Question

1） For the following data, the value of SSE = 16.75. Find the total sum of squares (SST).

y x

15 4

18 6

22 2

18 4

A 8

B 8.75

C 16.75

D 24.75

2）

You are given the following information about y and x. The least squares estimate of the slope is −0.5. Find the least squares estimate of the intercept or b0.

y x

12 6

14 2

16 4

18 4

A -17

B -4

C 4

D 17

Answer #1

Consider the following set of ordered pairs.
x 4 1 2 5
y 5 1 3 6
a) Calculate the slope and y-intercept for these data.
b) Calculate the total sum of squares (SST).
c) Partition the sum of squares into the SSR and SSE.

1) A regression analysis between demand (y in 1,000
units) and price (x in dollars) resulted in the following
equation.
ŷ = 8 − 5x
The above equation implies that if the price is increased by $1,
the demand is expected to
a) increase by 3 units. b) decrease by 5 units. c)
decrease by 5,000 units. d)decrease by 3,000 units.
2) The following information regarding a dependent variable
(y) and an independent variable (x) is
provided.
y
x...

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...

Compute r2 for the following data. The sum
of squares of error (SSE) is 46.6399. Discuss the value of
r2 obtained.
x
12
21
28
8
20
y
17
15
22
19
24
(Round your answer to 3 decimal
places.)
r2 =
This is a
high,low, or modest
value of r2.

The following information regarding a dependent variable (Y) and
an independent variable (X) is provided.
Y
X
4
2
3
1
4
4
6
3
8
5
SSE = 6
SST = 16
Refer to Exhibit 12-4. The least squares estimate of the slope
is
Question 7 options:
1
2
3
4

Exhibit 14-5
You are given the following information about x and
y.
x
Independent Variable
y
Dependent Variable
1
5
2
4
3
3
4
2
5
1
Refer to Exhibit 14-5. The least squares estimate of
b0 (intercept)equals ______.
a. 5
b. 1
c. 6
d. –1
Refer to Exhibit 14-5. The least squares estimate of
b1 (slope) equals _____.
a. 1
b. 5
c. –1
d. 6

A regression and correlation analysis resulted in the following
information regarding a dependent variable (y) and an
independent variable (x).
Σx = 90
Σ(y - )(x - ) = 466
Σy = 170
Σ(x - )2 = 234
n = 10
Σ(y - )2 = 1434
SSE = 505.98
The least squares estimate of the intercept or
b0 equals
Question 18 options:
a)
-1.991.
b)
.923.
c)
-.923.
d)
1.991.

(b)
Use the formulas to calculate the slope and intercept.
(Round your answers to 3 decimal places.)
b1
6.02
b0
55.178
(c)
Use your estimated slope and intercept to make a worksheet to
calculate SSE, SSR, and SST.
(Leave no cells blank - be certain to
enter "0" wherever required. Negative values should be indicated by
a minus sign. Do not round intermediate calculations, but final
answers should be rounded to 3 decimal places.)
Hours Worked
(xi)
Weekly...

1. The least squares criterion, SSE, SSR, and
SST
In the United States, tire tread depth is measured in 32nds of
an inch. Car tires typically start out with 10/32 to 11/32 of an
inch of tread depth. In most states, a tire is legally worn out
when its tread depth reaches 2/32 of an inch.
A random sample of four tires provides the following data on
mileage and tread depth:
Tire
Mileage
Tread Depth
(10,000 miles)
(32nds of an...

You are given the following information about x and
y.
x
Independent Variable
y
Dependent Variable
1
5
2
4
3
3
4
2
5
1
Refer to Exhibit 14-5. The least squares estimate of
b0 (intercept)equals ______.
A) -1
B) 1
C) 5
D) 6

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