A plot suggests that the expected value of thermal conductiv

A plot suggests that the expected value of thermal conductivity y is a linear function of 10^4 1/x, where x is lamellar thickness. Estimate the parameters of the regression function and the regression function itself. (Round your answers to four decimal places.) Predict the value of thermal conductivity when lamellar thickness is 600 A. (Round your answer to two decimal places.)

Solution

a)

Getting the values of 1/x,

0.004347826
0.002439024
0.002222222
0.002
0.001923077
0.001666667
0.001324503
0.000120482

Thus, using these values as the effective \"x\" coordinates,

Using technology, we get              

intercept = Bo =   18.20084296   [ANSWER]                      
slope = B1 =   -1539.955703       [ANSWER]  

              
Thus, the regression line is              
              
y^ =    18.20084296 + -1539.95570/x [ANSWER]

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Thus, if 1/x =    0.001666667
  
Then  
  
y^ =    15.63425012 [ANSWER]