Question

Consider the following set of ordered pairs. Complete parts a through c.

x 5 3 1 1    1

y 10 7 0 1 −2

a. Calculate the slope and​ y-intercept for these data.

y = () +() x ​(Round to four decimal places as​ needed.)

b. Calculate the total sum of squares​ (SST).

SST = ​(Round to one decimal place as​ needed.)

c. Partition the sum of squares into the SSR and SSE.

SSE =​(Round to three decimal places as​ needed.)

SSR = ​(Round to three decimal places as​ needed.)

Answer 1

The statistical software output for this problem is :

Simple linear regression results:
Dependent Variable: y
Independent Variable: x
y = -2.78125 + 2.71875 x
Sample size: 5
R (correlation coefficient) = 0.95935137
R-sq = 0.92035506
Estimate of error standard deviation: 1.652019

Analysis of variance table for regression model:

Source	DF	SS	MS	F-stat	P-value
Model	1	94.6125	94.6125	34.667176	0.0098
Error	3	8.1875	2.7291667
Total	4	102.8

(a)

y = -2.7813 + 2.7188 x

(b)

SST = 102.8

(c)

SSE = 8.188

SSR = 94.613