Which equation of the least squares regression line most closely matches the data set? x y
2 100
4 83
6 50
8 35
10 23
yˆ=−0.31x+37.3
yˆ=−2.3x+97.9
yˆ=−10.1x+118.8
yˆ=−0.09x+11.5

 x      y        x^2      xy
 
2    100        4      200
4     83        16     332
6     50        36     300
8     35        64     280
10   23      100     230

∑x = 30; ∑y = 291; ∑x^2 = 220; ∑xy = 1,342; n = 5



The least squares regression line equation is given by y = bx + a = -10.1x + 118.9.

It has a slope of 1 nd a y intercept of -2