Data

(Hours Studied)	(Test Score)
1	2
2	3
3	5
4	4
5	6

Step 1: Calculate Means

Step 2: Calculating Slope

• The numerator

• The denominator

• The slope is

Step 3: Calculate Intercept

Step 4: Calculate p-Value

• Calculate Standard Error of the Slope ()

• Calculate the Residual Sum of Squares (RSS)

• Calculate the t-statistic for the Slope

• Determine Degrees of Freedom

• Look up the p-value corresponding to with 3 degrees of freedom

Step 5: Calculate ()

(Regression Sum of Squares): sum of the squared differences between the predicted values and the mean of the observed values.

(Total Sum of Squares): sum of the squared differences between the observed values and the mean of the observed values.

Adjusting for the number of independent variables

• : number of observations
• : number of independent variables