4. A statistical researcher wishes to investigate the relationship between a student’s study time and their...

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Statistics

4. A statistical researcher wishes to investigate therelationship between a student’s study time and their ultimate examgrade for that exam. The following data is determined:

X=study time(hours)

4

7

8

9

12

Y=exam grade (1 to 25 scale)

11

16

14

22

17

Ex=40    Ex2=354         and Exy=670

Ey=80      Ey2=1346

  1. Sketch the scatter diagram. Does the trend appear to bepositive or negative?
  2. given that E(x-xbar)2=34, Please use that comment tohelp determine the sample standard deviation for the X data.
  3. Given that [n*Ey2-(Ey)2]=330, Please usethat comment to help determine the sample standard deviation forthe Y data. explain
  4. Please determine the regression equation “y=a+bx” for thesedata. explain
  5. Please use your Part D regression equation to predict the examgrade for the sixth student who happened to take 10 hours to studyfor the exam. explain
  6. please determine the sample linear correlation coefficient forthis data. explain

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