Question

The estimated regression equation for a model involving two independent variables and 10 observations follows.

Y= 30.7752 + 0.6659x1+ 0.3724x2

**a.** Interpret b1 and b2 in this estimated
regression equation.

**b1= -------**

Select your answer:

**-y changes by 0.6659 when x1 increases by 1 unit and x2
stays the same**

**-y changes by 0.6659 when x2 increases by 1 unit and x1
stays the same**

**- y changes by 0.3724 when x1 increases by 1 unit and x2
stays the same**

**-y changes by 0.3724 when x2 increases by 1 unit and x1
stays the same**

**B2= ---------**

Select your answer:

**-y changes by 0.6659 when x1 increases by 1 unit and x2
stays the same**

**-y changes by 0.6659 when x2 increases by 1 unit and x1
stays the same**

**- y changes by 0.3724 when x1 increases by 1 unit and x2
stays the same**

**-y changes by 0.3724 when x2 increases by 1 unit and x1
stays the same**

**b.** Estimate y when x1=180 and x2= 310 (to 3
decimals).

Answer #1

The estimated regression equation for a model involving two
independent variables and 10 observations follows.
^
y = 25.0793 + 0.6944x1 + 0.8028x2
a. Interpret and in this estimated regression equation.
b1 = ____
Select your answer: y changes by 0.6944 when x1 increases by 1 unit
and x2 stays the same
y changes by 0.6944 when x2
increases by 1 unit and x1 stays the same
y changes by 0.8028 when x1
increases by 1...

The estimated regression equation for a model involving two
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x1 + .5196 x2
A. Interpret and in this estimated regression equation.
b1 =
b2 =
B. Estimate when y x1=180 and x2=310 (to 3 decimals).

The estimated regression equation for a model involving two
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y=27.1671 + 0.7533x1 + 0.7419x2
b1=
b2=
estimate y when x1=180 and x2= 310

The estimated
regression equation for a model involving two independent variables
and 55 observations is:
y-hat = 55.17 +
1.1X1 - 0.153X2
Other statistics produced for analysis
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SSR = 12370.8
SST = 35963.0
Sb1 = 0.33
Sb2 = 0.20
Interpret b1 and b2 in this estimated regression equation
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Compute R-square and Adjusted R-Square.
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In a regression analysis involving 30 observations, the
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ŷ = 18.9 + 3.2x1 − 2.2x2 +
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(a)
Interpret
b1
in this estimated regression equation.
b1 = 7.8 is an estimate of the change in
y corresponding to a 1 unit change in
x3 when x1,
x2, and x4 are held
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in y corresponding to a 1 unit change in
x1 when x2,...

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ŷ = 17.6 + 3.8x1 −
2.3x2 +
7.6x3 +
2.7x4
For this estimated regression equation, SST =
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_________
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(a) At α = 0.05, test whether
x1 is significant.State the
null and alternative hypotheses.
H0: β1 ≠ 0
Ha: β1 = 0
H0: β0 ≠ 0
Ha: β0 =
0
H0: β0 = 0
Ha: β0 ≠ 0
H0: β1 = 0
Ha: β1 ≠ 0
Find the value...

In a regression analysis involving 27 observations, the
following estimated regression equation was developed.
ŷ = 25.2 + 5.5x1
For this estimated regression equation SST = 1,600 and SSE =
550.
(a) At α = 0.05, test whether
x1is significant.State the null and
alternative hypotheses.
H0: β0 = 0
Ha: β0 ≠ 0
H0: β0 ≠ 0
Ha: β0 =
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H0: β1 ≠ 0
Ha: β1 = 0
H0: β1 = 0
Ha: β1 ≠ 0
Find the value...

In a regression analysis involving 27 observations, the
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ŷ = 25.2 + 5.5x1
For this estimated regression equation SST = 1,600 and SSE =
550.
(a) At α = 0.05, test whether
x1 is significant.
State the null and alternative hypotheses.
H0: β0 = 0
Ha: β0 ≠
0H0: β0 ≠ 0
Ha: β0 =
0 H0:
β1 ≠ 0
Ha: β1 =
0H0: β1 = 0
Ha: β1 ≠ 0
Find the value of...

Given are five observations for two variables, x and y.
X: 1 2 3 4 5
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values of b0 and b1 (to 1 decimals).
y= _____ + ______x
c. Use the estimated regression equation to predict the value of
y when x=4 (to 1 decimals).
y=_____

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