A)Test the claim, at the a = 0.10 level of significance, that a linear relation exists between the two variables, for the data below, given that y-1885x+ 0.758. -5 |-3| 4 11 --2|0| 2 3 -4 -6 3. -5 Step 1) State the null and alternative hypotheses. Step 2) Determine the critical value for the level of significance, a. Step 3) Find the test statistic or P-value. Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis? tep 5) Write the conclusion.
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)Test the claim, at the a = 0.10 level of significance, that a linear relation exists
between the two variables, for the data below, given that y-1.885x + 0.758.
Step 1) State the null and alternative hypotheses.
Step 2) Determine the critical value for the level of significance, a.
Step 3) Find the test statistic or P-value.
Step 4) Will the researcher reject the null hypothesis or do not the null hypothesis?
Step 5) Write the conclusion.
B) The regression line for the given data is y = -1.885x + 0.758. Determine the
residual of a data point for which x = 2 and y = -4.
C) Give a practical interpretation of the coefficient of determination, R2. Express R2
to the nearest whole percent.
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