This homework is based on the \"MLR JMP output\" document available on Blackboar

Question

This homework is based on the "MLR JMP output" document available on Blackboard. 1. Consider the regression fit denoted as "Model A". a) What are the estimates of Bo B1, B2, and B3 for this regression b) What is the estimate of u r for this regression? Note that the answer will be in terms of x, and x d) Report the t distributed 95% confidence interval for B2. (No calculation necessary) e) Describe what the p-values for the B parameters tell us. Report the t distributed 95% confidence interval for the mean price sold for a machine with 18 replaced parts and satisfaction index of 68.5. Also, give the interpretation of this interval. (No calculation necessary)

Explanation / Answer

a) The estimates of betas are B0=9258.647, B1=-251.2051, B2=2.1562131 and B3=-0.489372

c) Variance is nothing but the difference between the fitted values and actual values. So, SSTO= Sum of Squares of Regression of Model + Sum of Squares of Regression of Errors=458261498+88827739=547089237

d) t distributed confidence interval for beta 2 is 1.7800987-2.5323275

e) p values for Beta tells us that all the variables except satisfaction explains the relationship with the price as for satisfaction index p value is >0.05

f) The confidence interval tells us that the price will lie between 5086 and 5718 with 95 % confidence for the given values of satsifaction index of 68.5 and number of replaced parts equal to 18.

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