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The following data show the number of hours studied for an exam,

The following data show the number of hours studied for an exam, x, and the grade received on the exam, (is measured in 10s; that is, y = 8 means that the grade, rounded to the nearest 10 points, is 80).

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x

2

3

3

4

4

5

5

6

6

6

7

7

7

8

8

y

5

5

7

5

7

7

8

6

9

8

7

9

10

8

9

a. Draw a scatter diagram of the data.

b. Find the equation of the line of best fit and graph it on the scatter diagram. y_ 8

c. Find the ordinates that correspond to χ = 2, 3, 4, 5, 6, 7, and 8.

d. Find the five values of that are associated with the points where χ = 3 and χ = 6.

e. Find the variance width= of all the points about the line of best fit.

               

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