In Australia, wheat grain exports are often affected by little insects, it has been estimated that between one quarter and one third of the world grain crop is lost each year during storage and transportation. Even with the strictest safety precautions and protocols, these insects are not completely eliminated. At the start of the voyage, 40 ants remained among the wheat grains in the cargo hold of the ship. One week into the voyage, there were approximately 310 ants. The model used to estimate the number of ants, N, is N(t) = 400/1+9e(to the power of kt) a) a) although the question says there are 40 ants on the ship at the start of the trip, the exporters wanted independent algebraic proof using the proposed model of N(t)=400/1+9e(to the power of kt) show how the captain used the model to prove there were 40 ants initially N(0) 400/10 = 40 ants b) rearrange the model , without substitution of values , to K= K= In(1/9(400/n(t) -1 )) / 1 c) Now , find the value of k correct to 2 decimal places using all the information from the question
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.
In Australia, wheat grain exports are often affected by little insects, it has been estimated that between one quarter and one third of the world grain crop is lost each year during storage and transportation. Even with the strictest safety precautions and protocols, these insects are not completely eliminated. At the start of the voyage, 40 ants remained among the wheat grains in the cargo hold of the ship. One week into the voyage, there were approximately 310 ants. The model used to estimate the number of ants, N, is N(t) = 400/1+9e(to the power of kt)
a) a) although the question says there are 40 ants on the ship at the start of the trip, the exporters wanted independent algebraic proof using the proposed model of N(t)=400/1+9e(to the power of kt) show how the captain used the model to prove there were 40 ants initially
N(0) 400/10 = 40 ants
b) rearrange the model , without substitution of values , to K=
K= In(1/9(400/n(t) -1 )) / 1
c) Now , find the value of k correct to 2 decimal places using all the information from the question
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