LINEAR REGRESSION AND CORRELATION Table 14.22 shows the first two grades (denoted by X and Y,…

LINEAR REGRESSION AND CORRELATION Table 14.22 shows the first two grades (denoted by X and Y,…

LINEAR REGRESSION AND CORRELATION

Table 14.22 shows the first two grades (denoted by X and Y, respectively) of 10 students on two short quizzes in biology.

(a) Construct a scatter diagram.

(b) Find the least-squares regression line of Y on X.

(c) Find the least-squares regression line of X on Y.

(d) Graph the two regression lines of parts (b) and (c) on the scatter diagram of part (a).

Find (a) sY.X and (b) sX.Y for the data.

Grade on first quiz (X)

6

5

8

8

7

6

10

4

9

7

Grade on second quiz (Y)

8

7

7

10

5

8

10

6

8

6

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