00:01
Hello student here we have given a data on complex analysis exam score of seven randomly selected graduate student.
00:12
So here we have to find out what is the explanatory variable.
00:16
So here number of question solved is the explanatory variable and here our response variable is exam score.
00:30
So here response variable is exam score.
00:33
Now in the next bit here we have to find out a linear correlation coefficient.
00:41
So from the given data first we calculate the value of x bar which is equal to 19 y bar which is equal to 88 .28.
00:53
Now summation of xi minus x bar square is equal to 154 and summation of yi minus y bar square is equal to 327 .42 and summation of xi minus x bar into yi minus y bar.
01:22
So here sum of xi minus x bar into yi minus y bar is equals to 71.
01:28
Now here we use pearson correlation coefficient formula.
01:35
So here r is equal to summation of xi minus x bar into yi minus y bar upon square root of summation xi minus x bar square into yi minus y bar square.
02:02
Now we substitute the values.
02:05
So here 71 divided by square root of 154 into 327 .42.
02:20
Now solving it will give the value of correlation coefficient r.
02:24
So here the value of correlation coefficient r is equal to 0 .31.
02:31
Now here we have to check if there is linear relationship exist between these two variables that is for significance of correlation...