Roger is measuring the length of a hanging spring as various weights are added to it. Using these measurements, he obtained the
following regression equation: y = 0.006x + 11.5, where y is the length of the spring in centimeters and x is the mass added to the spring in grams. What is the meaning of the coefficient 0.006 in this equation?
B.) the length of the spring increases by 0.006 cm for every gram added to it. y = 0.006x + 11.50 where:y = length of the spring in centimetersx = mass added to the spring in grams11.50 = the first number in the sequence0.006 = the common difference among numbers in the sequence. x y1 11.5 + 0.006(1) = 11.50 + 0.006 = 11.506 2 11.5 + 0.006(2) = 11.50 + 0.012 = 11.5123 11.5 + 0.006(3) = 11.50 + 0.018 = 11.5184 11.5 + 0.006(4) = 11.50 + 0.024 = 11.5245 11.5 + 0.006(5) = 11.50 + 0.030 = 11.530 For every 1 gram added, the length of the string increases by 0.006cm hope this helps
