A computer engineer needs to know how the efficiency of a new computer program depends on the size of incoming data. Efficiency will be measured by the number of processed requests per hour. Applying the program to data sets of different sizes with the following results. The response variable is the number of processed requests (Y) and to predict it from the size of a data set (X). Estimate the quadratic regression model and use it to find the processed requests when the data size is 14 GB. Data size (GB) X 6 7 7 8 10 10 15 Processed requests Y 50 43 44 37 25 26 15
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 computer engineer needs to know how the efficiency of a new computer
program depends on the size of incoming data. Efficiency will be measured
by the number of processed requests per hour. Applying the program to
data sets of different sizes with the following results. The response variable
is the number of processed requests (Y) and to predict it from the size of a
data set (X). Estimate the quadratic regression model and use it to find the
processed requests when the data size is 14 GB.
Data size (GB) X 6 7 7 8 10 10 15
Processed requests Y 50 43 44 37 25 26 15
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