Suppose that a researcher selects a random sample of 200 columnists from a large newspaper company to study the factors affecting the productivity of these columnists (measured by the number of words they write in a day). She estimates the following regression equation: W=648.12-0.84 S+0.11 Inc+ 1.76 Exp+0.84 HS, where W denotes the number of words they write in a day, S denotes the number of minutes they spend browsing social networking sites in a day, Inc denotes the monthly salary they earn, Exp denotes the number of years of experience they have, and HS denotes their daily overall health measured by a health score on a scale of 1 to 100 which includes various health indicators. The researcher hypothesizes that after controlling for the social media browsing time and the overall health, neither income nor experience have a significant effect on the productivity of the columnists, i.e., B, and Bz are jointly zero. The researcher calculates the test statistics for individually testing the null hypotheses B, = 0 and B =0 to be 2.55 and 2.87, respectively. Suppose that the correlation between these test statistics is found to be 0.72. 4 The F-statistic associated with the above test will be (Round your answer to two decimal places.) 6 the null hypothesis. At the 1% significance level, we will 014 fail to reject reject
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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