Question
The following table number of absences (x) and the grade earned on the first exam (y)...
The following table number of absences (x) and the grade earned on the first exam (y) for a Statistics class.
x: 3, 5, 2, 6, 5, 8
y: 90, 76, 91, 54, 84, 56
The least-squares regression line is in the form y = b_0 + b_1 x. Compute the value of b_0. That is, compute the intercept. Write only a number as your answer.
Homework Answers
Answer #1
| X | Y | X * Y | X2 | Y2 | |
| 3 | 90 | 270 | 9 | 8100 | |
| 5 | 76 | 380 | 25 | 5776 | |
| 2 | 91 | 182 | 4 | 8281 | |
| 6 | 54 | 324 | 36 | 2916 | |
| 5 | 84 | 420 | 25 | 7056 | |
| 8 | 56 | 448 | 64 | 3136 | |
| Total | 29 | 451 | 2024 | 163 | 35265 |
Equation of regression line is Ŷ = a + bX
b = -6.825 
- 7
a =( Σ Y - ( b * Σ X) ) / n
a =( 451 - ( -6.8248 * 29 ) ) / 6
a = 108.153 108
Equation of regression line becomes Ŷ = 108.1533 - 6.8248
X
Intercept a = 108.153
108
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