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1. Given the data on the nutritional content of some bottle of pineapple juice, containing certain number of calories and amount of water added whose

1. Given the data on the nutritional content of some bottle of pineapple juice, containing certain number of calories and amount of water added whose maximum value is at most 100 ml.

% Water

91.8

90.7

88.9

92.5

90.1

91.8

93.0

87.8

89.6

99.3

Calories

41

36

40

41

37

36

39

46

44

39

  1. Determine the linear correlation coefficient for the relationship between number of calories and amount of water added for some bottles of pineapple juice.

  1. Interpret the strength of relationship for the two variables based on the calculated Pearsonrvalue in (a).

2.Given the data with the nutritional content for some bottle of pineapple juice consumed at a certain restaurant, that contains certain number of calories and amount of water added whose maximum value is at most 100 ml.

% Water

91.8

90.7

88.9

92.5

90.1

91.8

93.0

87.8

89.6

99.3

Calories

41

36

40

41

37

36

39

46

44

39

a. Find the prediction equation of the regression line for the data using the least

squares method.

b) Construct the scatter plot of the data and the regression line.

c) Use the regression equation to predict the number of calories for a bottle of juice

consumed at a certain restaurant whenever the proportion of water added is 92 ml.

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