1. **State the problem:** We are given 10 data points and asked to find the correlation coefficient $r$ for all points, determine if there is a linear correlation at significance level $\alpha=0.01$, and interpret the result. 2. **Recall the correlation coefficient $r$:** It measures the strength and direction of a linear relationship between two variables $x$ and $y$. Its value ranges from $-1$ to $1$. 3. **Given:** $r = 0.893$ for all 10 points. 4. **Determine critical region:** At $\alpha=0.01$ and $n=10$, the critical value for $r$ (from the table) is approximately $\pm 0.765$. 5. **Compare $r$ to critical value:** Since $0.893 > 0.765$, $r$ lies in the critical region. 6. **Conclusion:** Because $r$ is in the critical region, we reject the null hypothesis of no correlation and conclude there is a significant linear correlation between $x$ and $y$. **Final answer:** $$\boxed{\text{C. Yes, because the correlation coefficient is in the critical region.}}$$