Suppose we use a person\'s dad\'s height to predict how short or tall the person
ID: 2907142 • Letter: S
Question
Suppose we use a person's dad's height to predict how short or tall the person will be by building a regression model to investigate if a relationship exists between the two variables. Suppose the confidence/prediction interval results are as follows: Predicted/Fitted Values of Height Lower Predicted Bound 57.739 Lower Fitted Bound 66.451 Predicted Value 67.532 Upper Predicted Bound 77.326 68.613 SE (Predicted Value) 4.9212 0.5432 67.532 Fitted Value Upper Fitted Bound SE (Fitted Value Unusualness (Leverage) 0.0123 Percent Coverage Corresponding T Predictor Values: DadsHt-70.000 Fill in the blank to interpret the numbers highlighted above: We are 95% confident that the falls between 57.739 and 77.326 inches. 95 1.99 average height of all people whose fathers are 70 inches tall the average height of all people F4 FS FsExplanation / Answer
The prediction interval is the range that contains the value of single new observation.
Interpretation of prediction interval for Dad’s height 70:
We are 95 % confident that the height of a single person whose father is 70 inches tall falls in between 57.739 and 77.326 inches.
For the given value of x, the prediction interval is associated with predicted value of y while the confidence interval associated average value of y.