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

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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.
x 4 5 6 8 10
y 3.4 4.2 6.3 10.9 13.3

(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' = +Â Â x'
r =

(c) Use the results of part (b) to find estimates for Î± and Î² inthe power law y =Î±x^Î². Write the power equationfor the relationship between steam pressure and sheer strength ofboiler plate steel. (Use 3 decimal places.)
Î± =
Î² =
= Â· 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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