A classic application of correlation involves the association between the temperature and the number of times a cricket chirps in a minute. Listed below are the number of chirps in 1 minute and the corresponding temperature in degrees Fahrenheit. Is there sufficient evidence, at the 5% level of significance, to conclude that there is a linear correlation between the number of chirps in 1 minute and the temperature? 1.State the appropriate critical value you would use to test the significance of the correlation at the 5% level of significance. 2.Make a decision about the following set of hypothesis. H0: The correlation is 0. H1: The correlation is different from 0 3.Draw an appropriate conclusion. 4.State the least squares regression line (equation) 5.The best predicted value for the number of chirps on a day when the temperature is 98.2 is closest to 6.The best predicted value for the number of chirps on a day when the temperature is 78.2 is closest to
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.
A classic application of
Is there sufficient evidence, at the 5% level of significance, to conclude that there is a
1.State the appropriate critical value you would use to test the significance of the correlation at the 5% level of significance.
2.Make a decision about the following set of hypothesis.
H0: The correlation is 0.
H1: The correlation is different from 0
3.Draw an appropriate conclusion.
4.State the least squares regression line (equation)
5.The best predicted value for the number of chirps on a day when the temperature is 98.2 is closest to
6.The best predicted value for the number of chirps on a day when the temperature is 78.2 is closest to
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