Information Subject X Y 1 13 15 2 13 15 3 15 11 4 26 34 5 17
Information
Subject X Y
1 13 15
2 13 15
3 15 11
4 26 34
5 17 28
6 16 22
Use above Data for problems 19 to 30
Question 19 (1 point)
N =
Question 19 options:
12
16
6
14
Question 20 (1 point)
df =
Question 20 options:
4
6
15
14
Question 21 (1 point)
With an alpha level of .05 and a two-tail test, what would be a significant correlation coefficient for the above scores (what is the critical value)?
Question 21 options:
.707
.8114
.7067
.5324
Question 22 (1 point)
X =
Question 22 options:
100
36
1860
0
Question 23 (1 point)
X2 =
Question 23 options:
1784
10,001
12100
0
Question 24 (1 point)
XY =
Question 24 options:
12,500
2267
1078
2139
Question 25 (1 point)
Y2 =
Question 25 options:
2718
17956
15625
2995
Question 26 (1 point)
Y =
Question 26 options:
0
2418
521
125
Question 27 (1 point)
the standard deviation of X, or: s.d.x=
Question 27 options:
4.84
7.05
4.42
49.70
Question 28 (1 point)
standard deviation of y, or sdy=
Question 28 options:
59.14
8.84
8.07
8.22
Question 29 (1 point)
r =
Question 29 options:
.65
1.23
.86
.74
Question 30 (1 point)
Is the correlation coefficient for the above data statistically significant?
Question 30 options:
Yes
No
Can\'t be determined from the information given
| 12 | |
| 16 | |
| 6 | |
| 14 |
Solution
Consider the table:
19.
N = 6 here, the number of data points.
20.
df = N - 2 = 4
21.
Using a table, at df = 4, 0.05 level,
rcrit = 0.8114
22.
From the table,
Sum(X) = 100
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| X | Y | X^2 | Y^2 | XY |
| 13 | 15 | 169 | 225 | 195 |
| 13 | 15 | 169 | 225 | 195 |
| 15 | 11 | 225 | 121 | 165 |
| 26 | 34 | 676 | 1156 | 884 |
| 17 | 28 | 289 | 784 | 476 |
| 16 | 22 | 256 | 484 | 352 |
| 100 | 125 | 1784 | 2995 | 2267 |



