The yield of a chemical reaction is influenced by the temperature at which the reaction is run. A certain type of reaction was run 30 times, at different temperatures (in Celsius), and the yield of the product (in % area) was recorded. A simple linear regression model was fitted to these data, where the yield is the response variable, and the temperature is the explanatory variable. The coefficients table from the output produced when fitting the simple linear regression model in Minitab is given below. Coefficients Term Coef SE Coef T-Value P-Value VIF Constant 0.52 1.29 0.40 0.689 X 0.474 0.170 2.78 0.010 1.00 (a) Write down the regression model. (b) Interpret the regression coefficient for the fitted model. (e) For these data, n = 30, S759.8148, and s=4.69245. Show that a 95% confidence interval for 3, the regression coefficient, is given by (0.125, 0.823) (rounded to 3 d.p.).
The yield of a chemical reaction is influenced by the temperature at which the reaction is run. A certain type of reaction was run 30 times, at different temperatures (in Celsius), and the yield of the product (in % area) was recorded. A simple linear regression model was fitted to these data, where the yield is the response variable, and the temperature is the explanatory variable. The coefficients table from the output produced when fitting the simple linear regression model in Minitab is given below. Coefficients Term Coef SE Coef T-Value P-Value VIF Constant 0.52 1.29 0.40 0.689 X 0.474 0.170 2.78 0.010 1.00 (a) Write down the regression model. (b) Interpret the regression coefficient for the fitted model. (e) For these data, n = 30, S759.8148, and s=4.69245. Show that a 95% confidence interval for 3, the regression coefficient, is given by (0.125, 0.823) (rounded to 3 d.p.).
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
Q12 (example)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman