Use linear regression to find the equation for the linear function.

Question

Use linear regression to find the equation for the linear function that best fits this data. Round both numbers to two decimal places. Write your final answer in a form of an equation �=�⁢�+�	x	1	2	3	4	5	6
y	80	108	130	143	157	180

Answer 1

y=66.99 + 18.86x

y=a+bx

b = Sxy/Sxx

a = ybar-bxbar

Sxy =sumxy -sum(x)sum(y)/n=3123-21(798)/6= 330

Sxx = sumx^2 - (sumx)^2/n=91-441/6= 17.5

330/17.5= 18.86

ybar= 133,xbar=3.5

a= 133-18.86(3.5)= 66.99

sum(x)=1+2+3+4+5+6=21

sum(x^2) = 1+4+9+16+25+36= 91

sum(y)= 798

sum(xy)= 3123

n=6