QUESTION 8 A repair workshop finds it is having a problem with a pressure gauge it uses. It decides to have it checked by a specialist firm. The following data was obtained. Reading of Gauge (bar) x 1.0 1.4 1.8 2.2 2.6 3.0 3.4 3.8 Correct reading y(bar) 0.96 1.33 1.75 2.14 2.58 2.97 3.38 3.75 (d) Find a 95% confidence interval for 1 β (e) Find the correlation coefficient (f) By what percentage is the sum of squares of deviations of y about the mean ( ) yySS is reduced by using ˆ y rather than y as a predictor of . y

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
Problem 1TU: The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t=...
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QUESTION 8
A repair workshop finds it is having a problem with a pressure gauge it uses. It decides to have it
checked by a specialist firm. The following data was obtained.
Reading of Gauge (bar) x 1.0 1.4 1.8 2.2 2.6 3.0 3.4 3.8
Correct reading y(bar) 0.96 1.33 1.75 2.14 2.58 2.97 3.38 3.75
(d) Find a 95% confidence interval for 1 β

(e) Find the correlation coefficient
(f) By what percentage is the sum of squares of deviations of y about the mean ( ) yySS is
reduced by using ˆ y rather than y as a predictor of . y

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