Correlation Coefficients: Find Pearson's Correlation Coefficient
Sample question: Find the value of the correlation coefficient from the following table: Subject 1 43 99 2 21 65 3 25 79 4 42 75 5 57 87 6 59 81 Step 1:Make a chart. Use the given data, and add three more columns: xy, x2, and y2. Subject xy x2 y2 1 43 99 2 21 65 3 25 79 4 42 75 5 57 87 6 59 81 Step 2::Multiply x and y together to fill the xy column. For example, row 1 would be 43 × 99 = 4,257. Subject xy x2 y2 1 43 99 4257 2 21 65 1365 3 25 79 1975 4 42 75 3150 5 57 87 4959 6 59 81 4779 Step 3: Take the square of the numbers in the x column, and put the result in the x2 column. Subject xy x2 y2 1 43 99 4257 1849 2 21 65 1365 441 3 25 79 1975 625 4 42 75 3150 1764 5 57 87 4959 3249 6 59 81 4779 3481 Step 4: Take the square of the numbers in the y column, and put the result in the y2 column. Subject xy x2 y2 1 43 99 4257 1849 9801 2 21 65 1365 441 4225 3 25 79 1975 625 6241 4 42 75 3150 1764 5625 5 57 87 4959 3249 7569 6 59 81 4779 3481 6561 Step 5:
Sample question: Find the value of the correlation coefficient from the following table: Subject 1 43 99 2 21 65 3 25 79 4 42 75 5 57 87 6 59 81 Step 1:Make a chart. Use the given data, and add three more columns: xy, x2, and y2. Subject xy x2 y2 1 43 99 2 21 65 3 25 79 4 42 75 5 57 87 6 59 81 Step 2::Multiply x and y together to fill the xy column. For example, row 1 would be 43 × 99 = 4,257. Subject xy x2 y2 1 43 99 4257 2 21 65 1365 3 25 79 1975 4 42 75 3150 5 57 87 4959 6 59 81 4779 Step 3: Take the square of the numbers in the x column, and put the result in the x2 column. Subject xy x2 y2 1 43 99 4257 1849 2 21 65 1365 441 3 25 79 1975 625 4 42 75 3150 1764 5 57 87 4959 3249 6 59 81 4779 3481 Step 4: Take the square of the numbers in the y column, and put the result in the y2 column. Subject xy x2 y2 1 43 99 4257 1849 9801 2 21 65 1365 441 4225 3 25 79 1975 625 6241 4 42 75 3150 1764 5625 5 57 87 4959 3249 7569 6 59 81 4779 3481 6561 Step 5:
The answer is: 2868 / 5413.27 = 0.529809
- 6(20,485) – (247 × 486) / [√[[6(11,409) – (2472)] × [6(40,022) – 4862]]]
=0.5298
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