\(3 \) - Residuals LEARNING OBJECTIVE: Calculate the residual of a given situation. The weekly feed cost for David's rabbit is \( \$ 2.20 \) . The rabbit used in a study weighs nine pounds. Using the equation ŷ \( = 0.5 + 0.16 x \) for the regression line of weekly food cost on weight (weight is explanatory), what is the residual for David's rabbit? a.) \( \$ 0.85 \)
b.) \( \$ 1.35 \)
c.) \( \$ 1.94 \)
d. \( \$ 0.26\)
a
If \( y = f ( g ( h ( x ) ) ) , \) then the derivative \( y ^ { \prime } \) is given by which for
a) \( f ^ { \prime } ( g ( h ( x ) ) \)
b) \( f ^ { \prime } ( g ( h ( x ) ) h ^ { \prime } ( x ) \)
c) None of these
d) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) \)
e) \( f ^ { \prime } ( g ( h ( x ) ) g ^ { \prime } ( h ( x ) ) h ^ { \prime } ( x )\)
Determine the following limits. If infinite, specify \( \infty \) or \( - \infty \) . If an answer does not exist, explain why. (NO POINTS WILL BE GIVEN IF A TABLE OF VALUES IS USED) b. \( \lim _ { x \rightarrow 1 ^ { + } } [ \frac { x } { x - 1 } + \frac { 1 } { \ln ( x ) } ]\)
