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.
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 |
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