Consider the following pairs of observations:
x | 4 | 2 | 5 | 3 | 2 | 4 |
y | 1 | 4 | 5 | 3 | 2 | 4 |
a. Construct a scatterplot of the data.
b. Use the method of least squares to fit a straight line to the six data points.
c. Graph the least squares line on the scatterplot of part a.
d. Compute the test statistic for determining whether x and y are linearly related.
e. Carry out the test you set up in part d , using α = .01.
f. Find a 99% confidence interval for β1.
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