Can you assist with a Minitab regression question? Enter the following data set

Question

Can you assist with a Minitab regression question?

Enter the following data set into two columns in the data window. Keeping the order pairs across from each other. A study was performed on the wear of a bearing, y, and the relationship to oil viscosity, x. The following data were obtained :

                              y     |       193        230        172        91           113        125

                              x     |       1.6          15.5       22           43           33           40

               a. )        Calculate the linear regression information.

{ StatRegressionRegression }

               b. )        Write the linear correlation coefficient and interpret it.

               c. )         Write the coefficient of determination and interpret it.

d. )         Write the line of best fit or regression equation.

e. )         Use the regression equation to predict the wear of a bearing or explain why not if oil viscosity is 145.

f. )         Use the regression equation to predict the wear of a bearing or explain why not if oil viscosity is 30.

Explanation / Answer

See this:

a) Sample size: 6
Mean x (x): 25.85
Mean y (y): 154
Intercept (a): 227.83
Slope (b): -2.86
Regression line equation: y=227.83-2.86x

b) Correlation coefficient (r): -0.8519

c) The value of R2, the coefficient of determination, is 0.7257.

d) Regression line equation: y=227.83-2.86x

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