What is the value of n?What is the value of ΣX?What is the value of ΣX2?What is the value of ΣXY?What is the value of ΣY2?What is the value of r? **Instructions:**Use the following formula to calculate the correlation coefficient \( r \):\[r = \frac{n\Sigma xy - \Sigma x \Sigma y}{\sqrt{\left[n\Sigma x^2 - (\Sigma x)^2\right] \left[n\Sigma y^2 - (\Sigma y)^2\right]}}\]Or, alternatively, use these formulas:\[r = \frac{SP}{\sqrt{SS_x SS_y}}\]Where:- \( SP = \Sigma xy - \frac{\Sigma x \Sigma y}{n} \)- \( SS = \Sigma x^2 - \frac{(\Sigma x)^2}{n} \)You will need to calculate \( SS \) for both \( X \) and \( Y \).**Table to Fill:**Calculate the necessary values and fill in the table below to use the equations above to calculate \( r \).| Subject | X | X² | XY | Y | Y² ||-----------|---|----|----|---|----|| Mercutio | 2 | | | 0 | || Juliet | 5 | | | 8 | || Romeo | 4 | | | 5 | || Nurse | 3 | | | 6 | || Prospero | 3 | | | 4 | || \(\Sigma\) | | \(\Sigma\) | \(\Sigma\) | | \(\Sigma\) |Fill in the squares for \( X^2, XY, \) and \( Y^2 \), and calculate the sums (\(\Sigma\)) needed for the equations.

Name: What is the value of n?What is the value of ΣX?What is the value of ΣX
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: What is the value of n?What is the value of ΣX?What is the value of ΣX2?What is the value of ΣXY?What is the value of ΣY2?What is the value of r? **Instructions:**Use the following formula to calculate the correlation coefficient \( r \):\[r = \frac{

Given:- x= 2,5,4,3,3 y=0,8,5,6,4 we have to find ∑x , ∑x2, ∑xy, ∑y, ∑y2 , r so , subject x x2 xy y y2 Mercutio 2 4 0 0 0 Juliet 5 25 40 8 64 Romeo 4 16 20 5 25 Nurse 3 9 18 6 36 Prospero 3 9 12 4 16 ∑x=17 ∑x2=63 ∑xy=90 ∑y=23 ∑y2=141 now , here n=5 ∑x=2+5+4+3+3=17∑x2=4+25+16+9+9=63∑xy=0+40+20+18+12=90∑y=0+8+5+6+4=23∑y2=0+64+25+36+16 and here , r=spssxssyand,sp=∑xy-∑x∑ynssx=∑x2-∑x2nssy=∑y2-∑y2n now, sp=90-17×235sp=90-78.2sp=11.8 ssx=63-1725ssx=5.2andssy=141-2325ssy=35.2 now, r=spssxssy=11.85.2×35.2r=11.8183.04=11.813.52r=0.8721 so, r=0.8721