Question

Given are data for two variables, x and y.

xi	6	11	15	18	20
yi	5	9	12	19	30

(a) Develop an estimated regression equation for these data. (Round your numerical values to two decimal places.)

ŷ =  

(b) Compute the residuals. (Round your answers to two decimal places.)

xi	yi	Residuals
6	5
11	9
15	12
18	19
20	30

(d) Compute the standardized residuals. (Round your answers to two decimal places.)

xi	yi	Standardized Residuals
6	5
11	9
15	12
18	19
20	30

Consider the following data for two variables, x and y.

xi	135	110	130	145	175	160	120
yi	145	100	120	115	130	130	110

(a) Compute the standardized residuals for these data. (Round your answers to two decimal places.)

xi	yi	Standardized Residuals
135	145
110	100
130	120
145	115
175	130
160	130
120	110

The standardized residual with the largest absolute value is _____ .

Answer 1

1st question

a)

x-bar = 70/5 = 14
y-bar = 75/5 = 15

b = (sum(xy)-n*x-bar*y-bar)/(sum(x2)-n*x-bar^2) = (1251-5*14*15)/(1106-5*14^2) = 1.595238095 = 1.6 (Rounded to 2 decimal places)

a = y-ba-b*x-bar = 15-1.595238095*14 = -7.33333333 = -7.33(Rounded to 2 decimal places)

Formula

b)

xi	yi	Residual
6	5	2.76
11	9	-1.21
15	12	-4.6
18	19	-2.38
20	30	5.43

d)

xi	yi	Residual
6	5	0.68
11	9	-0.3
15	12	-1.14
18	19	-0.59
20	30	1.34