Question

You are given the following information about y and x.

y Dependent Variable x Independent Variable
70 2
65 4
78 5
95 6
The least squares estimate of b1 equals:_____
a. 5.83
b. -4.27
c. 11.24

Answer 1

Answee b0 b1 a 5.83 95 6

Answer 2

b0 = 5.83

b1 = 52.23

Explanation:

Given the data:

X:

2

4

5

6

Y

70

65

78

95

General form of a linear regression equation :

y = b1x + b0

b1 = slope ; b0 = intercept

Using an online regression calculator, the regression equation obtained is :

y = 5.8286 + 52.2286x

Comparing the equation ;

b1 = 52.23

b0 = 5.83