Complete the following questions to practice using the correlation of determination.

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    1. The first seven square pyramid numbers are shown in the table below. Find the polynomial function that best models this data. Use the coefficient of determination to verify your choice.

Position of pyramid in the sequence
1
2
3
4
5
6
7
Pyramidal number

1

5

14

30

55

91

140

L1 = x-values =

L2 = y-values =

Regression Equation:

      1. Several children were weighed. Their ages and weights are recorded in the table below. Find the polynomial function that best models the children's weight versus age. Use the coefficient of determination to verify your choice.

Age
(months)
Weight (kilograms)
19
9.7
21
10.5
24
11.5
27
13.0
29
14.0
31
14.2
34
14.5
38
15.5
43
17.8

L1 = x-values =

L2 = y-values =

Regression Equation: