Question

In: Statistics and Probability

y x xy xx yy 11.4 0 0 0 129.96 11.9 1 11.9 1 141.61 7.1...

y

x

xy

xx

yy

11.4

0

0

0

129.96

11.9

1

11.9

1

141.61

7.1

2

14.2

4

50.41

14.2

3

42.6

9

201.64

5.9

4

23.6

16

34.81

6.1

5

30.5

25

37.21

5.4

6

32.4

36

29.16

3.1

7

21.7

49

9.61

5.7

8

45.6

64

32.49

4.4

9

39.6

81

19.36

4

10

40

100

16

2.8

11

30.8

121

7.84

2.6

12

31.2

144

6.76

2.4

13

31.2

169

5.76

5.2

14

72.8

196

27.04

2

15

30

225

4

94.2

120

498.1

1240

753.66

  1. What is the Best Fit Line Equation for the 16 points based on Least Squares Linear Regression?  
  2. Use the Equation to estimate Y if X = 3.5                          
  3. What is the Correlation Coefficient and what does the value tell you about the correlation between X and Y
  4. What is the Coefficient of Determination and what does the value tell you about the correlation between X and Y?

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y x xy xx yy 11.4 0 0 0 129.96 11.9 1 11.9 1 141.61 7.1...
y x xy xx yy 11.4 0 0 0 129.96 11.9 1 11.9 1 141.61 7.1 2 14.2 4 50.41 14.2 3 42.6 9 201.64 5.9 4 23.6 16 34.81 6.1 5 30.5 25 37.21 5.4 6 32.4 36 29.16 3.1 7 21.7 49 9.61 5.7 8 45.6 64 32.49 4.4 9 39.6 81 19.36 4 10 40 100 16 2.8 11 30.8 121 7.84 2.6 12 31.2 144 6.76 2.4 13 31.2 169 5.76 5.2 14 72.8 196 27.04...
y x xy xx yy 11.4 0 0 0 129.96 11.9 1 11.9 1 141.61 7.1...
y x xy xx yy 11.4 0 0 0 129.96 11.9 1 11.9 1 141.61 7.1 2 14.2 4 50.41 14.2 3 42.6 9 201.64 5.9 4 23.6 16 34.81 6.1 5 30.5 25 37.21 5.4 6 32.4 36 29.16 3.1 7 21.7 49 9.61 5.7 8 45.6 64 32.49 4.4 9 39.6 81 19.36 4 10 40 100 16 2.8 11 30.8 121 7.84 2.6 12 31.2 144 6.76 2.4 13 31.2 169 5.76 5.2 14 72.8 196 27.04...
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