Consider the linear model f(x) = 5.2x - 3

Question

Consider the linear model f(x) = 5.2x - 3. If needed, round your answer to the nearest tenth.

Given a residual of -0.2 at x = 1, find the observed value. Answer: 

Given a residual of 2.1 at x = 4, find the observed value. Answer: 

Answer 1

Error = y - line estimate

= observed - f(x)

Error + f(x) = observed

(a) observed = -0.2 + [5.2 * 1 - 3]

= -0.2 + [5.2-3]

= -0.2 + 2.2

= 2

(b) observed = 2.1 + [5.2 * 4 - 3]

= 2.1+ [20.8-3]

= 2.1+ 17.8

= 19.9