Question

In: Statistics and Probability

Consider the following collected observations on the independent (X) and dependent variable (Y). Can we determine...

Consider the following collected observations on the independent (X) and dependent variable (Y).

  1. Can we determine the relation between X and Y wit the Pearson coefficient of correlation and why? If yes, determine it and interpret.
  2. Test the significance of this coefficient of correlation at 5% level.

X

Y

XY

X2

Y 2

errors

squared errors

1

6

82

492

36

6724

1,24

1,53

2

2

86

172

4

7396

-9,25

85,54

3

15

43

645

225

1849

-5,16

26,67

4

9

74

666

81

5476

4,10

16,85

5

12

58

696

144

3364

-1,03

1,06

6

5

90

450

25

8100

5,62

31,55

7

8

78

624

64

6084

4,48

20,09

Total

57

511

3745

579

38993

183,29
  1. Can we determine the relation between X and Y with a linear regression model? explain.
  2. Determine the linear regression between X and Y and interpret.
  3. Test the significance of this regression coefficient (b1) at 5% level.
  4. Determine the coefficient of determination and interpret.
  5. Determine the point estimate and interval estimate associate to X=10 (α = 5%).

Solutions

Expert Solution

orchestra answered 1 year ago
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