A manager wishes to find out whether there is a relationship between the age of his employees and the number of sick days they take each year. The data for the sample follow. If the first letter of your last name starts with A to M, use level of significance 0.05, otherwise, if the first letter of your last name starts with N to Z, use level of significance 0.01. a. Draw/sketch a SCATTER PLOT with regression line and regression equation. b. State the null and alternative hypotheses. Ho (Null Hypothesis): Ha ( Alternative Hypothesis) c. Level of Significance d. Determine the degrees of freedom (df) and t critical value. e. Correlation coefficient (Pearson r). f. t statistic
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.
A manager wishes to find out whether there is a relationship between the age of his employees and the number of sick days they take each year. The data for the sample follow. If the first letter of your last name starts with A to M, use level of significance 0.05, otherwise, if the first letter of your last name starts with N to Z, use level of significance 0.01.
a. Draw/sketch a
b. State the null and alternative hypotheses.
Ho (Null Hypothesis):
Ha ( Alternative Hypothesis)
c. Level of Significance
d. Determine the degrees of freedom (df) and t critical value.
e.
f. t statistic
g. Compute the slope of regression line.
h. Compute the mean of x and y
i. Compute the intercept of regression line.
j. Write the regression equation
k. Write the complete interpretation of the results and conclusion.
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