Final answer:
To calculate the correlation coefficient, follow these steps: calculate the mean, calculate the differences, calculate the products of the differences, and finally, calculate the correlation coefficient.
Step-by-step explanation:
To calculate the correlation coefficient, r, you need to follow these steps:
- Calculate the mean of the x-values and the mean of the y-values.
- Calculate the difference between each x-value and the mean of the x-values, and the difference between each y-value and the mean of the y-values.
- Calculate the product of these differences for each data point.
- Sum up all the products of differences and divide by the product of the standard deviations of the x-values and y-values.
- The result is the correlation coefficient, r.
In this case, the data given is the hours spent studying (x-values) and the midterm grades (y-values) of 10 students. To calculate the correlation coefficient, you will need to use the formula mentioned above and plug in the values from the given data.