Statistics I - Old Questions

3. A computer manager interested to know how efficiency of his/her new computer program which depends on the size of incoming data. Efficiency will be measured by the number of processed requests per hour. In general, larger data sets require more computer time, and therefore, fewer requests are processed within 1 hour. Applying the program to data sets of different sizes, the following data were gathered.

a) Identify which one response variable, and fit a simple regression line, assuming that the relationship between them is linear.

b) Interpret the regression coefficient with reference to your problem.

c) Obtain coefficient of determination, and interpret this.

d) Based on the fitted model in (a), predict the efficiency of new computer for data size 12(gigabytes). Does it possible to predict efficiency for data size of 30 gigabytes? Discuss.