The following data gives the number of hours 10 students spent studying and their corresponding grades on their midterm exams. Hours Spent S

Question

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 2 2.5 3.5 4 4.5 5 5.5 6 Midterm Grades 60 63 69 72 78 81 84 87 90 96 Step 3 of 3 : Calculate the correlation coefficient, r. Round your answer to three decimal places.

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Kinsley 2 weeks 2022-01-07T16:22:13+00:00 1 Answer 0 views 0

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    2022-01-07T16:23:16+00:00

    Answer:

    r=\frac{10(2892)-(34.5)(780)}{\sqrt{[10(151.25) -(34.5)^2][10(62100) -(780)^2]}}=0.9975  

    The final answer would be the correlation coefficient r =0.9975

    Step-by-step explanation:

    For this case we have the following data given:

    x: 0.5 1 2 2.5 3.5 4 4.5 5 5.5 6

    y: 60 63 69 72 78 81 84 87 90 96

    And we want to calculate the correlation coefficient, and we have the following formula to do this:

    r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

    For our case we have this:

    n=10  \sum x = 34.5, \sum y = 780, \sum xy = 2892, \sum x^2 =151.25, \sum y^2 =62100  

    And replacing we got:

    r=\frac{10(2892)-(34.5)(780)}{\sqrt{[10(151.25) -(34.5)^2][10(62100) -(780)^2]}}=0.9975  

    The final answer would be the correlation coefficient r =0.9975

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45:7+7-4:2-5:5*4+35:2 =? ( )