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3. [-16.5 Points] DETAILS DEVORESTAT9 12.E.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Values of modulus of elasticity (M(c) Use the accompanying Minitab output to obtain the equation of the least squares line for predicting strength from modulus

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Answer #1

a.

First we need to round up values.

30,33,34,35,36,36,36,36,38,38,39,39,40,41,43,43,44,46,46,47,48,49,52,63,70,80,80

Stem-and -leaf plot:

2 | NONE

2 | NONE

3 | 034

3 | 566668899

4 | 01334

4 | 66789

5 | 2

5 | NONE

6 | 3

6 | NONE

7 | 0

7 | NONE

8 | 00

8 | NONE

c.

y = 3.2925 + 0.10748 x

Strength of beam whose modulus of elasticity is 79 is

y = 3.2925 + 0.10748 x

y = 3.2925 + 0.10748 (79)

y = 11.78

In order to answer next question about x =100, provide range of the values taken by the variable modulus of elasticity.

d.

SSE = 18.736

SST = 71.605

r2 = 0.738

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