In a certain type of metal test specimen. the effect of normal stress on a specimen is known to be functionally related to shear resistance. The following table gives the data on the two variables.

Normal stress262528232723242826
Shear Stress222724272325262221
  1. Identify which one is response variable, and fit a simple regression line, assuming that the relationship between them is linear.
  2. Interpret the regression coefficient with reference to your problem.
  3. Obtain the coefficient of determination, and interpret this.
  4. Based on the fitted model in (a), predict the shear resistance for normal stress of 30 kilogram per square centimeter .

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