In: Statistics and Probability

18) The ratio of the regression coefficient to its standard
error is called:

A) t-statistic.

B) F-statistic.

C) partial F-statistic.

D) coefficient of determination.

Answer:

19) The range of values in which we can be confident that the
true regression coefficient lies within a given degree of
probability is called a:

A) prediction interval.

B) confidence interval.

C) logistic regression.

D) none of the above.

Answer:

20) The estimated regression equation is Y = 10 + 2.5X, if X
=0 than the predicted value of Y is equal to:

A) 12.5

B) 10

C) 2.5

D) 7.5

Answer:

The ratio of the regression coefficient to its standard error is called t- statistics . As from the formulae for calculating t value we can directly find that it is the ratio of regression coefficient mean1- mean2 to standard error.

In next question to obtain a prediction interval we first plough the regression equation and then predict the range.

To calculate the value of Y from the regression equation we need to substitute the value of x=0 in the regression equation.

If the coefficient on a variable is -14.2 and the standard error
is 4.4, is the squirrel variable statistically significant?
a. yes
b. no

1. If the test statistic (the calculated F ratio) is 10 and the
error variance is 5, what is the treatment variance?
2. If the treatment Sum of Squares is 400, and k=5, what is the
treatment variance?
3. What is the table value for F(11,46) when alpha = .05?
4. What is the lowest possible value for the F statistic?
5. The following table shows the results of an analysis of
variance comparing three treatment conditions with a sample...

What does a t-statistic of 1.35 for a coefficient on a variable
mean in the context of an empirical study in economics? Why?

In simple linear regression, r 2 is the
_____.
a.
coefficient of determination
b.
coefficient of correlation
c.
estimated regression equation
d.
sum of the squared residuals
QUESTION 3
A least squares regression line ______.
a.
may be used to predict a value of y if the
corresponding x value is given
b.
implies a cause-effect relationship between x and
y
c.
can only be determined if a good linear relationship exists
between x and y
d.
All of the...

Xi
3
12
6
20
14
Yi
55
40
55
10
15
B – Compute the Standard Error of the estimate.

SHORT ANSWER: Why do we divide by the standard error when
computing a test statistic?

Based on the below data what will be the value of standard
error?
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
8
ANOVA
df
SS
MS
F
Regression
1
33
33.0
16.5
Residual
6
12
2.0
Total
7
Coefficients
Standard Error
t Stat
P-value
Intercept
9
31.274666
3.984284
0.007248
Advertising (thousands of $)
24
6.19330674
1.610802
0.158349
Submit
Answer format: Number: Round to: 2 decimal
places.

In a multiple linear regression how do we calculate
the standard error of B2 ( we have two independent variables and a
constant so we have B0 B1 and B2) how do we calculate the standard
error of the three.

Develop a least-squares estimated regression line. Also, compute
the coefficient of determination and explain its meaning.
Price (x)
Units sold (y)
34
4
36
4
32
6
35
5
31
9
38
2
39
1

Develop a least-squares estimated regression line. Also, compute
the coefficient of determination and explain its meaning.
Price (x)
Units sold (y)
34
4
36
4
32
6
35
5
31
9
38
2
39
1

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