The scores of the quizzes of five students in both English and Science are: English Science

Student 1 6 8

Student 2 5 5

Student 3 9 6

Student 4 4 7

Student 5 8 9

For English, the mean is 6.4 and the standard deviation is 2.0. For Science, the mean is 7 and the standard deviation is 1.6. Using the formula below or Excel, find the correlation coefficient, r, for this set of scores. Answer choices are rounded to the nearest hundredth. ram-izlet 0

a) 0.23

b) 0.05

c) 0.50

d) 0.42

0.23

Step-by-step explanation:

Given the data:

(x) __(y)__(x - m1) /s1 ___(y-m2) /s2

1 ___6 ___8__ - 0.2 0.625

2 __5 ___ 5__ - 0.7 - 1.25

3 __96__ 1.3 - 0.625

4__ 4 7__ - 1.2 0

5__ 8 9 _ 0.8 1.25

For English :

Mean score(m1) = 6.4

Standard deviation (s1) = 2.0

For Science :

Mean score (m2) = 7.0

Standard deviation (s2) = 1.6

n = number of observations = 5

Correlation Coefficient (r) :

r = 1/(n - 1) Σ[((X - m1) / s1) * ((Y - m2) /s2)]

(-0. 2 * 0.625) + (-0.7 * - 1.25) + (1.3 * - 0.625) + (-1.2 * 0) + (0.8 * 1.25) = 0.9375

r = 0.9375/(5-1)

= 0.234

= 0.23

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are