y= 2.52 - 14.10x
Explanation:
Form a table as shown below
x y x² y² xy
13 17 169 289 221
20 19 400 361 380
22 23 484 529 506
18 16 324 256 288
19 20 361 400 380
11 10 121 100 110
10 11 100 121 110
15 18 225 324 270
128 134 2184 2383 2265 sum
The formula for correlation is given by;
y=a + bx
a= ( ∑y)(∑x²) - (∑x)(∑xy) / n (∑x²)-(∑x)²
a=(134)(2184) - (128)(2265) / 8 (2184)-(128²)
a=292656 - 289920 / 17472-16384
a=2.515
b= n (∑xy) -(∑x)(∑y) / n (∑x²)-(∑x)²
b=8 (226) -(128)(134) / 8 (2184) - 128²
b=1808-17152 / 17472-16384
b= -14.10
The equation is thus;
y= a+bx
y= 2.52 - 14.10x
Learn More
Correlation coefficient : https://brainly.com/question/3900657
Keywords : rank, correlation coefficient, set, data
#LearnwithBrainly
