Quiz Chapter 06.01: Statistics Background of Regression Analysis

1. The average and standard deviation of the following numbers: $2, \, 4, \, 10, \, 12, \, 1.6, \, 6.4$ are

2. The average of $7$ numbers is given as $12.6$. If $6$ of the numbers are $5, \, 7, \, 9, \, 12, \, 17,$ and $10$, the remaining number is

3. The average and standard deviation of $7$ numbers are given as $8.142$ and $5.005$, respectively. If $5$ numbers are $5, \, 7, \, 9, \, 12,$ and $17$, the other two numbers are

4. The sum of the square of the difference between data point and its average for the data $2, \, 5, \, 10, \, 12, \, 2.5,$ and $6.7$ is

5. Two medications are tried to heal esophageal ulcers in patients. The time to heal is reported as the time the patient reports $1$ or less heartburn episode per week

The medication with less recovery time with standard deviation and mean is

6. A very large number of data points are chosen on a function $y = 3e^{2x}$ from $x = 0.2$ to $2.1$. The average of these $y$-values most nearly is