00:01
Hello student, we have given a data on rainfall and in need of heat and we have to find out the regression equation.
00:11
So here we know that y cap is equals to beta naught plus beta 1 x.
00:15
So first we calculate beta 1 which is calculated as summation xi minus x bar into yi minus y bar divided by summation of xi minus x bar bracket square.
00:37
So here beta 1 is equals to 4 .48.
00:42
Now beta naught is calculated as y bar minus beta 1 x bar which is equal to 2 .4911.
00:53
Therefore our regression equation is y cap is equals to 2 .4911 plus beta 1 is equals to 4 .48 into x.
01:12
Now for the next bit we have to calculate the coefficient of determination.
01:16
So coefficient of determination is denoted as r square which is equal to sum of square due to regression which is equals to 2218 .6191 divided by 2324 .1289.
01:40
Therefore, the value of coefficient of determination is equal to 0 .9546.
01:50
Now similarly, we have to calculate the value of correlation coefficient r which is equal to 0 .977...