Determine the regression equation (write the regression
equation) of the following data, where Y is the dependant variable
and X is the predictor:
X
Y
5
85
4
103
6
70
5
82
5
89
5
98
6
66
6
95
2
169
7
70
7
48
b) Interpret the regression coefficients.
c) Graph the regression line.
d) Use the regression equation to predict Y for
X=3.
e) Compute the coefficient of
determination.
f) Interpret the coefficient of
determination.
g)...
The data for a sample of 100 gave the regression line equation
for age and blood pressure is Ÿ = 100 + 0.96X, and the standard
error is 5. The 95% confidence interval of the prediction of the
blood pressure of a person who is 43 years old showed that the
upper confidence limit is :
Select one:
A. 155.08
B. 159.08
C. 149.09
D. 151.08
. Draw a plot of the following set of data
and determine the linear regression equation. What is
the
value of the slope and
intercept? What is r and
R2? Are there any outlier
values? (15 points)
Age
(X): 20 25 36 29 41 35 56 43 66 50 59 67 51 75 75 81 54 66 52 48
Total Body
Water
(Y): 61 57 52 59 53 58 48 51 37 44 42 41 48 38 41 39 47 42 51 50
ECONOMETRICS 2
1) Consider the following estimated regression
equation where the sample size is 78 (quarterly data):
IND - OUTPUT (dependent variable): Industrial Production
Index.
PRICE (independent variable): Industrial Price Index.
LOGIND-OUTPUT= -76.5- 0.39
LOG(PRICE)
t
statistics:
(-1.35)
(-0.72)
a) Interpret and test the coefficient of LOG(PRICE)?
Assume that an additional
regression was run as:
LOGIND-OUTPUT= -33.5 +0.46
LOGPRICE+0.009 T
t
statistics:
(-4.63)
(2.78)
(3.55)
where T is a time trend.
b) Interpret the coefficient of T...
In a multiple linear regression with 40 observations, the
following sample regression equation is obtained:
yˆy^ = 12.5 + 2.4x1 − 1.0x2
with se = 5.41. Also, when
x1 equals 16 and x2 equals
5, se(yˆ0)se(y^0) = 2.60.
[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 5. (Round intermediate
calculations to at least 4 decimal places,
"tα/2,df" value to 3 decimal places, and...
Consider the following data regarding students' college GPAs and
high school GPAs. The estimated regression equation is
Estimated College GPA=0.67+0.6551(High School GPA).Estimated
College GPA=0.67+0.6551(High School GPA).
Compute the sum of squared errors (SSESSE) for the model. Round
your answer to four decimal places.
GPAs
College GPA
High School GPA
2.022.02
3.293.29
2.812.81
3.113.11
2.532.53
3.303.30
3.763.76
4.974.97
3.083.08
3.003.00
3.963.96
3.873.87
Use the following data set to calculate the regression equation.
What would you estimate the happiness rating for someone who has 5
children to be?
Number of children
Happiness Rating
2
1
5
5
8
6
4
3
5
5
6
7
1
2
6
5
3
2
Question 3 Determine the equation of the regression line for the
following data, and compute the residuals. x 15 9 20 11 4 y 48 35
55 44 18 Do not round the intermediate values. (Round your answers
to 3 decimal places.) Do not round the intermediate values. (Round
your answers to 3 decimal places.) x y Residuals 15 48 9 35 20 55
11 44 4 18
For the data and sample regression equation shown below,
complete parts (a) through (c).
x
0
3
5
5
5
ModifyingAbove y with caret equals 4.500 minus 0.917
xy=4.500−0.917x
y
4
3
0
−2
1
a. Determine the standard error of the estimate.
b. Construct a residual plot.
c. Construct a normal probability plot of the residuals.
LOADING...
Click the icon to view the table of normal scores.
Consider the following regression equation for salaries. Female
and Male are dummy variables. The value of Female = 1 for a female
and 0 otherwise. The value of Male is 1 for Male and 0
otherwise.
^Sal = 0.88 - 3.58 Female+ 0.25 Age + 1.12 Male
a) Describe in words the classical assumption violated by this
equation.
b) What change would you make to the equation to correct the
problem mentioned in a)