00:01
Hello students, according to the given question, in the a bit from given data n value is equal to 18 values, x bar is equal to 13 .33, y bar is equal to 26 .67 and sum of squares of x is equal to 182 and sum of products is equal to 216.
00:24
So, the regression equation y cap is equal to a plus b x.
00:29
So, here the slope b is equal to sum of products by sum of squares of x that is equal to 216 by 182 that is equal to 1 .1868 and a will be equal to y bar minus b into x bar that is equal to 26 .67 minus 1 .1868 into 13 .33.
00:55
So, then a value is equal to 10 .8425.
01:01
So, by comparing by substituting y cap is equal to 10 .8425 plus 1 .1868 into x.
01:13
Now, the sum of squares for treatments is given that is summation y i minus y cap i whole square from given data it is 660.
01:26
Now, the sum of squares for regression is equal to summation y i cap minus y bar whole square is equal to 256 .3516.
01:38
From above equation we have to substitute from given values and sum of squares for error is equal to summation y i minus y bar i whole square that is equal to 403 .6484.
01:54
Now, the coefficient of determination value.
02:00
So, that is denoted as r square is equal to ssr by sst.
02:08
So, that is equal to r square is equal to 0 .3884.
02:14
So, that means, 38 .84 percent explained variation, explained variation, variation between variables...