Question

Suppose we have the following values for the linear function relating X and Y (where Y...

Suppose we have the following values for the linear function relating X and Y (where Y is the dependent variable and X is the independent variable:

X Y

0 45

1 25

2 5

What is the value of the slope for this straight line?

Math   Statistics-And-Probability   
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Answer #1

Solution :

X Y XY X^2 Y^2
0 45 0 0 2025
1 25 25 1 625
2 5 10 4 25
n 3
sum(XY) 35.00
sum(X) 3.00
sum(Y) 75.00
sum(X^2) 5.00
sum(Y^2) 2675.00
Numerator -120.00
Denominator 120.00
r -1.0000
r square 1.0000
Xbar(mean) 1.0000
Ybar(mean) 25.0000
SD(X) 0.8165
SD(Y) 16.3299
b -20.0000
a 45.0000

b = -20.0

The value of the slope for this straight line is -20.0 .

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