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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, = 16.90585 cm. Using the regression found from the data, a height of 180 cm is used to find that the predicted weight is 91.9 kg and the 95% prediction interval is (58.3 kg, 125.5 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 91.9 kg? Why is the terminology of prediction interval used instead of confidence interval?

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, = 16.90585 cm. Using the regression found from the data, a height of 180 cm is used to find that the predicted weight is 91.9 kg and the 95% prediction interval is (58.3 kg, 125.5 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 91.9 kg? Why is the terminology of prediction interval used instead of confidence interval?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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. = 16.90585 cm. Using the regression found from the data, a height of 180 cm is used to find that the predicted weight is 91.9 kg and the 95% prediction interval is (58.3 kg, 125.5 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 91.9 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 125.5 kg contain the value of the weight for a male with a height of 180 cm. B. There is a 95% probability that the limits of 58.3 kg and 125.5 kg contain the mean weight of all males of height 180 cm. O C. We have 95% confidence that the limits of 58.3 kg and 125.5 kg contain the value of the weight for a male with a height of 180 cm. D. We have 95% confidence that the limits of 58.3 kg and 125.5 kg contain the mean weight of all males of height 180 cm. What is the major advantage of using a prediction interval instead of simply using the predicted weight of 91.9 kg? A. The advantage of using a prediction interval is that it gives a range of weights that contains the true value, as opposed to the predicted weight, which is an estimate of the true value and may or may not be accurate. B. There is no advantage to using a prediction interval instead of a predicted value. O C. The advantage of using a prediction interval is that it gives a range of likely weights, so we have a sense of how accurate the predicted weight is likely to be. D. The advantage of using a prediction interval is that it gives a range of likely weights instead of a single value, but not as large of a range as a confidence interval, so the prediction is more accurate. Why is the terminology of prediction interval used instead of confidence interval? A. A prediction interval is used for an interval estimate of a variable, whereas a confidence interval is used for an interval estimate of a population parameter. O B. A prediction interval and a confidence interval are identical, but the terminology of confidence intervals is used in regression, while a prediction interval is used to find the measure of center of a single variable. C. A prediction interval is used for an interval estimate of a population parameter, whereas a confidence interval is used for an interval estimate of a variable. O D. A prediction interval and a confidence interval are identical, but the terminology of prediction intervals is used in regression, while a confidence interval is used to find the measure of center of a single variable.
Transcribed Image Text: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. = 16.90585 cm. Using the regression found from the data, a height of 180 cm is used to find that the predicted weight is 91.9 kg and the 95% prediction interval is (58.3 kg, 125.5 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 91.9 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 125.5 kg contain the value of the weight for a male with a height of 180 cm. B. There is a 95% probability that the limits of 58.3 kg and 125.5 kg contain the mean weight of all males of height 180 cm. O C. We have 95% confidence that the limits of 58.3 kg and 125.5 kg contain the value of the weight for a male with a height of 180 cm. D. We have 95% confidence that the limits of 58.3 kg and 125.5 kg contain the mean weight of all males of height 180 cm. What is the major advantage of using a prediction interval instead of simply using the predicted weight of 91.9 kg? A. The advantage of using a prediction interval is that it gives a range of weights that contains the true value, as opposed to the predicted weight, which is an estimate of the true value and may or may not be accurate. B. There is no advantage to using a prediction interval instead of a predicted value. O C. The advantage of using a prediction interval is that it gives a range of likely weights, so we have a sense of how accurate the predicted weight is likely to be. D. The advantage of using a prediction interval is that it gives a range of likely weights instead of a single value, but not as large of a range as a confidence interval, so the prediction is more accurate. Why is the terminology of prediction interval used instead of confidence interval? A. A prediction interval is used for an interval estimate of a variable, whereas a confidence interval is used for an interval estimate of a population parameter. O B. A prediction interval and a confidence interval are identical, but the terminology of confidence intervals is used in regression, while a prediction interval is used to find the measure of center of a single variable. C. A prediction interval is used for an interval estimate of a population parameter, whereas a confidence interval is used for an interval estimate of a variable. O D. A prediction interval and a confidence interval are identical, but the terminology of prediction intervals is used in regression, while a confidence interval is used to find the measure of center of a single variable.
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