After studying the milk yields of a randomly selected sample of 900 cows, researchers felt that the presence of white spots (WS) on a cow's body led to a different let milk production (MP). The researchers estimate the OLS regression: MP = 5.36 +0.12×WS,, (2.23) (1.04) where WS, is a binary variable of the form: 1, if the " cow has white spots WS, = 0, if the in cow doesn't have white spots The 95% confidence interval for the coefficient B, is (Round your answers to four decimal places.) V the hypothesis B, = 0 at the 5% significance level. Based on this interval, we will Which of the following statements describes the way in which the coefficient of the indicator variable could be interpreted in this case? O A. The coefficient is the rate of change in the milk production due to a unit change in the number of cows with white spots. O B. The coefficient of the indicator variable is the slope of the regression equation. O C. The coefficient is the difference between the population means of the milk production of cows with and without white spots. Click to select your answer(s).
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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