Question

from unit 3, lesson 6
tyler creates a scatter plot that displays the relationship between the grams of food a hamster eats, x, and the total number of rotations that the hamsters wheel makes, y. tyler creates a line of best fit and finds that the residual for the point (1.4, 1250) is -132. the point (1.2, 1364) has a residual of 117. interpret the meaning of 117 in the context of the problem.

Explanation:

Residual is calculated as \( \text{Residual}=\text{Observed value}-\text{Predicted value}\). For the point \((x = 1.2,y = 1364)\) with a residual of \(117\), it means that when the hamster eats \(1.2\) grams of food (\(x = 1.2\)), the actual number of rotations of the wheel (\(y = 1364\)) is \(117\) more than the number of rotations predicted by the line of best fit.

Answer:

When the hamster eats \(1.2\) grams of food, the actual number of rotations of the wheel is \(117\) more than the number of rotations predicted by the line of best fit.