17. A company manufactures an electronic device to be used in a very wide temperature range. The company knows that increased temperature shortens the life time of the device, and a study is therefore performed in which the life time is determined as a function of temperature. The following data is found: Temperature in Celsius (x) 10 20 30 40 50 60 70 80 90 Life time in Hours (y) 420 365 285 220 176 117 69 34 5 a. Compute the linear correlation coefficient for this data set. b. Find the percentage variation in the Life time that is explained by the Temperature. c. Test the null and alternative hypotheses to see whether there is a significant linear relationship between the two variables using a significance level of 0.05. d. Fit the regression equation of Life time (y) on Temperature (x) e. Estimate the Life time when the Temperature is 25 Celsius
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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