Solve the Problem. -The Population (In Hundred Thousands) for the Colonial United States

question 488

Essay

Solve the problem.
-The population (in hundred thousands) for the Colonial United States in ten-year increments for the years
1700-1780 is given in the table. (Source: 1998 Information Please Almanac) State whether the data can be more accurately modeled using an exponential function or a logarithmic function. Using a
graphing utility, find a model for population (in hundred thousands) as a function of decades since 1700.

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Definitions:

Significant Results

Findings in research that show a statistically meaningful relationship between variables, suggesting the observed effect is unlikely to be due to chance alone.

Problematic Behavior

Actions or patterns of behavior that are disruptive, harmful, or maladaptive, causing distress or impairment.

Correlation Coefficient

A numerical index that ranges from -1.0 to 1.0 and reflects the extent to which two variables are linearly related.

Scatter Plot

A diagram that shows the relationship between two variables by displaying points on a two-dimensional plot. Usually the two variables are denoted x and y, each point represents a pair of scores, and the x variable is plotted on the horizontal axis while the y variable is plotted on the vertical axis.