 15 data pairs? What about n = 27 data pairs? (Select all that apply.) (b) Is a sample correlation coefficient p Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 15 and a = 0.05. 0.43 significant at the a = No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 15 and a = 0.05. No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 27 and a = 0.05. Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 27 and a = 0.05. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 15 and a = 0.05. %3D Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 15 and a = 0.05. No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 27 and a = 0.05. 4:55 PM Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 27 and a = 0.05. ENG
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