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The following data gives the number of hours 10 students spent studying and their corresponding grades on their midterm exams. Hours Spent Studying 0.5 1 1.5 2 2.5 3 3.5 4 5 5.5 Midterm Grades 60 66 69 72 78 87 90 93 96 99 Copy Data Step 3 of 3: Calculate the correlation coefficient, r. Round your answer to three decimal places.

User Jason LiLy
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2 Answers

1 vote

Answer:

3×7

3/54

now,

11.5.tan7×9841

now tan2/que7=28

so answer is 28

User VladutZzZ
by
6.7k points
3 votes

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:

  1. Calculate the mean of the x-values and the mean of the y-values.
  2. 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.
  3. Calculate the product of these differences for each data point.
  4. Sum up all the products of differences and divide by the product of the standard deviations of the x-values and y-values.
  5. 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.

User Exophase
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