Question

A rabbit's weekly food cost is estimated to be $2.20. The rabbit involved in a study weighs nine pounds. Using the equation y=0.5+0.16xy=0.5+0.16x for the regression line of weekly food cost on weight, what is the residual for the rabbit?

A) $1.86
B) $0.44
C) $2.64
D) $1.10

Answer 1

To find the residual for the rabbit, substitute the weight into the regression line equation and calculate the difference between the actual and estimated values.

Step-by-step explanation:

To find the residual for the rabbit, we need to substitute the weight of the rabbit into the regression line equation. Given that the rabbit weighs nine pounds, we can plug this value into the equation y = 0.5 + 0.16x:

y = 0.5 + 0.16 * 9

y = 0.5 + 1.44

y = 1.94

The estimated weekly food cost for the rabbit is $1.94. Since the actual weekly food cost is $2.20, we can find the residual by subtracting the estimated value from the actual value:

Residual = Actual value - Estimated value

Residual = $2.20 - $1.94 = $0.26

Therefore, the residual for the rabbit is $0.26.