This document summarizes the steps to determine if there is a significant correlation between math and English scores. It calculates the Pearson correlation coefficient (r) between the math and English scores of 6 students. It finds r=0.221, which indicates a weak positive correlation. It will need to perform a t-test to determine if this correlation is statistically significant, using df=4 and comparing r to the table value. The final step will be to analyze the results and determine if the null hypothesis that there is no significant difference between math and English scores can be rejected.

1. ANIYAH A. SAIDAR
ProFindif there is a significant between Math and English
Where r= correlation coefficient
N= number of cases N= 6
1. Statement of the Problem and Hypothesis
Problem: Find if there is a significant between Math and English
𝐻0: There is no significant difference in between Math Score and English Score.
2. Solve for the correlation coefficient (Pearson r)
Where r= correlation coefficient
N= number of cases N= 6
XY= are the variables
r= 6( 𝟑𝟔, 𝟗𝟐𝟔)− (464)(476)
√[ 6( 36,354) − (464)2] [ 6 (38,254)-(476)2
r=221,556-220,864
√[221,556 − 215,296][229,524 − 226,576
Math
(X)
English
(Y)
𝑿 𝟐 𝒀 𝟐 XY
70 74 4900 5476 5180
92 84 8464 7056 7728
80 63 6400 3969 5040
74 87 5476 7569 6438
65 78 4225 6084 5070
83 90 6889 8100 7470
∑ = 𝟒𝟔𝟒
∑=476 ∑𝑿 𝟐=36,354 ∑𝒀 𝟐 =38,254 ∑XY=36,926

2. r=
3. Determine the degree of Correlation
4. Compute for the t-test for correlation
5. Find the df and table value
df= N-2
df= 6-2
df=4

3. 6. Analysis, decision and Findings