The determination of the shear strength of spot welds is relatively difficult, whereas measuring he weld diameter of spot welds is relatively simple. As a result, it would be advantageous if shear strength could be predicted from a measurement of weld diameter. The data are as follows: Shear Strength (psi) Weld Diameter (.0001 in.) 370 780 1,210 1,560 1,980 2,450 3,070 3,550 3,940 3,950 400 800 1,250 1,600 2,000 2,500 3,100 3,600 4,000 4,000 a) Find the least squares estimates of the regression coefficients. b) Test the hypothesis that the slope of the regression line is equal to 1 at the 0.05 level of significance.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter34: Customary Micrometers
Section: Chapter Questions
Problem 58A
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Data typed out for convenience:

Shear strength (psi) Weld diameter (0.0001 in)
370 400
780 800
1210 1250
1560 1600
1980 2000
2450 2500
3070 3100
3550 3600
3940 4000
3950 4000
The determination of the shear strength of spot welds is relatively difficult, whereas measuring
the weld diameter of spot welds is relatively simple. As a result, it would be advantageous if
shear strength could be predicted from a measurement of weld diameter. The data are as follows:
Shear Strength (psi)
Weld Diameter (.0001 in.)
370
400
780
800
1,210
1,560
1,980
2,450
3,070
3,550
1,250
1,600
2,000
2,500
3,100
3,600
3,940
3,950
4,000
4,000
a) Find the least squares estimates of the regression coefficients.
b) Test the hypothesis that the slope of the regression line is equal to 1 at the 0.05 level of
significance.
Transcribed Image Text:The determination of the shear strength of spot welds is relatively difficult, whereas measuring the weld diameter of spot welds is relatively simple. As a result, it would be advantageous if shear strength could be predicted from a measurement of weld diameter. The data are as follows: Shear Strength (psi) Weld Diameter (.0001 in.) 370 400 780 800 1,210 1,560 1,980 2,450 3,070 3,550 1,250 1,600 2,000 2,500 3,100 3,600 3,940 3,950 4,000 4,000 a) Find the least squares estimates of the regression coefficients. b) Test the hypothesis that the slope of the regression line is equal to 1 at the 0.05 level of significance.
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