QUESTION THREE 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. 3.8 Reading of Gauge x (bar) 1.0 Correct reading y(bar) 1.4 1.8 3.4 2.2 3.0 2.14 2.58 2.97 3.38 3.75 96 0 1.33 1.75 (a) Find the least squares line for the data (b) Predict the correct reading, y, for a given gauge level of 3.3 (c) Determine at the 5% level whether there is evidence to indicate a linear relationship between reading of x and correct readings y. (d) Find a 95% confidence interval for B, (e) Find the correlation coefficient (f) By what percentage is the sum of squares of deviations of y about the mean (SS) is reduced by using ý rather than y bar as a predictor of y. (g) Give the ANOVA table for the gauge problem.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
100%
(a) Two tire quality experts examine stacks of tires and assign quality ratings to each
tire on a 3-point scare. Let X denote the grade given by experts A and let Y
denote the grade given by B. The following table gives the joint distribution for
XX
3.
0.02
1.
0.05
0.10
0.10
1.
0.35
3
0.10
0.20
Find P(X=1, Y=3)
Find P(X2 2,Y 2 3)
Find the marginal distribution of x
Find the marginal distribution of Y
V.
Find P(X 2 1| Y = 2)
Find the conditional distribution of X|Y = 2
Calculate the correlation coefficient of X and Y
2.
Transcribed Image Text:(a) Two tire quality experts examine stacks of tires and assign quality ratings to each tire on a 3-point scare. Let X denote the grade given by experts A and let Y denote the grade given by B. The following table gives the joint distribution for XX 3. 0.02 1. 0.05 0.10 0.10 1. 0.35 3 0.10 0.20 Find P(X=1, Y=3) Find P(X2 2,Y 2 3) Find the marginal distribution of x Find the marginal distribution of Y V. Find P(X 2 1| Y = 2) Find the conditional distribution of X|Y = 2 Calculate the correlation coefficient of X and Y 2.
QUESTION THREE
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 x (bar) 1.0
1.4
1.8
2.2
2.6
3.4
3.8
Correct reading y(bar)
96 0
1.33 1.75
2.14
2.97 3.38 3.75
(a) Find the least squares line for the data
(b) Predict the correct reading, y, for a given gauge level of 3.3
(C) Determine at the 5% level whether there is evidence to indicate a linear
relationship between reading of x and correct readings y.
(d) Find a 95% confidence interval for B,
(e) Find the correlation coefficient
(f) By what percentage is the sum of squares of deviations of y about the mean
(SS) is reduced by using ý rather than y bar as a predictor of y
(g) Give the ANOVA table for the gauge problem.
Transcribed Image Text:QUESTION THREE 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 x (bar) 1.0 1.4 1.8 2.2 2.6 3.4 3.8 Correct reading y(bar) 96 0 1.33 1.75 2.14 2.97 3.38 3.75 (a) Find the least squares line for the data (b) Predict the correct reading, y, for a given gauge level of 3.3 (C) Determine at the 5% level whether there is evidence to indicate a linear relationship between reading of x and correct readings y. (d) Find a 95% confidence interval for B, (e) Find the correlation coefficient (f) By what percentage is the sum of squares of deviations of y about the mean (SS) is reduced by using ý rather than y bar as a predictor of y (g) Give the ANOVA table for the gauge problem.
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman