Fast reactions: In a study of reaction times, the time to respond to a visual stimulus (x) and the time to respond to an auditory stimulus(y) were recorded for each of 7 subjects. Time was measured in thousandths of a second. The results are presented in the following table. Visual Auditory 126 136 116 126 126 128 107 107 97 140 102 154 161 201 The least-squares regression line y = b0 + b1 x= 167.2342- 0.3151x and E(X-X bar above second x)^2= 757.3333 are known for this data. Construct a 95% confidence interval for the slope. The 95% confidence interval is _____ < B1< ______.
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.
Fast reactions: In a study of reaction times, the time to respond to a visual stimulus (x) and the time to respond to an auditory stimulus(y) were recorded for each of 7 subjects. Time was measured in thousandths of a second. The results are presented in the following table.
Visual Auditory
126 136
116 126
126 128
107 107
97 140
102 154
161 201
The least-squares regression line y = b0 + b1 x= 167.2342- 0.3151x and E(X-X bar above second x)^2= 757.3333 are known for this data. Construct a 95% confidence interval for the slope.
The 95% confidence interval is _____ < B1< ______.
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