(a) Compute the value of the correlation coefficient.

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Water and Carbohydrates Here are the number of grams of water and the number of grams of carbohydrates for a random selection of raw foods (100 g each). Is there a linear relationship between the variables?

 

Water
  
   74.69
   81.33
   79.42
   77.37
   77.87
   73.70
   85.47
Carbs
  
   23.36
   16.65
   20.64
   20.33
   21.73
   23.35
   16.85

 

(a) Compute the value of the correlation coefficient. Round your answer to at least three decimal places.

 

r=

 

(b) Stat the hypotheses.

 

H0:

H1:

 

(c) Test the significance of the correlation coefficient at a=0.01 and 0.10 using The Critical Values for the PPMC Table.

Critical value(s): ±

Reject/do not reject the null hypothesis

Reject/do not reject the null hypothesis

(d) Give a brief explanation of the type of relationship.

There is/is not (Choose one) a significant

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