52 Consider the following pairs of observations

a. Construct a scatterplot of the data.

b. Use the method of least squares to fit a straight line to the seven data points in the table.

c. Plot the least squares line on your scatterplot of part a .

d. Specify the null and alternative hypotheses you would use to test whether the data provide sufficient evidence to indicate that x contributes information for the (linear)
prediction of y .

e. What is the test statistic that should be used in conducting the hypothesis test of part d ? Specify the number of degrees of freedom associated with the test statistic.

f. Conduct the hypothesis test of part d , using a = .05.
g. Construct a 95% confidence interval for b1.

Transcribed Image Text:

x 1 5 3. 2 6 6 0 y 1 3 3 1 4 5 1