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Math Help - Quantitative or qualitative independant variable question

  1. #1
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    Quantitative or qualitative independant variable question

    I'm performing a linear regression analysis of the form y = mx + c where y is the amount of water a house uses and x is the number of occupants (in the range of 1 to 6).

    My question is: is the occupancy rate counted as quantitative or qualitative? Clearly I can't have 2.5 people but as each value relates numerically to others maybe this means it is quantitative and not categorical?

    Can I do a 'normal' regression analysis with my data, e.g. using Excel to create a trendline and associated formula. Would the corresponding R^2 value mean anything? Would it actually explain the % variation in my model?

    Thanks in advance
    -Rob
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by TheRobster View Post
    I'm performing a linear regression analysis of the form y = mx + c where y is the amount of water a house uses and x is the number of occupants (in the range of 1 to 6).

    My question is: is the occupancy rate counted as quantitative or qualitative? Clearly I can't have 2.5 people but as each value relates numerically to others maybe this means it is quantitative and not categorical?

    Can I do a 'normal' regression analysis with my data, e.g. using Excel to create a trendline and associated formula. Would the corresponding R^2 value mean anything? Would it actually explain the % variation in my model?

    Thanks in advance
    -Rob
    Since the mean of categorical data is meaningless ask yourself does the mean ocupancy have any meaning?

    CB
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  3. #3
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    Yes it does (mean occupancy rate for housing is used all the time in demographics).
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  4. #4
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    Wouldn't the data actually be considered to be ordinal rather than nominal? Couldn't it therefore be ranked and then assessed? (Since there is a relationship between the occupancy rates, i.e. 2 is twice as many as 1, 3 is more than 2 etc).
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  5. #5
    Grand Panjandrum
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    Quote Originally Posted by TheRobster View Post
    Wouldn't the data actually be considered to be ordinal rather than nominal? Couldn't it therefore be ranked and then assessed? (Since there is a relationship between the occupancy rates, i.e. 2 is twice as many as 1, 3 is more than 2 etc).
    The number of occupants of a building is a numeric variable, just like a length (you can rank lengths ..)

    CB
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