00:01
Let the number of children in the family be denoted by x, the annual gross income be y over here.
00:08
So therefore the linear, so we have over here linear regression, so we have what? we have that the linear regression equation is given by, we have y is equals to a plus b x, right? over here a is what? this is the y intercept, okay? so this is what, this is the y intercept and this b over here, this is what? this is representing the slope, right? this is the slope of the line relating to x to y, right? we have this, now see over here, we need to find the value of this a and b, right? so we know that your b, this is equals to what? this is given as r multiplied by over here, we have s y upon s x, right? so over here this r, this is representing what? this is the correlation coefficient, right? and then your s y over here, this is the standard deviation of y and this s x over here, this is the standard deviation of x and see your a, this is equals to what? this is given by y bar minus and over here you will have b x bar, right? so see over here y bar is what? this is the mean of y and this x bar, this is the mean of x over here.
01:29
We have all the information from the question, right? so if you look at your question, we have all this information.
01:36
So now let's plug it.
01:37
So therefore, so now see your b, this would be equals to 0 .75 multiplied by we have over here 10 ,540 and then upon this is 1 .4.
01:51
So when you solve this, this is equals to 5 ,646 .42...