An ordinary least-squares line for 50 observations of shovel production versus swing angle has intercept estimate 29.6 (standard error 13.45) and slope estimate 2.5 (standard error 1.32). With normal residuals, test each coefficient against zero at two-sided 5% significance. Use the supplied t table.
Correct answer: (B) Intercept is significant; slope is not.
Explanation
Residual degrees of freedom are 50−2=48. The two-sided 5% critical t lies between the table’s df30 value 2.042 and df60 value 2.000 (about 2.011). The intercept statistic is 29.6/13.45=2.201, exceeding the critical value; the slope statistic is 2.5/1.32=1.894, below it. Hence only the intercept is significant, B.
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