A Person in a Rowboat 2 Miles from the Nearest

question 118

Multiple Choice

A person in a rowboat 2 miles from the nearest point on a straight shoreline wishes to reach his house which is 6 miles farther down the shore. If he can row at a rate of 6 miles per hour and run at a rate of 10 miles per hour, what is the minimum amount of time (in minutes) it will take him to get home?

• A) 68 minutes
• B) 45 minutes
• C) 52 minutes
• D) 73 minutes

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Definitions:

Regression Analysis

A set of statistical processes for estimating the relationships among variables, often used to predict the value of a dependent variable based on the value of one or more independent variables.

Least Squares

A mathematical method used in regression analysis to find the line of best fit for a set of data by minimizing the sum of the squares of the differences between the observed values and those predicted by the model.

Coefficient Of Correlation

A statistical measure that calculates the strength and direction of a linear relationship between two variables.

Coefficient Of Determination

A statistical measurement that assesses the proportion of variance in the dependent variable that is predictable from the independent variable(s), often denoted as R^2.