Dear student, X Y x-x y- y (x-x)2 (y- y)2 (x-x) x ( y- y) 1 3 -2 -3 4 9 6 2 4 -1 -2 1 4 2 3 6 0 0 0 0 0 4 7 1 1 1 1 1 5 10 2 4 4 16 8 Sum 15 30 10 30 17 Mean 3 6 r= Correlation â€‹â€‹â€‹â€‹â€‹â€‹â€‹r=∑(x-x) (y-y)∑(x-x)2 (y-y)2r=1710×30r=1717 32=0 98 Hence the X and Y variable have strong positive correlation which means that if X increases Y will also increase and vice versa Regards

Q-4 ,please solve .

Q-4 ,please solve . ort Answer Type questions (3/4 Mark Questions) What is meant by correlation ? What are the properties coefficient Of correlations? Interpret the values Of ras 1 Calculate the correlation . —I and O. on their relationship. coefficient between X & Y and comment —3 -2 2 3 9 4 (Ans. r O) 4 Calculate the correlation coefficient between X & Y and comment on their relationship : x 2 3 4 5 3 4 6 7 10 (Ans. r = +0.98) -v- a qratter diaqram and commentover

Dear student,

	X	Y	$x - x$	$y - y$	$(x - x)^{2}$	$(y - y)^{2}$	( $x - x$ ) x ( $y - y$ )
	1	3	-2	-3	4	9	6
	2	4	-1	-2	1	4	2
	3	6	0	0	0	0	0
	4	7	1	1	1	1	1
	5	10	2	4	4	16	8
Sum	15	30			10	30	17
Mean	3	6

r= Correlation

r = \frac{\sum_{} (x - x) (y - y)}{\sqrt{\sum_{} (x - x)^{2} (y - {y)}^{2}}} r = \frac{17}{\sqrt{10 \times 30}} r = \frac{17}{17.32} = 0.98

Hence the X and Y variable have strong positive correlation which means that if X increases Y will also increase and vice versa.

Regards

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