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Learning the mechanics. Find the correlation coefficient and the coefficient of determination for the sample data of each of the following exercises. Interpret your results.
(a) Exercise 1 (b) Exercise 2
Exercise 1Learning the mechanics. Use the method of least squares to fit a straight line to these six data points:
X
1
2
3
4
5
6
y
(a) What are the least square estimates of β0 and β1?
(b) Plot the data points and graph the least squares line on the scatterplot.
Exercise 2Learning the mechanics. Use the method of least squares to fit a straight line to these five data points:
-2
-1
0
(a) What are the least squares estimates of β0 and β1?
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