Let X={1,2,3,4} and Y={5,7,6,8} be two columns of data. Perform a regression such that X is the predictor and Y is the response

1. What is the slope on the line of best fit through the data?

2. What is the sum of the squares of the errors for this regression?

3. What does this model predict Y will be when X is 5?

4. If the model intercept were instead 5 and the model slope were instead 0.75, what would be the new sum of squares of the errors?