1. Consider the following sample of five LSAT scores:
155 |
155 |
150 |
180 |
175 |
Compute the 40th percentile score.
(a) 155 (b) 160 (c) 160.5 (d) 167.5 (e) none of these responses
2. Consider the below data on years of education and earnings.
Years of Education |
13 |
17 |
12 |
21 |
22 |
Earnings (in 1000’s) |
$25 |
$55 |
$20 |
$80 |
$100 |
Compute the correlation coefficient between years of education and earnings.
(a) .793 (b) -.922 (c) 3.96 (d) .922 (e) .990
Solution :
1)
From given data :
150 , 155 , 155 , 175 , 180
40th percentile = 155
2)
X | Y | XY | X^2 | Y^2 |
13 | 25 | 325 | 169 | 625 |
17 | 55 | 935 | 289 | 3025 |
12 | 20 | 240 | 144 | 400 |
21 | 80 | 1680 | 441 | 6400 |
22 | 100 | 2200 | 484 | 10000 |
n | 5 |
sum(XY) | 5380.00 |
sum(X) | 85.00 |
sum(Y) | 280.00 |
sum(X^2) | 1527.00 |
sum(Y^2) | 20450.00 |
Numerator | 3100.00 |
Denominator | 3127.06 |
r | 0.990 |
r square | 0.9828 |
Xbar(mean) | 17.0000 |
Ybar(mean) | 56.0000 |
SD(X) | 4.0497 |
SD(Y) | 30.8869 |
b | 7.5610 |
a | -72.5366 |
r = 0.990
Option E)
1. Consider the following sample of five LSAT scores: 155 155 150 180 175 Compute...
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