Energy use: A sample of 10 households was monitored for one year. The household income (in $1000s) and the amount of energy consumed (in 101° joules) were determined. The results follow.

a. Compute the least-squares line for predicting energy consumption (y) from income (x).
b. Compute a 95% confidence interval for the slope.
c. Test Ho:β1= 0 versus tic > 0. Can you conclude that income is useful in predicting energy consumption? Use the a = 0.0 level of significance.

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Income Energy Income Energy 31 40 28 48 195 16.0 40.2 29.8 45.6 184.6 96 70 100 145 78 98.3 93.8 77.1 114.8 67.0