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Let x = boiler steam pressure in 100 lb/ in2 and let y = critical sheer...

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Statistics

Let x = boiler steam pressure in 100 lb/ in2and let y = critical sheer strength of boiler plate steeljoints in tons/ in2. We have the following data for aseries of factory boilers.

x456810
y3.44.26.310.913.3



(b) Use the (x', y') data points and a calculator withregression keys to find the least-squares equation y' = a +bx'. What is the correlation coefficient? (Use 3 decimalplaces.)

y'=+  x'
r=


(c) Use the results of part (b) to find estimates for α and β inthe power law y =αxβ. Write the power equationfor the relationship between steam pressure and sheer strength ofboiler plate steel. (Use 3 decimal places.)

α=
β=
=· x^

Answer & Explanation Solved by verified expert
4.4 Ratings (735 Votes)
b Using Excel we have found equation of regression line SUMMARY OUTPUT Regression Statistics Multiple R 0990672 R Square 0981431 Adjusted R Square 0975241 Standard Error 0040266 Observations 5 Coefficients    See Answer
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