Population model A culture of bacteria has a population of 150 cells when it is first observed. The population doubles every 12 hr, which means its population is governed by the function p1t2 = 150 # 2t>12 , where t is the number of hours after the first observation. a. Verify that p102 = 150, as claimed. b. Show that the population doubles every 12 hr, as claimed. c. What is the population 4 days after the first observation? d. How long does it take the population to triple in size? e. How long does it take the population to reach 10,000?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Population model A culture of bacteria has a population of 150
cells when it is first observed. The population doubles every
12 hr, which means its population is governed by the function
p1t2 = 150 # 2t>12
, where t is the number of hours after the first
observation.
a. Verify that p102 = 150, as claimed.
b. Show that the population doubles every 12 hr, as claimed.
c. What is the population 4 days after the first observation?
d. How long does it take the population to triple in size?
e. How long does it take the population to reach 10,000?
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