The correlation coefficient for a set of 35 ordered pairs (x, y) is -0.968 where x = average number of grams of protein consumed daily and y = the body fat percentage. Which of the following conclusions can be drawn from the r value?
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The correlation coefficient ranges from -1 to 1. An r value of -1 indicates a perfect negative linear relationship, while an r value of 1 indicates a perfect positive linear relationship. An r value of 0 indicates no linear relationship. Show more…
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"Is there a relationship between protein content (in grams) and fat content (in grams) in fast-food hamburgers?" To answer this question nutritionists selected 64 fast-food hamburgers and found the correlation coefficient between protein and fat contents to be r=0.87. Draw the conclusion about the relationship between protein and fat contents in these hamburgers based on provided value of the correlation coefficient. A No linear relationship between protein and fat contents B Strong, linear relationship, and as protein content decreases, fat content increases C Strong, linear relationship, and as protein content increases, fat content increases D None of the above
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Data was collected on the fat and protien content of burgers sold at a number of fast food restaurants and used to establish the following simple linear regression equation Fat = total fat in grams Protien = total protein in grams Fat = 6.8 + 0.97 (Protein) The correlation coefficient for this analysis is r = 0.69 Which statement best describes the relationship between the fat and protein content of burgers at fast food restaurants?
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