Chapter 4, Problem 13CR

(a)

To determine

To find: The approximation for the height of the student.

Answer to Problem 13CR

The approximate height of the student with shoe size 9 is 65 inches that is the average of 64 and 66.

Explanation of Solution

Given:

The given table is shown in Table 1

Table 1

Height x	Shoe size y
64	9
62	7
70	12
63	8
72	13
68	9.5
66	9
74	13.5
68	10
59	6.5

Calculation:

Approximation refers to the interpolation, than from the given data the approximate height of the student with shoe size 9 is 65 inches that is the average of 64 and 66.

(b)

To determine

To find: The prediction for the shoe size of the student whose height is 60 inches.

Answer to Problem 13CR

The shoe size of the student is $6.5$ .

Explanation of Solution

Given:

The given table is shown in Table 1

Table 1

Height x	Shoe size y
64	9
62	7
70	12
63	8
72	13
68	9.5
66	9
74	13.5
68	10
59	6.5

Calculation:

The prediction is the extrapolation that means that the model is used to get the result as for $x=60$ the value of $y=6.5$