Question

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?

Answer 1

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