Suppose a regression on pizza sales (measured in 1000s of dollars) and student population (measured in 1000s of people) yields the following regression result in excel (with usual defaults settings for level of significance and critical values).
y = 40 + x
The number of observations were 1,000
The Total Sum of Squares (SST) is 1200
The Error Sum of Squares (SSE) is 300
The absolute value of the t stat of the intercept coefficient is 8
The absolute value of the t stat of the slope coefficient is 20
The p value of the intercept coefficient is 0
The p value of the slope coefficient is 0
You can conclude that the Sample Correlation Coefficient is _______ indicating that there is ________ association between the dependent and the independent variables\