Question
1. The following data have been observed on the dependent variable Y and on an explanatory...
1. The following data have been observed on the dependent variable Y and on an explanatory variable X:
yi 22 38 16 39 55
xi 10 35 20 30 20
(a) Calculate the ordinary least squares (OLS) estimates of the
intercept and slope parameters.
(b) Calculate the sample variance of both variables (S²x and S²y)
and the sample correlation between X
and Y . Explain what the calculated value of the correlation
means.
Homework Answers
Answer #1
A)
B)
The values are positively correlated but correlation is not strong.
please upvote if i'm able to help you it means a lot
thank you
Not the answer you're looking for?
Similar Questions
Suppose you have a cross-country dataset with values for GDP (yi) and investment in research &...
Suppose you have a cross-country dataset with values for GDP
(yi) and investment in research & development (xi). Describe
the method of ordinary least squares (OLS) to estimate the
following univariate linear regression model, i.e.
yi = β0 + β1 xi + εi
In particular, describe in your words which are the dependent
and the explanatory variables; how the OLS estimation method works;
how to interpret the estimates for the coefficients β0 and β1; what
is the coefficient of determination...
For a set of data, x is the explanatory variable. Its mean is 8.2, and its...
For a set of data, x is the explanatory variable. Its mean is
8.2, and its standard deviation is 1.92.
For the same set of data, y is the response variable. Its mean is
13.8, and its standard deviation is 3.03.
The correlation was found to be 0.223.
Select the correct slope and y-intercept for the
least-squares line.
Slope = -0.35
y-intercept = -10.9
Slope = -0.35
y-intercept = 10.9
Slope = 0.35
y-intercept = -10.9
Slope = 0.35
y-intercept...
Refer to the data below. Suppose X is the independent variable and Y is the dependent...
Refer to the data below. Suppose X is the independent variable
and Y is the dependent variable. Calculate the variance of X,
variance of Y, standard deviation of X, standard deviation of Y,
the covariance between X and Y, the correlation coefficient between
X and Y, the slope of the regression line, the Y intercept of the
regression, ESS, RSS, TSS, and R-square of the regression line.
Predict the value of Y when X=25. Show your work by constructing
the...
Below shows a sample of 5 pairs of data: x y 5 3 1 4 3...
Below shows a sample of 5 pairs of data:
x
y
5
3
1
4
3
5
8
6
3
1
The following are some summaries of the data:
∑ni=1xi=20,∑ni=1yi=19,∑ni=1(xi−x¯)=0,∑ni=1(yi−y¯)=0,∑i=1nxi=20,∑i=1nyi=19,∑i=1n(xi−x¯)=0,∑i=1n(yi−y¯)=0,
∑ni=1(xi−x¯)2=28,∑ni=1(yi−y¯)2=14.8,∑ni=1(xi−x¯)(yi−y¯)=9.∑i=1n(xi−x¯)2=28,∑i=1n(yi−y¯)2=14.8,∑i=1n(xi−x¯)(yi−y¯)=9.
Calculate the regression line. Provide an interpretation of the
intercept and slope coefficient. Round your answer to 4
decimal points.
Given the following data set, let x be the explanatory variable and y be the response...
Given the following data set, let x be the explanatory
variable and y be the response variable.
x
8
2
2
6
6
3
1
y
3
8
9
6
4
7
9
(a) If a least squares
line was fitted to this data, what percentage of the variation in
the y would be explained by the regression line? (Enter
your answer as a percent.)
ANSWER: %
(b) Compute the
correlation coefficient: r=
Given the following data set, let x be the explanatory variable and y be the response...
Given the following data set, let x be the explanatory variable
and y be the response variable. x 1 6 7 3 1 5 2 y 10 4 4 7 9 5 8
(a) If a least squares line was fitted to this data, what
percentage of the variation in the y would be explained by the
regression line? (Enter your answer as a percent.) ANSWER: % (b)
Compute the correlation coefficient: r=
Consider a binary response variable y and an explanatory variable x. The following table contains the...
Consider a binary response variable y and an
explanatory variable x. The following table contains the
parameter estimates of the linear probability model (LPM) and the
logit model, with the associated p-values shown in
parentheses.
Variable
LPM
Logit
Constant
−0.69
−6.30
(0.06
)
(0.06
)
x
0.06
0.21
(0.04
)
(0.06
)
a. Test for the significance of the intercept and
the slope coefficients at the 5% level in both models.
b. What is the predicted probability implied by
the...
A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and...
A regression and correlation analysis resulted in the following
information regarding a dependent variable (y) and an
independent variable (x).
Σx = 90
Σ(y - )(x - ) = 466
Σy = 170
Σ(x - )2 = 234
n = 10
Σ(y - )2 = 1434
SSE = 505.98
The least squares estimate of the intercept or
b0 equals
Question 18 options:
a)
-1.991.
b)
.923.
c)
-.923.
d)
1.991.
1）The following information regarding a dependent variable y and an independent variable x is provided. Σx...
1）The following information regarding a dependent variable y and
an independent variable x is provided.
Σx = 90
Σy = 340
n = 4
SSR = 101
Additionally, the SSE is equal to 1,872. Find the standard error
of the estimate.
A 7.1063
B 21.6333
C 30.5941
D 44.4185
2）
Consider the data.
Compute the standard error of the estimate.
xi 3 12 6 20 14
yi 60 40 45 5 15
Linearize the following equations assuming that x is the independent variable and y is the dependent...
Linearize the following equations assuming that x is the
independent variable and y is the dependent variable. Specify G(y),
F(x), and solve for the constants a and c in terms of slope m and
y-intercept b.
y = ax^7 - cx^5 - 3
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 13 minutes ago
asked 18 minutes ago
asked 20 minutes ago
asked 23 minutes ago
asked 32 minutes ago
asked 34 minutes ago
asked 34 minutes ago
asked 40 minutes ago
asked 47 minutes ago
asked 48 minutes ago
asked 50 minutes ago
asked 1 hour ago