Calculus and Above

Calculus and Above

# The torque, T Nm, required to rotate shafts of different…

Customer Question
The torque, T Nm...
The torque, T Nm , required to rotate shafts of different diameters,
D mm, on a machine has been tested and recorded as below.
D (mm) 6 10 14 18 21 25
T (mm) 5.5 7 9.5 12.5 13.5 16.5
a) Plot a scatter diagram of the results with diameter of the machine as the independent variable.
b)Use the method of least squares to determine the linear regression equation that relates the torque to the diameter.
c) Estimate the value of torque required when the diameter is 16 mm.
d) Calculate the coefficient of correlation between these variables and comment on your prediction obtained in (c)
Submitted: 6 months ago.Category: Calculus and Above
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8/4/2017
Tutor: Ryan, Engineer replied 6 months ago
Ryan, Engineer
Category: Calculus and Above
Satisfied Customers: 9,126
Experience: B.S. in Civil Engineering
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Hi,

Thank you for using the site. I'll be happy to help you with this problem. I'll get the solution posted for you as quickly as I can.

Thanks,

Ryan

Tutor: Ryan, Engineer replied 6 months ago

Hi again,

Please see the document at the following link for the solution to this problem.

Regression

Thanks,

Ryan

Customer reply replied 6 months ago
The scatter diagram has not been included in the answer
Customer reply replied 6 months ago
Tutor: Ryan, Engineer replied 6 months ago

I pasted it in there. There is no graph showing in part a?

Are you opening this in Microsoft Word, or some other application?

Tutor: Ryan, Engineer replied 6 months ago

Here is a link to the Excel file that has both the calculations for the values in the table, and the original scatterplot:

Regression(Excel)

Regression(PDF)

Please let me know if the issue is still unresolved.

Thanks,

Ryan

Ryan, Engineer
Category: Calculus and Above
Satisfied Customers: 9,126
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