Answered step by step
Verified Expert Solution
Question
1 Approved Answer
Let the predictor variable x represent heights of males and let response variable y represent weights of males. A sample of 153 heights and
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 se = 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. B. 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. D. 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. What is the major advantage of using a prediction interval instead of simply using the predicted weight of 91.7 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. OB. 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. C. There is no advantage to using a prediction interval instead of a predicted value. OD. 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.
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started