5. The table below shows Psychology exam scores, Statistics Exam scores, and IQ scores for a random sample of students. What can you observe in the relationship between IQ and psychology, psychology and statistics, and IQ and statistics? Using a web-calculator, obtain the Pearson’s r and coefficient of determination for the following relationships.
a. Between the IQ and psychology scores
b. Between the IQ and statistics scores
c. Between the psychology scores and statistics scores.
Student number IQ Psychology Statistics
101 142 49 49
102 100 30 32
103 103 36 38
104 121 44 41
105 120 35 42
106 115 47 43
107 101 37 35
108 109 45 47
109 111 30 43
110 115 49 46
Have you used a web-calculator?
http://www.google.com/search?client=safari&rls=en&q=CORRELATION+CALCULATOR&ie=UTF-8&oe=UTF-8
To observe the relationship between IQ and Psychology scores, Psychology and Statistics scores, and IQ and Statistics scores, we can calculate the Pearson's correlation coefficient (r) and the coefficient of determination (r^2).
To calculate these values using a web calculator, follow these steps:
Step 1: Convert the given data into two separate columns: IQ scores and Psychology scores.
IQ scores: 142, 100, 103, 121, 120, 115, 101, 109, 111, 115
Psychology scores: 49, 30, 36, 44, 35, 47, 37, 45, 30, 49
Step 2: Use a web calculator that provides Pearson's r and the coefficient of determination calculations. Many online calculators are available for this purpose.
Step 3: Enter the IQ scores and Psychology scores into the calculator to find the correlation coefficient (r) and coefficient of determination (r^2) for the relationship between IQ and Psychology scores.
Step 4: Repeat steps 1-3 for the IQ scores and Statistics scores and then for the Psychology scores and Statistics scores.
Now let's find the Pearson's r and coefficient of determination for each relationship:
a) Between IQ and Psychology scores:
- IQ scores: 142, 100, 103, 121, 120, 115, 101, 109, 111, 115
- Psychology scores: 49, 30, 36, 44, 35, 47, 37, 45, 30, 49
- Use a Pearson's correlation coefficient calculator to find the correlation coefficient (r) and coefficient of determination (r^2).
b) Between IQ and Statistics scores:
- IQ scores: 142, 100, 103, 121, 120, 115, 101, 109, 111, 115
- Statistics scores: 49, 32, 38, 41, 42, 43, 35, 47, 43, 46
- Use a Pearson's correlation coefficient calculator to find the correlation coefficient (r) and coefficient of determination (r^2).
c) Between Psychology scores and Statistics scores:
- Psychology scores: 49, 30, 36, 44, 35, 47, 37, 45, 30, 49
- Statistics scores: 49, 32, 38, 41, 42, 43, 35, 47, 43, 46
- Use a Pearson's correlation coefficient calculator to find the correlation coefficient (r) and coefficient of determination (r^2).
By following these steps and using a web calculator, you can obtain the values for Pearson's r and the coefficient of determination for each relationship.