Question

Use the following linear regression equation to answer the questions.

*x*_{3} = −16.9 +
3.9*x*_{1} +
9.8*x*_{4} −
1.9*x*_{7}

(e) Suppose that *n* = 19 data points were used to
construct the given regression equation and that the standard error
for the coefficient of *x*_{4} is 0.883. Construct a
90% confidence interval for the coefficient of
*x*_{4}. (Round your answers to two decimal
places.)

lower limit | ? |

upper limit | ? |

(f) Using the information of part (e) and level of significance 5%,
test the claim that the coefficient of *x*_{4} is
different from zero. (Round your answers to two decimal
places.)

t |
= | ? |

t critical |
= ± | ? |

Answer #1

Use the following linear regression equation to answer the
questions.
x3 = −17.3 + 3.7x1 +
9.6x4 − 1.7x7
(e) Suppose that n = 20 data points were used to
construct the given regression equation and that the standard error
for the coefficient of x4 is 0.820. Construct a
90% confidence interval for the coefficient of
x4. (Round your answers to two decimal
places.)
lower limit
upper limit
(f) Using the information of part (e) and level of significance 5%,...

19) Use the following linear regression equation to answer the
questions.
x3 = −18.7 +
4.3x1 +
8.6x4 −
1.0x7
(b) Which number is the constant term? List the coefficients with
their corresponding explanatory variables.
constant
x1 coefficient
x4 coefficient
x7 coefficient
(c) If x1 = 5, x4 = -6, and
x7 = 4, what is the predicted value for
x3? (Round your answer to one decimal
place.)
x3 =
(d)
Suppose x1 and x7 were held
at fixed...

Use the following linear regression equation to answer the
questions.
x3 = ?16.6 + 3.7x1 +
8.6x4 ? 1.9x7
If x4 decreased by 2 units, what would we
expect for the corresponding change in
x3?
(e) Suppose that n = 20 data points were used to construct
the given regression equation and that the standard error for the
coefficient of x4 is 0.924. Construct a 90%
confidence interval for the coefficient of x4.
(Round your answers to two decimal places.)...

Use the following linear regression equation to answer the
questions.
x1 = 1.7 + 3.6x2 –
7.7x3 + 2.4x4
Which number is the constant term? List the coefficients with
their corresponding explanatory variables.
constant
x2 coefficient
x3 coefficient
x4 coefficient
If x2 = 1, x3 = 8, and
x4 = 9, what is the predicted value for
x1? (Use 1 decimal place.)
Suppose x3 and x4 were
held at fixed but arbitrary values and x2
increased by 1 unit. What...

Use the following linear regression equation to answer the
questions.
x1 = 1.9 + 3.4x2 –
8.2x3 + 1.5x4
Suppose that n = 15 data points were used to construct
the given regression equation and that the standard error for the
coefficient of x2 is 0.342. Construct a
99%confidence interval for the coefficient of
x2. (Use 2 decimal places.)
Lower Limit:
Upper Limit:
Using the information of part (e) and level of significance 10%,
test the claim that the coefficient...

Use the following linear regression equation to answer the
questions.
x1 = 1.1 + 3.0x2 –
8.4x3 + 2.3x4
(a) Which variable is the response variable?
x3
x1
x2
x4
Which variables are the explanatory variables? (Select all that
apply.)
x1
x2
x3
x4
(b) Which number is the constant term? List the coefficients with
their corresponding explanatory variables.
constant =
x2 coefficient=
x3 coefficient=
x4 coefficient=
(c) If x2 = 4, x3 = 10, and
x4 = 6, what...

Use the following linear regression equation to answer the
questions.
x1 = 1.5 + 3.5x2 –
8.2x3 + 2.1x4
(a) Which variable is the response variable?
A. x3
B.
x1
C. x2
D. x4
(b) Which variables are the explanatory variables?
(Select all that apply.)
A. x4
B. x1
C. x3
D. x2
(c) Which number is the constant term? List the
coefficients with their corresponding explanatory variables.
constant ____________
x2 coefficient_________
x3 coefficient_________
x4 coefficient_________
(d) If x2 =...

Using the following data, determine the equation of the
regression model. How many independent variables are there? Comment
on the meaning of these regression coefficients.
Predictor Coefficient
Constant 123 . 62
x1 - .175
x2 6 . 02
x3 . 00026
x4 . 0041
(Round your answers to 5 decimal places.)
The regression equation is: y?=

In a regression analysis involving 30 observations, the
following estimated regression equation was obtained.
ŷ = 17.6 + 3.8x1 −
2.3x2 +
7.6x3 +
2.7x4
For this estimated regression equation, SST = 1,835 and SSR =
1,800.
(a)At α = 0.05, test the significance of the
relationship among the variables.State the null and alternative
hypotheses.
-H0: One or more of the parameters is not
equal to zero.
Ha: β0 =
β1 = β2 =
β3 = β4 = 0
-H0:...

In a multiple linear regression with 40 observations, the
following sample regression equation is obtained:
yˆy^ = 10.0 + 2.7x1 − 1.4x2
with se = 5.86. Also, when
x1 equals 16 and x2 equals
7, se(yˆ0)se(y^0) = 2.10.
[You may find it useful to reference the t
table.]
a. Construct the 95% confidence interval for
E(y) if x1 equals 16 and
x2 equals 7. (Round intermediate
calculations to at least 4 decimal places,
"tα/2,df" value to 3 decimal places, and...

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