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
6. In a study on caffeine and stress, college students indicated how many cups of coffee they drink per day and their current stress level on a scale of 1 to 10. The table shows the survey results. Using a web-calculator, obtain the appropriate correlation coefficients.
Number of cups of coffee Stress level
3 5
2 3
4 3
6 9
5 4
1 2
7 10
3 5
We do not do your work for you. Once you have answered your questions, we will be happy to give you feedback on your work. Although it might require more time and effort, you will learn more if you do your own work. Isn't that why you go to school?
I assume you can find the web calculator.
IQ | 1.0000
Psy | 0.5923 1.0000
Stat | 0.7367 0.7105 1.0000
a. corr(iq, psych) = 0.5923; coeff. of det. = 0.3508.
b. corr(iq, stat) = 0.7367; coeff. of det. = 0.5576.
c. corr(stat, psych) = 0.7105; coeff. of det. = 0.5048.
In a study on caffeine and stress, college students indicated how many cups of coffee they drink per day and their current stress level on a scale of 1 to 10. The table shows the survey results. Using a web-calculator, obtain the appropriate correlation coefficients.
Number of cups of coffee Stress level
3 5
2 3
4 3
6 9
5 4
1 2
7 10
3 5
my professor says it The correlation coefficient is 0.8519. I don't understand how he arrived at this could someone please show me step by step that he would get this answer... Thank you
To obtain the Pearson's r and coefficient of determination for each relationship, you will need to use a web-calculator or statistical software that can calculate correlation coefficients. Here's how you can do it:
For the relationship between IQ and psychology scores:
- Make a list of the IQ scores and the psychology scores from the table.
- Enter the IQ scores and psychology scores into the appropriate sections of the web-calculator or statistical software.
- Calculate the Pearson's r for these two variables.
- The Pearson's r value will indicate the strength and direction of the relationship between IQ and psychology scores.
- To obtain the coefficient of determination, square the Pearson's r value. The coefficient of determination represents the proportion of variance in the psychology scores that can be explained by the IQ scores.
Repeat the same process for the relationships between IQ and statistics scores, as well as psychology scores and statistics scores.
For the caffeine and stress study:
- Make a list of the number of cups of coffee and stress levels from the table.
- Enter the number of cups of coffee and stress levels into the appropriate sections of the web-calculator or statistical software.
- Calculate the Pearson's r for these two variables.
- The Pearson's r value will indicate the strength and direction of the relationship between the number of cups of coffee and stress levels.
Using the above steps, you can obtain the correlation coefficients for all the relationships mentioned in the tables.