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Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can
Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. r = 0.367 What is the value of the coefficient of determination? 2 (Round to four decimal places as needed.) Let the predictor variable x represent heights of males and let response variable y represent weights of males. A sample of 153 heights and weights results in s = 16.84215 cm. Using the regression found from the data, a height of 175 cm is used to find that the predicted weight is 91.7 kg and the 95% prediction interval is (58.3 kg, 125.1 kg). Write a statement that interprets that prediction interval. What is the major advantage of using a prediction interval instead of simply using the predicted weight of 91.7 kg? Why is the terminology of prediction interval used instead of confidence interval? Write a statement that interprets the prediction interval. Choose the correct answer below. A. There is a 95% probability that the limits of 58.3 kg and 125.1 kg contain the mean weight of all males of height 175 cm. OB. There is a 95% probability that the limits of 58.3 kg and 125.1 kg contain the value of the weight for a male with a height of 175 cm. C. We have 95% confidence that the limits of 58.3 kg and 125.1 kg contain the mean weight of all males of height 175 cm. OD. We have 95% confidence that the limits of 58.3 kg and 125.1 kg contain the value of the weight for a male with a height of 175 cm.
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