Aset of data points has a line of best fit of y = –0.2x + 1.9. what is the residual for the point (5, 1)? a. 0.1 b. -0.1 c. 0.9 d. 1.7

A. 0.1
    The residual is the difference between the observed value and the predicted value for a data point. You obtain it by subtracting the predicted value from the observed value. So the predicted value is: y = -0.2x + 1.9 y = -0.2*5 + 1.9 y = -1 + 1.9 y = 0.9 Therefore the residual is: r = 1 - 0.9 r = 0.1 And the value of 0.1 matches option "A".

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.