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Math Help - Increasing monthly temperatures - don't understand the question

  1. #1
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    Increasing monthly temperatures - don't understand the question

    I'm doing an assignment in Mathematica and I need some help understanding the question. I have a datasheet with temperatures for each month for the last 108 years:

    http://www.knmi.nl/klimatologie/maan...geg_260_tg.txt

    Question 3 was:

    "Determine the average temperature of each month over the period 1901-2008. Make a table with two columns and twelve rows, showing the average temperature for each month."

    That was easy enough. Now comes question 4:

    "Same as question three, but now we assume a linear warming. That means for each month the average temperature will be fit by the function t_{average,i}[x] = a_i + b_i(x -2008). In this function, i goes from 1 to 12 (from january to december) and x from 1901 to 2008. Your table will now have three columns. What is the meaning of a_i and b_i? What are their dimensions?"

    This question confuses me and if it confuses you too it might be due to my shoddy translation. Anyway, what exactly am I supposed to put in the third column? I assume I will have to calculate the values of a_i and b_i? So the third column will have twelve rows of something like: 5 + 6(1901 - 2008)? If so, how do I calculate those values for a_i and b_i?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Shukie View Post
    I'm doing an assignment in Mathematica and I need some help understanding the question. I have a datasheet with temperatures for each month for the last 108 years:

    http://www.knmi.nl/klimatologie/maan...geg_260_tg.txt

    Question 3 was:

    "Determine the average temperature of each month over the period 1901-2008. Make a table with two columns and twelve rows, showing the average temperature for each month."

    That was easy enough. Now comes question 4:

    "Same as question three, but now we assume a linear warming. That means for each month the average temperature will be fit by the function t_{average,i}[x] = a_i + b_i(x -2008). In this function, i goes from 1 to 12 (from january to december) and x from 1901 to 2008. Your table will now have three columns. What is the meaning of a_i and b_i? What are their dimensions?"

    This question confuses me and if it confuses you too it might be due to my shoddy translation. Anyway, what exactly am I supposed to put in the third column? I assume I will have to calculate the values of a_i and b_i? So the third column will have twelve rows of something like: 5 + 6(1901 - 2008)? If so, how do I calculate those values for a_i and b_i?
    You calculate the a_i and b_i using linear regression, and now your table will have as columns: month, average temp, average temp from the regression model.

    The dimensions of a_i are \text{[C]} (degrees celsius - I would normally have used \text{[K]} here myself), and of b_i are \text{[C][T]}^{-1} (degrees celsius per year)

    CB
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  3. #3
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    Thanks for the help!
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