Before Technology Was Available to Fit Many Kinds of Models

question 8

Multiple Choice

Before technology was available to fit many kinds of models to data, researchers and others were restricted to using linear models. Because exponential data are common in many fields of study, it has always been important to be able to fit an exponential model to data. Consider the table showing past and predicted populations for a region. Change the data so that they represent the year and natural log of the population. Use the method of least squares to find the best fitting linear model for the changed data where x represents the year. You should keep the data in the form and should not round the values until the final calculation. Give your coefficients to four decimal places.

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Definitions:

Direct Benefits

Advantages that directly affect an individual's fitness or survival chances, often used in the context of mate selection where certain traits provide immediate advantages to the chooser.

Indirect Benefits

Advantages that do not directly influence an organism's survival or reproduction but may enhance the survival or reproductive success of its relatives or offspring.

Sexual Selection

A type of natural selection that arises through preference by one sex for certain characteristics in individuals of the other sex.

Reproductive Success

The passing of genes onto the next generation in a way that they too can pass those genes on, a crucial component of natural selection and evolutionary fitness.