Question

3.

(3 pt) A certain data scientist is testing his predictor (essentially a tool given historical

data and would make predictions using said data) that would make predictions about

Philadelphia’s temperatures. The predictor produces a correct temperature if the

prediction falls within three standard deviations from the target value. Assume that the

expected value of each prediction equals the target value. What is the accuracy of the

predictor if the distribution of measurements is uniform?

Answer 1

Answer:-

Given That:-

A certain data scientist is testing his predictor (essentially a tool given historical

data and would make predictions using said data) that would make predictions about

Philadelphia’s temperatures. The predictor produces a correct temperature if the

prediction falls within three standard deviations from the target value. Assume that the

expected value of each prediction equals the target value.

What is the accuracy of the predictor if the distribution of measurements is uniform?

Let us assume be the random variable which denotes the predictor

Standard deviation =

P(Correct temperature) =

[since from z table]

So the predictor predicts with accuracy of