The torque, T(N.m), required to rotate shafts of different diameters, D(mm), on a machine is shown in the table below. If the low is: T = aD" where a and n are constants. Determine the constants a and n to give the best fit to following data: D (тm) | 7.0 T (N.m)| 0.974 Then standard deviation (S,) about the mean. 25 40 15.3 10 18 1.71 4.33 7.28

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
icon
Related questions
Question
The torque, T(N.m), required to rotate shafts of different diameters, D(mm), on
a machine is shown in the table below. If the low is:
T = aD"
where a and n are constants. Determine the constants a and n to give the best
fit to following data:
D (тm) | 7.0
T (N.m) 0.974
Then standard deviation (S,) about the mean.
10
1.71
25
18
4.33
40
15.3
7.28
Transcribed Image Text:The torque, T(N.m), required to rotate shafts of different diameters, D(mm), on a machine is shown in the table below. If the low is: T = aD" where a and n are constants. Determine the constants a and n to give the best fit to following data: D (тm) | 7.0 T (N.m) 0.974 Then standard deviation (S,) about the mean. 10 1.71 25 18 4.33 40 15.3 7.28
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 8 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning