Page 161 - Data Science Algorithms in a Week
P. 161

Regression


             Month of using the cloud storage Monthly bill in euros

             1                                120.0
             2                                131.2
             3                                142.1

             4                                152.9
             5                                164.3

             1 to 12                          ?

                   2.  Fahrenheit and Celsius conversion: In the earlier example, we devised a formula
                      converting degrees Fahrenheit into degrees Celsius. Devise a formula converting
                      degrees Celsius into degrees Fahrenheit.
                   3.  Flight time duration prediction from the distance: Why do you think that a
                      linear regression model resulted in the estimation of the speed to be 1192 km/h as
                      opposed to the real speed of about 850 km/h? Can you suggest a way to a better
                      model of the estimation of the flight duration based on the flight distances and
                      times?
                   4.  Bacteria population prediction: A bacteria Escherichia coli has been observed in
                      the laboratory and the size of its population was estimated by various
                      measurements at 5-minute intervals as follows:

             Time Size of population in millions

             10:00 47.5
             10:05 56.5

             10:10 67.2
             10:15 79.9
             11:00 ?

            What is the expected number of the bacteria to be observed at 11:00 assuming that the
            bacteria would continue to grow at the same rate?












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