Question
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
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=16.21111cm. Using the regression found from thedata, a height of 185cm is used to find that the predicted weight is 91.7kg and the95% prediction interval is (59.5kg,123.9kg). statement that interprets that prediction interval. What is the major advantage of using a prediction interval instead of simply using the predicted weight of 91.7kg? Why is the terminology of prediction interval used instead of confidenceinterval? statement that interprets the prediction interval. Choose the correct answer below.
A.
There is a95% probability that the limits of 59.5 kg and 123.9 kg contain the value of the weight for a male with a height of 185cm.
B.
We have95% confidence that the limits of 59.5 kg and 123.9 kg contain the mean weight of all males of height 185cm.
C.
We have95% confidence that the limits of 59.5 kg and 123.9 kg contain the value of the weight for a male with a height of 185cm.
D.
There is a95% probability that the limits of 59.5 kg and 123.9 kg contain the mean weight of all males of height 185cm.
What is the major advantage of using a prediction interval instead of simply using the predicted weight of 91.7kg?
A.
The advantage of using a prediction interval is that it gives a range of likely weights instead of a singlevalue, but not as large of a range as a confidenceinterval, so the prediction is more accurate.
B.
The advantage of using a prediction interval is that it gives a range of weights that contains the truevalue, as opposed to the predictedweight, which is an estimate of the true value and may or may not be accurate.
C.
There is no advantage to using a prediction interval instead of a predicted value.
D.
The advantage of using a prediction interval is that it gives a range of likelyweights, so we have a sense of how accurate the predicted weight is likely to be.
Why is the terminology of prediction interval used instead of confidenceinterval?
A.
A prediction interval and a confidence interval areidentical, but the terminology of confidence intervals is used inregression, while a prediction interval is used to find the measure of center of a single variable.
B.
A prediction interval is used for an interval estimate of a populationparameter, whereas a confidence interval is used for an interval estimate of a variable.
C.
A prediction interval is used for an interval estimate of avariable, whereas a confidence interval is used for an interval estimate of a population parameter.
D.
A prediction interval and a confidence interval areidentical, but the terminology of prediction intervals is used inregression, while a confidence interval is used to find the measure of center of a single variable.
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