Simple Linear Regression Analysis

  1. Consider the following regression analysis output:
    Table 3
    Simple Linear Regression Analysis Output

a. What is the sample size?
b. Write out the regression equation. Interpret the slope and intercept values.
c. If the value of the independent variable is 10, what is the estimate of the value of the dependent variable?
d. Calculate the coefficient of determination. Interpret the value.
e. Calculate the correlation coefficient. Interpret the value
f. Conduct a test of hypothesis to determine a statistical significance of the slope and the intercept in the regression output presented above.

  1. What are the assumptions in the multiple regression analysis, explain each assumption.

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