Item 2:

A supplier of a material suggests that the material's properties can be estimated by just sampling one property.For instance, obtaining data for property 1 will provide information about property 2 such that the second does not need to be tested.A common example is concrete.Properties such as tensile strength have been correlated to the 28-day compressive strength of the concrete.The data file contains values related to such a correlation test; a scatter plot of the data is provided as well.

TASKS

a)Using first principles, determine the simple (Pearson's) correlation coefficient of the sample.That is, use the text's Equation 6.6.[You may find the partial sum version provided in Section 11-8 to be more computationally convenient.Although you may be using a tool that just provides the correlation value, what you are to do here is to, in essence, show the details of how that value is obtained.Demonstrate that you can obtain the same value as the tool that you use provides.]

b)Comment on the apparent relationship between the two variables.

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