Question

In: Statistics and Probability

Show all calculation details by not using a calculator or Excel answers. Consider the data set:...

Show all calculation details by not using a calculator or Excel answers. Consider the data set: (7,11), (10,0), (13,-2).

A. Compute and interpret the coefficient of correlation.

B. Compute the least squares line for this data (no need to repeat computations from above).

Solutions

Expert Solution

Given data:

x	y
7	11
10	0
13	-2

A.) The correlation coefficient is claculated as,

Here, n=3

Hence, we get,

Therefore, r= -0.9286 . Here, negative sign represents that there is a negative correlation between X and Y. Also the magnitude 0.9286 is close to 1, hence there is a perfect negative correlation.

B.) To fit least square line, which is given as,

where a and b are calculated as,

Therefore, the least square line for this data :

orchestra answered 1 year ago

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