Densidad, x Rigidez, y Densidad, x Rigidez, y 9,50 14 814 8,40 17 502 9,80 14 007 11,00 19 443 8,30 7573 9,90 14 191 8,60 9714 6,40 8076 7,00 5 304 8,20 10 728 17,40 43 243 15,00 25 319 15,20 28 028 16,40 41 792 16,70 49 499 15,40 25 312 15,00 26 222 14,50 22 148 14,80 26 751 13,60 18 036 25,60 96 305 23,40 104 170 24,40 72 594 23,30 49 512 19,50 32 207 21,20 48 218 22,80 70 453 21,70 47 661 19,80 38 138 21,30 53 045 a. Obtain the fitted regression line based on the data obtained. ý =bo+ bx, b. Obtain the coefficient of determination R² c. Calculate the mean squared error S² d. Construct the confidence interval using x = 15 e. Construct the prediction interval using x = 15.
Densidad, x Rigidez, y Densidad, x Rigidez, y 9,50 14 814 8,40 17 502 9,80 14 007 11,00 19 443 8,30 7573 9,90 14 191 8,60 9714 6,40 8076 7,00 5 304 8,20 10 728 17,40 43 243 15,00 25 319 15,20 28 028 16,40 41 792 16,70 49 499 15,40 25 312 15,00 26 222 14,50 22 148 14,80 26 751 13,60 18 036 25,60 96 305 23,40 104 170 24,40 72 594 23,30 49 512 19,50 32 207 21,20 48 218 22,80 70 453 21,70 47 661 19,80 38 138 21,30 53 045 a. Obtain the fitted regression line based on the data obtained. ý =bo+ bx, b. Obtain the coefficient of determination R² c. Calculate the mean squared error S² d. Construct the confidence interval using x = 15 e. Construct the prediction interval using x = 15.
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
In the manufacture of commercial wood products, it is important to estimate the relationship between the density of a wood product and its stiffness.
between the density of a wood product and its stiffness. A relatively new type of chipboard is being considered
chipboard that can be formed much more easily than the already accepted commercial product. It is
It is necessary to know at what density its stiffness is comparable to that of the well known and documented commercial product.
documented commercial product. Thirty particleboard boards were produced with densities
8 to 26 pounds per cubic foot and their stiffness was measured in pounds per square inch. The following table
the data obtained are presented.
Calculate the following with a significance level of 95%.
It is recommended in excel
Transcribed Image Text:Densidad, x
Rigidez, y
Densidad, x
Rigidez, y
9,50
14 814
8,40
17 502
9,80
14 007
11,00
19 443
8,30
7573
9,90
14 191
8,60
9714
6,40
8076
7,00
5 304
8,20
10 728
17,40
43 243
15,00
25 319
15,20
28 028
16,40
41 792
16,70
49 499
15,40
25 312
15,00
26 222
14,50
22 148
14,80
26 751
13,60
18 036
25,60
96 305
23,40
104 170
24,40
72 594
23,30
49 512
19,50
32 207
21,20
48 218
22,80
70 453
21,70
47 661
19,80
38 138
21,30
53 045
Transcribed Image Text:a. Obtain the fitted regression line based on the data obtained.
ý =bo+ bx,
b. Obtain the coefficient of determination R²
c. Calculate the mean squared error S²
d. Construct the confidence interval using x = 15
e. Construct the prediction interval using x = 15.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 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