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Savatey [412]
3 years ago
15

The table below represents the closing cost of ABC for the last 5 days. What is the r -value of the linear regression that fits

these data?
Day Value
1 20.71
2 19.69
3 19.61
4 19.64
5 19.26

Choices are as follows
A. -0.79631
B. 0.86493
C. 0.91237
D. -0.85650

Mathematics
2 answers:
Tpy6a [65]3 years ago
6 0

Answer: -0.94719

Step-by-step explanation:

Gnoma [55]3 years ago
3 0

Answer:

The correct option is D.

Step-by-step explanation:

The linear regression equation is in the form of

y=bx+a

Where,

b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}

a=\frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}

The formula of r is

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n(\sum x^2)-(\sum x)^2][n(\sum y^2)-(\sum y)^2]}}

The values are

\sum x=15,\sum y=98.91,\sum x^2=55,\sum y^2=1957.8295,\sum xy=293.78, n=5

Using above formula, we get

r=-0.85650

Therefore option D is correct.

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