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Suppose an Oil Tanker Hits a Reef and Begins to Leak

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Suppose an oil tanker hits a reef and begins to leak. The efforts of the workers repairing the leak cause the rate at which the oil is leaking to decrease. The oil was leaking at a rate of 41 barrels per hour at the end of the first hour after the accident, and the rate is decreasing at a rate of one barrel per hour. What formula describes the rate of loss in terms of the time t that has lapsed since the leak began? ​


Definitions:

SST

In the context of statistics, often short for Sum of Squares Total, representing the total variability of a dataset.

Estimated Regression Equation

A formula that predicts a dependent variable based on one or more independent variables.

Sales

A measure of the total amount of goods and services sold by a company in a specific period.

Coefficient Of Determination

A statistical measure that explains how much the variance of one variable explains the variance of the second variable.

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