Question

In: Statistics and Probability

A dog trainer investigates the relationship between dog size (weight in pounds) and its consumption daily...

A dog trainer investigates the relationship between dog size (weight in pounds) and its consumption daily food (measured in standard cups). The result of a sample of 18 observations is the following:

Dog

Weight

Consumption

1

41

3

2

148

8

3

79

5

4

41

4

5

85

5

6

111

6

7

37

3

8

111

6

9

41

3

10

91

5

11

109

6

12

207

10

13

49

3

14

113

6

15

84

5

16

95

5

17

57

4

18

168

9

  1. what is the correlation coefficient?
  2. it is reasonable to conclude that the correlation between the population is greater than 0? Use the 0.05 significance level.
  3. what is the regression equation?
  4. what is the significance of the slope, using a significance level of 0.5 and that b> 0
  5. what is the coefficient of determination?
  6. what is the confidence interval when x = 7 and we have a confidence level of 95%
  7. what is the prediction interval when x = 7 and we have a confidence level of 95%
  8. Draw a scatter diagram.

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