Question

The following table compares the completion percentage and interception percentage of 55 NFL quarterbacks.

Completion Percentage	5858	5959	6161	6464	6565
Interception Percentage	4.54.5	44	3.53.5	3.53.5	3

Step 1 of 5 : Calculate the sum of squared errors (SSE). Use the values b0=14.2608 b 1 = − 0.1720 for the calculations. Round your answer to three decimal places

Answer 1

Obs.	X	Y	X_i^2	Y_i^2	Xi​⋅Yi​
1	55	4.2	3025	17.64	231
2	61	4	3721	16	244
3	61	3	3721	9	183
4	63	2.8	3969	7.84	176.4
5	63	2.6	3969	6.76	163.8
Sum =	303	16.6	18405	57.24	998.2

The sum of squares obtained from the table above are:

The slope and y-intercept coefficients are computed using the following formulas:

Therefore, the regression equation is:

Now, we know that the total sum of squares is:

Also, the regression sum of squares is computed as follows:

Since we know that

then we can compute the sum of squared errors as follows:

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