Firstly, I picked up three variables (X1: average temperature in January, X2: average temperature in February, and X3: average temperature in March) and set dependant variable Y as number of days after end of February. So, if the blooming day is 03/25, Y equals to 25; and if the day is 04/08, Y becomes 31+8=39. I arranged monthly average air temperature data in 1961 – 2004, ran MS-Excel regression data analysis function and gets the multiple linear regression equation as follows': Y=0.886X1 – 1.910X2– 3.213X3 + 63.069 (R²= 0.81)

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Can someone explain to me how this person set up the his multiple linear regression equation in excel when he ran a regression? I assume his X range would be the monthly average air temperature  (X1 - jan X2-feb X3-march) but what about his input range for y?

Firstly, I picked up three variables (\(X_1\): average temperature in January, \(X_2\): average temperature in February, and \(X_3\): average temperature in March) and set dependent variable \(Y\) as number of days after end of February. So, if the blooming day is 03/25, \(Y\) equals to 25; and if the day is 04/08, \(Y\) becomes 31+8=39.

I arranged monthly average air temperature data in 1961–2004, ran MS-Excel regression data analysis function and gets the multiple linear regression equation as follows:

\[ 
Y = 0.886X_1 - 1.910X_2 - 3.213X_3 + 63.069 \quad (R^2 = 0.81) 
\]
Transcribed Image Text:Firstly, I picked up three variables (\(X_1\): average temperature in January, \(X_2\): average temperature in February, and \(X_3\): average temperature in March) and set dependent variable \(Y\) as number of days after end of February. So, if the blooming day is 03/25, \(Y\) equals to 25; and if the day is 04/08, \(Y\) becomes 31+8=39. I arranged monthly average air temperature data in 1961–2004, ran MS-Excel regression data analysis function and gets the multiple linear regression equation as follows: \[ Y = 0.886X_1 - 1.910X_2 - 3.213X_3 + 63.069 \quad (R^2 = 0.81) \]
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