Question

1. The following data have been observed on the dependent variable Y and on an explanatory variable X:

yi 22 38 16 39 55

xi 10 35 20 30 20

(a) Calculate the ordinary least squares (OLS) estimates of the
intercept and slope parameters.

(b) Calculate the sample variance of both variables (S²x and S²y)
and the sample correlation between X

and Y . Explain what the calculated value of the correlation
means.

Answer #1

A)

B)

The values are positively correlated but correlation is not strong.

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x
y
5
3
1
4
3
5
8
6
3
1
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Given the following data set, let x be the explanatory
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x
8
2
2
6
6
3
1
y
3
8
9
6
4
7
9
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Question 18 options:
a)
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c)
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B 21.6333
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D 44.4185
2）
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