Complete the table below and follow the steps in solving Pearson’s Product Momentcorrelation coefficient (r).

MATLAB: An Introduction with Applications
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Use Pearson’s Product Moment correlation coefficient (r) to find the relationship between the independent variable (hour spent in studying) to the dependent variable (achievement score).

Complete the table below and follow the steps in solving Pearson’s Product Momentcorrelation coefficient (r). Round off your answer into two decimal places.

Hour spent in
studying
(x)
1
Respondents
Achievement
ху
y?
score (y)
10
A
10
1
100
В
1
25
25
(6)
4
625
(10)
C
2
40
(1)
(2)
2
27
4
(11)
E
2
20
(3).
(12)
(7).
6.25
F
2.5
26
65
(13).
G
40
(14).
120
(4).
H
3
20
(8)
(15),
I
4
42
(5).
(9)
1764
4
45
180
16
2025
N = 10
Σχ=24.5
ΣΥ- 295
Σχy- 802
Ex? = 70.25 E y² =9,919
%3D
Transcribed Image Text:Hour spent in studying (x) 1 Respondents Achievement ху y? score (y) 10 A 10 1 100 В 1 25 25 (6) 4 625 (10) C 2 40 (1) (2) 2 27 4 (11) E 2 20 (3). (12) (7). 6.25 F 2.5 26 65 (13). G 40 (14). 120 (4). H 3 20 (8) (15), I 4 42 (5). (9) 1764 4 45 180 16 2025 N = 10 Σχ=24.5 ΣΥ- 295 Σχy- 802 Ex? = 70.25 E y² =9,919 %3D
Formula of Pearson's Product Moment correlation coefficient (r)
where:
n(Σxν)-Σx) (Σν)
r =
V[n£x2-(Ex)²][n£y²-(Ey)²]
n = number of
respondents
x = independent variable
Substitute the given to the formula.
y = dependent variable
10(802)-(24.5)(295)
r =
V[10(70.25)–(24.5)²][10(9,919)–(295)²]
8020 –
r =
V[702.5 –
-87,025]
r =
r =
1,243,871.25
Transcribed Image Text:Formula of Pearson's Product Moment correlation coefficient (r) where: n(Σxν)-Σx) (Σν) r = V[n£x2-(Ex)²][n£y²-(Ey)²] n = number of respondents x = independent variable Substitute the given to the formula. y = dependent variable 10(802)-(24.5)(295) r = V[10(70.25)–(24.5)²][10(9,919)–(295)²] 8020 – r = V[702.5 – -87,025] r = r = 1,243,871.25
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