Using the data in the StudentSurvey dataset containing the students\' weight and

Question

Using the data in the StudentSurvey dataset containing the students' weight and height, we use technology to find that a regression line to predict weight (in pounds) from height (in inches) is Weight--170 +4.82 (Height). Click here for the dataset associated with this question. (a) What weight does the line predict for a person who is 5 feet tall (60 inches)? Round your answer to one decimal place. Weight What weight is predicted for someone 6 feet tall (72 inches)? Round your answer to two decimal places. pounds Weighi pounds LINK TO TEXT (b) What is the slope of the line? Round your answer to two decimal places. Interpret it in context. The slope gives the absolute tolerance is +/-0.01 SHOW HINT LINK TO TEXT (c) Does the intercept make sense in this context? Yes No LINK TO TEXT (d) What weight does the regression line predict for a baby who is 20 inches long? Round your answer to one decimal place. Weight Why is it not appropriate to use the regression line in this case? It is because pounds the absolute tolerance is +/-0.1

Explanation / Answer

A)

For height 60 inches weight is 119.2 pounds

For height 72 inches weight is 177.04 pounds

B)

The slope of the line is +4.82.

Slope gives the change in value of weight with one unit change in value of height

C)

No the intercept does not make sense in this context because for smaller heights the weight is negative which is not possible. Also the regression line can not be extrapolated.

D)

For height 20 inches the weight is -73.6 pounds

This is because the intercept is negative and it is extrapolated out of the data. The data cannot contain such point.

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