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Excel Regression Analysis - P values and R squared

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    Excel Regression Analysis - P values and R squared

    Hi,

    I would like to know if the coefficient of an independent variable is still relevant if the R-squared is low (assuming the p-value for the independent variable is less than 0.05).

    For example, assume I have ice cream sales as my dependent variable and GDP as my independent variable. If I run a regression analysis the R-squared will be very low (say 0.01), because clearly there are other factors that will explain ice cream sales, but the GDP p value is significant (i.e. <0.05) and the coefficient is 0.0001. Can I still conclude from this regression that for every $1 increase in GDP, ice cream sales will increase by 0.0001?

    Many thanks in advance.

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    Re: Excel Regression Analysis - P values and R squared

    That is probably more of a statistics question rather than an Excel question, and I am not sure if we have anyone here who is enough of a statistician to provide a good answer for that. I expect that there are standard statistical tests for significance of an independent variable, but i am not familiar with those tests.

    If you are familiar with those tests and can explain them to us, I expect we will be able to help you program those tests in Excel. If you are not familiar with those tests, then I would suggest that you put this question to someone with a more in depth statistical background. Once you understand how to perform the test, come back here and we can help you program it in Excel.
    Quote Originally Posted by shg
    Mathematics is the native language of the natural world. Just trying to become literate.

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