91.0k views
2 votes
X. Y

0. 2
1. 8
2. 30
3. 130
4. 512

what is the regression model of the table?



User Sneal
by
7.7k points

1 Answer

5 votes

Answer: the regression model for the given table is y = 22x^2 + 7x - 2.

Explanation:

We can use the method of least squares to find the regression model of the table. The regression model is of the form y = ax^2 + bx + c, where a, b, and c are constants to be determined.

First, we can find the values of the sums:

Σx = 10

Σy = 682

Σx^2 = 30

Σy^2 = 71684

Σxy = 1462

Next, we can use these values to find the values of a, b, and c:

a = [nΣxy - (Σx)(Σy)] / [nΣx^2 - (Σx)^2]

= [(5)(1462) - (10)(682)] / [(5)(30) - (10)^2]

= 22

b = [Σy - aΣx^2 - cΣx] / n

= [682 - (22)(30) - c(10)] / 5

= 7

c = [Σy - aΣx^2 - bΣx] / n

= [682 - (22)(30) - (7)(10)] / 5

= -2

User Waqas Ali
by
8.1k points

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