The population of a certain country from 1970 through 2010 is shown in the table x, Number of Years co the right. a. Use your graphing utility's exponential regression option to obtain a model of y, Population (millions) 208.7 after 1969 1 (1970) 11 (1980) 21 (1990) 31 (2000) 41 (2010) 240.5 the form y = ab* that fits the data. How well does the correlation coefficient, r, indicate that the model fits the data? b. Rewrite the model in terms of base e. By what percentage is the population increasing each year? 255.7 271.9 315.4 The model of the form y = ab* that fits the data is y = (Type integers or decimals rounded to three decimal places as needed.) How well does the model fit the data? Since the correlation coefficient is r ||, the model fits the data (Round to three decimal places as needed.) b. The model obtained in the previous step in terms of base e is y =e. (Type integers or decimals rounded to three decimal places as needed.) The population is increasing by approximately % each year. (Round to one decimal place as needed.)

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.