Question

Find the linear that is the best fit for the given data. Round decimals values to the nearest hundredth, if necessary

Answer 1

The linear least squares regression will have a slope of:

m=(nΣxy-ΣxΣy)/(nΣx^2-ΣxΣx)

m=(5*2078-30*281)/(5*220-30*30)

m=1960/200

m=9.8

and a y-intercept of:

b=(Σy-mΣx)/n

b=(281-9.8*30)/5

b=-2.6

So the line of best fit is:

y=9.8x-2.6