Question

a multiple regression with four explanatory variables and 100
observations, it is found that *SSR* = 4.75 and *SST*
= 7.62.

**a.** Calculate the standard error of the estimate
*s _{e}*.

STANDART ERROR | ....................... |

**b.** Calculate the coefficient of determination
*R*^{2}. **(Round your answer to 4 decimal
places.)**

Coefficient of determination | ................................ |

**c.** Calculate adjusted coefficient of determination
*R*^{2}. **(Round your answer to 4 decimal
places.)**

adjusted coefficient of determination | .................... |

Answer #1

1. A sample of data with n = 43 observations is used to run a
multiple regression with 5 independent variables. If this data set
has SST = 1908.5 and SSR = 1055.4, what is the value of the
adjusted multiple coefficient of determination? Round your answer
to three decimal places.
2. A sample of data with n = 43 observations is used to run a
multiple regression with 6 independent
variables.
If this data set has SST = 1314.8...

A sample of 5 observations collected in a regression study on
two variables, x(independent variable) and y(dependent variable).
The sample resulted in the following data.
summation (x_i-xbar)2=15, summation
(x_i-xbar)(y_i-ybar)=60, xbar=3, ybar=10
Calculate the y-intercept (b_0) of the estimated regression
equation.
A sample of 11 observations collected in a regression study on
two variables, x(independent variable) and y(dependent variable).
The sample resulted in the following data.
summation (x_i-xbar)2=22, summation
(x_i-xbar)(y_i-ybar)=64, xbar=3, ybar=10
Calculate the slope of the estimated regression equation.
A sample of...

The following results were obtained as part of a multiple
regression analysis involving 3 independent variables:
SSR = 11440 SSYY = 16781
and n = 28
What is the value of the calculated F statistic?
What is the critical value for the model test if alpha =
0.05?
What is the value of the coefficient of determination?
What is the value of the standard error of the estimate?
What is the value of adjusted R2?
What are the total number...

Given are five observations for two variables, and . 1 2 3 4 5 4
6 8 12 14
The estimated regression equation for these data is .
^y=1+2.6x
a. Compute SSE, SST, and SSR using the following equations (to 1
decimal). SSE=Σ(yi-^yi)
SST=Σ(yi-^yi) SSR=Σ(yi-^yi)
b. Compute the coefficient of determination r^2 (to 3 decimals).
Does this least squares line provide a good fit?
c. Compute the sample correlation coefficient (to 4
decimals)

A sample of 12 observations collected in a regression study on
two variables, x(independent variable) and y(dependent variable).
The sample resulted in the following data.
SSR=77, SST=88, summation (x_i-xbar)2=23,
summation (x_i-xbar)(y_i-ybar)=44.
Calculate the t test statistics to determine whether a
statistically linear relationship exists between x and y.
A sample of 7 observations collected in a regression study on
two variables, x(independent variable) and y(dependent variable).
The sample resulted in the following data.
SSR=24, SST=42
Using a 0.05 level of significance,...

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...

1, As a result of running a simple regression on a data set, the
following estimated regression equation was obtained:
= 1.6 −
3.0x
Furthermore, it is known that SSR = 674, and SSE = 128.
Calculate the correlation coefficient R ; round
your answer to three decimal places.
2.
A sample of data with n = 22 observations is used to run a
multiple regression with 8 independent
variables.
If this data set has SST = 2309.1068 and SSE...

Given are five observations collected in a regression study on
two variables.
x i
2
6
9
13
20
y i
7
18
9
26
23
1. Compute SSE, SST, and SSR (round to one decimals).
2. Compute the coefficient of determination (round to four
decimals).
3. Compute the mean square error (round to two decimals).
4. Compute the estimated standard deviation of
b1 (round to four decimals).
5. Compute the p-value and t value (test statistic) of
the t...

Consider the ANOVA table that follows.
Analysis of Variance
Source
DF
SS
MS
F
Regression
3
3,662.36
1,220.79
27.55
Residual Error
54
2,392.82
44.31
Total
57
6,055.18
a-1. Determine the standard error of estimate.
(Round your answer to 2 decimal places.)
a-2. About 95% of the residuals will be between
what two values? (Round your answers to 2 decimal
places.)
b-1. Determine the coefficient of multiple
determination. (Round your answer to 3 decimal
places.)
b-2. Determine the percentage variation for...

The owner of a movie theater company used multiple regression
analysis to predict gross revenue (y)
as a function of television advertising
(x1) and newspaper advertising
(x2). The estimated regression
equation was
ŷ = 82.5 + 2.26x1 +
1.30x2.
The computer solution, based on a sample of eight weeks,
provided SST = 25.3 and SSR = 23.415.
(a)Compute and interpret R2
and Ra2.
(Round your answers to three decimal places.)
The proportion of the variability in the dependent variable that...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 24 minutes ago

asked 29 minutes ago

asked 34 minutes ago

asked 43 minutes ago

asked 43 minutes ago

asked 48 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 3 hours ago