Before surgical removal of a diseased parathyroid gland, two tests are often per

Question

Before surgical removal of a diseased parathyroid gland, two tests are often performed: the standard intact test and the turbo test. Both tests measure parathyroid hormone (PTH, in ng/l), but the turbo test is very expensive. Researchers obtained data from both tests in a sample of 48 patients to predict turbo test results (y) from standard intact test results (x). The data ranged from roughly 0 to 500 ng/l, and a scatterplot showed a clear linear relationship. The published findings are summarized exactly as follows: y = 1.08x – 4.36 (r = 0.97; n = 48) For a PTH level of x = 100 ng/l with the standard intact test, the predicted PTH level with the turbo test is 97 ng/l. is 103.64 ng/l. is 112.36 ng/l. cannot be predicted accurately because it would be extrapolating.

Explanation / Answer

Note:- Your question is not clear.Next time you should wirte the question like part (a),part(b)...so on. here part(a),part(b) is subparts of your question,whatever you want to ask...

Extrapolation is the process of finding a value outside a data set. It could even be said that it helps predict the future! To help us remember what it means, we should think of the part of the word 'extra' as meaning 'more' data than what we originally had.

Here we can check from the linear regression that value for 100 intact test is not 97

y=1.08*100-4.36=103.64

so there are definatily extraploting happened and values are more than 48.

for x =103.64 we get y =1.08*103.64-4.36=107.571

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