T SE Coef 4.570 Predictor Coef P Constant 62.328 13.64 0.000 Study Hours 2.697 0.745 3.62 0.005 S 5.505 R-sq = 56.7% Amber wants to compute a 95 percent confidence interval for the slope of the least squares regression line in the population of all students f for inference are satisfied, which of the following gives the margin of error for the confidence interval? A (2.228) (0.745) 0.745 (2.228) (7) B C (2.228) (5.505) 5.505 (2.228) ( V12 E (2.228) (2.697)
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.
As part of a class project at a large university, Amber selected a random sample of 12 students in her major field of study. All students in the sample were asked to report their number of hours spent studying for the final exam and their score on the final exam. A
Amber wants to compute a 95 percent confidence interval for the slope of the least squares regression line in the population of all students in her major field of study. Assuming that conditions for inference are satisfied, which of the following gives the margin of error for the confidence interval?Image and choices Provided
We have to margin of error for confidence interval for slope.
Formula :
Margin of Error = E =
where , is critical value for given confidence level with df = n-2
is standard error for slope
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