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

6.0, \, 4.0857

6.0, \, 4.2783

7.2, \, 4.0857

7.2, \, 4.4757

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

-47.9

-47.4

15.6

28.2

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

-0.1738, \, 7.175

3.396, \, 12.890

3.500, \, 3.500

4.488, \, 2.512

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

4.023

13.49

16.19

80.93

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

Pacalo	Reggon
$26$	$25$
$23$	$31$
$21$	$32$
$25$	$23$
$32$	$19$
$37$	$26$

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

Pacalo,

\bar{x} = 27.33, \, \sigma = 6.022

Reggon,

\bar{x} = 26.00, \, \sigma = 4.900

Pacalo,

\bar{x} = 27.33, \, \sigma = 5.497

Pacalo,

\bar{x} = 27.33, \, \sigma = 6.022

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

51.5

78.2

97.8

102