1.) The data in the table below show years of teaching experience and annual salary in dollars for 12 randomly selected mathematics instructors in Illinois colleges/ universities for the 2013/2014 school year. Is there a linear correlation between a mathematics instructor’s years of experience and his or her annual salary? Number of Years 7 9 6 7 11 12 11 3 3 7 9 1 Salary (in Dollars) $48,897.00 $62,866.00 $54,585.00 $56,611.00 $53,541.00 $53,541.00 $47,027.00 $47,970.00 $46,668.00 $48,029.00 $46,735.00 $45,000.00 THE OTHER QUESTION 2.) Does incubation or gestation time affect an animal’s average lifespan? Some animals have lifespans that average well over 100 years. The following table lists animals that have some of the longest lifespans on the earth. Is there a correlation between an animal’s gestation/incubation period and its average lifespan in years? Animal: Nile crocodile, Aldabra giant tortoise, Lake sturgeon, Galápagos tortoise, Bowhead whale Average Lifespan (in Years):100 152 152 177 211 Incubation/ Gestation (in Months)3 8 0.25 4.7
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.
1.) The data in the table below show years of teaching experience and annual salary in dollars for 12 randomly selected mathematics instructors in Illinois colleges/ universities for the 2013/2014 school year. Is there a
Number of Years 7 9 6 7 11 12 11 3 3 7 9 1
Salary (in Dollars) $48,897.00 $62,866.00 $54,585.00 $56,611.00 $53,541.00 $53,541.00 $47,027.00 $47,970.00 $46,668.00 $48,029.00 $46,735.00 $45,000.00
THE OTHER QUESTION
2.) Does incubation or gestation time affect an animal’s average lifespan? Some animals have lifespans that average well over 100 years. The following table lists animals that have some of the longest lifespans on the earth. Is there a correlation between an animal’s gestation/incubation period and its average lifespan in years?
Animal: Nile crocodile, Aldabra giant tortoise, Lake sturgeon, Galápagos tortoise, Bowhead whale
Average Lifespan (in Years):100 152 152 177 211
Incubation/ Gestation (in Months)3 8 0.25 4.7
Hypothesis test for BOTH questions I really don't understand what I am doing wrong
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