Question

1) A regression analysis between demand (*y* in 1,000
units) and price (*x* in dollars) resulted in the following
equation.

*ŷ* = 8 − 5*x*

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 |
---|---|

6 | 2 |

5 | 3 |

6 | 4 |

6 | 5 |

9 | 6 |

SSE = 4.3

SST = 9.2

What is the least squares estimate of the
*y*-intercept?

a) 0.7 b)3.6 c)4 d)6.4

3)The following information regarding a dependent variable
(*y*) and an independent variable (*x*) is
provided.

y |
x |
---|---|

6 | 2 |

7 | 3 |

6 | 4 |

8 | 5 |

7 | 6 |

SSE = 1.9

SST = 2.8

What is the least squares estimate of the slope?

a) 0.3 b) 4 c) 5.6 d) 6.8

Answer #1

1. Slope = -5

So

The above equation implies that if the price is increased by $1,
the demand is expected to **decrease by 3000
units**

2. The statistical software output for this problem is:

Hence,

y - Intercept = **3.6**

**Option B** is correct.

3. Slope = **0.3**

**Option A** is correct.

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

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.

Exhibit 6
The following information regarding a dependent variable (Y) and
an independent variable (X) is provided.
Y X
4 2
6 3
8 4
8 5
11 6
Also given are SSE=1.6 and SST=27.2.
a. Refer to Exhibit 6. What is the least squares estimated
regression equation?
A. Yhat = 1 + 1.6X
B. Yhat = 2 + 3.2X
C. Yhat = 1.6 + 27.2X
D. Yhat = 27.2 + 4.6X
b. Refer to Exhibit 6. What is the...

QUESTION 31
Exhibit 6 (Questions 29-31)
The following information regarding a dependent variable (Y) and an
independent variable (X) is provided.
Y X
4 2
6 3
8 4
8 5
11 6
Also given are SSE=1.6 and SST=27.2.
Refer to Exhibit 6. What is the standard error of estimate?
A. 0.831
B. 0.657
C. 0.912
D. 0.730

A regression analysis between quantity demanded (y in kg ) and
price (x in dollars) of apples resulted in the equation ŷ = 28 -
3x. The estimated regression equation implies that:

A sales manager collected the following data on x =
years of experience and y = annual sales ($1,000s). The
estimated regression equation for these data is
ŷ = 82 + 4x.
Salesperson
Years of
Experience
Annual Sales
($1,000s)
1
1
80
2
3
97
3
4
102
4
4
107
5
6
103
6
8
101
7
10
119
8
10
128
9
11
127
10
13
136
(a)
Compute SST, SSR, and SSE.
SST = SSR = SSE...

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

1）The following information regarding a dependent variable y and
an independent variable x is provided.
Σx = 90
Σy = 340
n = 4
SSR = 101
Additionally, the SSE is equal to 1,872. Find the standard error
of the estimate.
A 7.1063
B 21.6333
C 30.5941
D 44.4185
2）
Consider the data.
Compute the standard error of the estimate.
xi 3 12 6 20 14
yi 60 40 45 5 15

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

You are given the following information about y and x. Dependent
Variable y Independent Variable x 5 1 4 2 3 3 2 6 1 8 Refer to
Exhibit 3. The least squares estimate of b1 (slope) equals

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