A research and development team in the Plexiglas industry are interested in rela

Question

A research and development team in the Plexiglas industry are interested in relating the strength of a particular type of synthetic glass sheeting (Y) to the temperature in degrees Celsius (X) and pressure in pounds per square inch (X2) used in the production process. Y40.2 38.2 30.218.5 28.235.3 27.3 28.135.0| 16.7 X- 280 , 240- 245|210| 260 -260|220 215-250|210 From the previous parts, we know fitted multiple regression model is Y =-4.839 + 0.220X1-1.326X2 (e) Test if the regression is significant. Hint: Complete the ANOVA Table.] f) Test the significance of the coefficient for the temperature

Explanation / Answer

e)

since the significance F is 0.001 < 0.05

the regression is significant

f)

if p-value of beta is less than 0.05 , the variable is significant

here p-value of temperature(X1) is 0.047 < 0.05

hence it is significant

Please rate

SUMMARY OUTPUT Regression Statistics Multiple R 0.926005861 R Square 0.857486854 Adjusted R Square 0.816768812 Standard Error 3.337613249 Observations 10 ANOVA df SS MS F Significance F Regression 2 469.1833646 234.5916823 21.05913789 0.001092678 Residual 7 77.97763539 11.1396622 Total 9 547.161 Coefficients Standard Error t Stat P-value Lower 95% Intercept -4.839079583 13.74543176 -0.352050024 0.735161078 -37.34186086 X1 0.21971523 0.047102867 4.664582954 0.002302083 0.108334649 X2 -1.326137808 0.40994294 -3.234932668 0.014353371 -2.295498826

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