Emmanuel Doe
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- Joined
- May 12, 2020
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- A computer manager needs to know how efficiency of her new computer program depends on the size of incoming data. Efficiency will be measured by the number of processed requests per hour. Applying the program to data sets of different sizes, she obtains the following results,
| Data size (gigabytes) | 6 | 7 | 7 | 8 | 10 | 10 | 15 |
| Processed requests | 40 | 55 | 50 | 41 | 17 | 26 | 16 |
Is there any correlation between the processing request and the size of incoming data?
What is the correlation coefficient? iii. By what percentage is the processing time dependent on the size of incoming data?
Compute a least square regression line for regressing processing request on the size of incoming data.
Use your regression equation to predict the processing request for an incoming data of size 17.0 gigabytes vi. Is the slope statistically significant at α = 5% ?
a) GTUC has discovered that 20% of its BBA students withdraw without completing the Elements of mathematics course at level 200. Assume that 20 BBA students registered for this course for the 2014/15 academic year.
i. What is the probability that two or fewer will withdraw? ii. What is the probability that exactly four will withdraw? iii. What is the probability that more than three will withdraw? iv. Determine the expected number of withdrawals.
b) Complete the ANOVA table below using information from the table BELOW,
| Source of variation | Degrees of freedom | Sum of squares | Mean sum of squares | F-Ratio |
| Regression | 1 | ……… | 594.447 | ………. |
| Error | ………. | 26.453 | ………. | |
| Total | 9 | ……... | | |
A network provider investigates the load of its network. The number of concurrent users is recorded at Seventy -seven locations (thousands of people),
55.3 55.3 55.3 55.9 55.9 55.9 55.9 56.1 56.1 56.1 56.1
56.1 56.1 56.8 56.8 57.0 57.0 57.0 57.8 57.8 57.8 57.9
57.9 57.9 58.8 58.8 58.8 59.8 59.8 59.8 62.2 62.2 63.8
63.8 63.8 63.9 63.9 63.9 64.7 64.7 64.7 65.1 65.1 65.1
65.3 65.3 65.3 65.3 67.4 67.4 67.4 67.4 68.7 68.7 68.7
68.7 69.0 70.4 70.4 71.2 71.2 71.2 73.0 73.0 73.1 73.1
74.6 74.6 74.6 74.6 79.3 79.3 79.3 79.3 83.0 83.0 83.0
Construct a grouped frequency distribution for the data using five classes.
Compute the sample mean, variance, and standard deviation of the number of concurrent users.
Construct a frequency histogram for the data
b) It is reported that the number of concurrent users follows a positive skew distribution.
Does the histogram support this claim?