A) is there a linear association between mammals’ gestation and longevity? Explain your answer completely. Use a scatter plot and the correlation coefficient to justify your answer. B) use technology to find the equation for the least squares line for predicting a mammal’s gestation period (y) from its longevity (x). Y= C) use the least squares line to calculate the predicted gestation for a baboon. D) calculate the residual value for the gestation of a baboon, and state whether you overpredicted or under predicted the gestation for a baboon in part (c). E) use the original least squares line to predict the gestation period of human being, assuming a longevity of 75 years. F) why does your answer for part (E) differ so much from the average gestation period of a human (280 days)? A biologist believes that the gestation period for a mouse is not 21 days, as reported. She decided to randomly selected 35 Mice and record their gestation times, in days. The results are given in the following table: G) is there evidence to suggest that the average gestation period for a mouse is different from 21 days? Use a=0.05. Be sure to complete all of the necessary steps of the hypothesis test. No need to show work for calculations. H) estimates the average gestation period of a mouse using a 95% confidence interval, and interpret your answer.
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.
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- Calculate the residual value for the gestation of a baboon, and state whether you overpredicted or underpredicted the gestation for a baboon in part (c).