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In: Statistics and Probability

The paper “Effect of Temperature on the pH of Skim Milk” (Journal of Dairy Research) reported...

The paper “Effect of Temperature on the pH of Skim Milk” (Journal of Dairy Research) reported on a study involving x = temperature (degrees oC) under specified experimental conditions and y = milk pH. The following data is a representative subset of the data used in the study.

X         14        18        23        24        26        38        38        40

Y         6.89     6.72     6.63     6.64     6.75     6.66     6.57     6.58

                                                                                               

X         45        50        55        56        60        67        70        78

Y         6.59     6.48     6.42     6.41     6.38     6.34     6.32     6.34

a. Graph a scatter plot of X vs. Y. Does this data suggest a linear relationship between temperature and pH? Explain why or why not.

b. Show the estimated linear regression line on the scatter plot in (1.).

c. Calculate the sample correlation between x and y. Would you consider the correlation weak, moderate, or strong?

d. For a give temperature = 20 degrees oC, calculate the estimated value of Y using the regression line equation

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Expert Solution

orchestra answered 1 year ago
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