Problem 3: Ten steel cables were tested in a laboratory by applying tensile forces of varying magnitudes. Deformations were observed as follows: Force (kg) 15 Increase in length (mm) 1.7 20 25 34 42 49 53 55 62 66 2.2 2.5 3.3 3.9 5.0 5.4 5.6 6.6 7.3 a. Estimate the parameters of a simple linear regression model with force as the independent variable. b. Find the 95% confidence interval for the two parameters. c. Test the hypothesis that the intercept is zero.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
Problem 3: Ten steel cables were tested in a laboratory by applying tensile forces of varying magnitudes.
Deformations were observed as follows:
Force (kg)
15
Increase in length (mm) 1.7
20 25 34 42 49 53 55 62 66
2.2 2.5 3.3 3.9 5.0 5.4 5.6 6.6 7.3
a. Estimate the parameters of a simple linear regression model with force as the independent variable.
b. Find the 95% confidence interval for the two parameters.
c. Test the hypothesis that the intercept is zero.
d. Test the hypothesis that the model is significant.
e. What are your conclusions for c and d?
Transcribed Image Text:Problem 3: Ten steel cables were tested in a laboratory by applying tensile forces of varying magnitudes. Deformations were observed as follows: Force (kg) 15 Increase in length (mm) 1.7 20 25 34 42 49 53 55 62 66 2.2 2.5 3.3 3.9 5.0 5.4 5.6 6.6 7.3 a. Estimate the parameters of a simple linear regression model with force as the independent variable. b. Find the 95% confidence interval for the two parameters. c. Test the hypothesis that the intercept is zero. d. Test the hypothesis that the model is significant. e. What are your conclusions for c and d?
Expert Solution
steps

Step by step

Solved in 6 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON