Question 11 W Baseball statisticians studied how often triples (a certain event in a baseball game) occurred in professional games played between 1947 and 2017. A 98 percent confidence interval to estimate the slope of the linear regression line relating the year, x, and the mean number of triples per game, y, yielded (-0.006, –0.002). A check shows that the conditions necessary for inference for the slope of the regression line are met. Based on the confidence interval, which of the following claims is supported? A The mean number of triples per game is between 0.002 and 0.006. в The number of triples per game has increased, on average, per year. There is no linear relationship between the mean number of triples per game and year. D There is a negative linear relationship between the mean number of triples per game and year. E A conclusion cannot be made about the relationship between year and mean number of triples per game because the values are close to 0.
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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