Question

10. Consider the following summary statistics. Using the boxplot outlier test, potential outliers would be any value above what?: *

(A) 156 (B) 183 (C) 255 (D) 282

Questions 11-12: Consider the simple linear regression model y = a + bx. Now select a sample size of 10 with the following information: Σ x Σ = 56 y Σ ( = 67 x – x )( y – y Σ ( ) = 780 x – x ) 2 = 1250 11. What is the estimated value of b?: *

(A) 0.50 (B) 0.62 (C) 0.72 (D) 1.00

12. What is the estimated value of a?: *

(A) 1.8 (B) 2.9 (C) 3.2 (D) 4.5

Answer 1

The solution of the system can be presented as:

= 56 / 10 = 5.6 X = (1/n). Σx = 67/ 10 = 6.7 y = (1/n). Σy Sα - Σx - xx - x)
Sy - Σ(x – xly-y)
a =y-b.x $b = \frac{Sxy}{Sxx}$

given-

Σ x = 56

Σ y = 67

Σ (x – x )( y – y) = 780

Σ (x – x ) 2 = 1250

11)

$b = \frac{Sxy}{Sxx}$

b = Σ (x – x )( y – y) / Σ (x – x ) 2

b = 780 / 1250 = 0.62

12)

a =y-b.x

a = 6.7 - (0.62 * 5.6)

a = 6.7 - 3.472

a = 3.2

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