Make a scatter plot of data Can you fit a straight line to raw data? If it appears nonlinear, linearize the data for assuming relation Calculate the mean life for a dynamic stress of 25 ksi. E

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  1. Fatigue Life tests yield the following data

Dynamic Stress (ksi)50

Fatigue Life (Cycles)

50

3,500

40

6,000

30

28,000

20

100,000

15

300,000

12

800,000

 

  1. Make a scatter plot of data
  2. Can you fit a straight line to raw data? If it appears nonlinear, linearize the data for assuming relation
  3. Calculate the mean life for a dynamic stress of 25 ksi. Estimate its confidence interval with 95 percent confidence level.
Expert Solution
Step 1

Let us denote X=dynamic stress and Y=Fatigue life.

Given information:

x Y
50 3500
40 6000
30 28000
20 100000
15 300000
12 800000

1.

 Excel Procedure:

  • Enter the data for x and y in Excel sheet
  • Select the columns of x and y.
  • Go to Insert menu.
  • Click on “Insert scatter or bubble chart” option.
  • Select Scatter under Charts.
  • Under chart elements, check Trend line as linear.
  •  

Excel Output:

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