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In: Statistics and Probability
Data were collected on two variable x, and y and a least-square regression line were fitted...
Data were collected on two variable x, and y and a least-square regression line were fitted to the data. The resulting regression equation is
^y= 2.29-1.70x.
a. interpretation for the slope
b. calculate the residual for the point (5,6)
c. if the correlation between x and y is r= -0.32, what percentage of the variation in y is explained by the least-squares regression line based on x?
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orchestra answered 1 year agoRelated Solutions
Find the 'least square linear regression line' for the following cases: (x,y)coordinates (-1,0), (0,2), (1,4), (2,5)...
Find the 'least square linear regression line' for the following
cases:
(x,y)coordinates (-1,0), (0,2), (1,4), (2,5)
(However, use the gradient descent method and use cost function
to get it)
(Explain the changing process of cost functuon, gradient, and
intercept together)
The following data for the dependent variable, y, and the independent variable, x, have been collected...
The following data for the dependent variable, y, and the
independent variable, x, have been collected using simple random
sampling:
X
Y
10
120
14
130
16
170
12
150
20
200
18
180
16
190
14
150
16
160
18
200
Construct a scatter plot for these data. Based on the scatter
plot, how would you describe the relationship between the two
variables?
Compute the correlation coefficient.
1. The coefficients of the least squares regression line, Y = M*X + B, are determined...
1. The coefficients of the least squares
regression line, Y = M*X + B, are determined by minimizing the sum
of the squares of the
a) x‐coordinates.
b) y‐coordinates.
c) residuals
-----------------------
2 . Which of the following statements are true
about overfitting and underfitting?
a) Models that do not do well on training or test data are said
to underfit the data.
b) They lack enough independent variables to predict the
response variable.
c) A model’s generalization ability refers...
1.)The data were fitted to the following multiple linear regression model y=Bo+B1X1+B2X2 The standard error for...
1.)The data were fitted to the following multiple linear
regression model
y=Bo+B1X1+B2X2
The standard error for the coefficient B1 is equal to (keep two
decimal places)
2.) For 99% confidence interval for the
coefficient B2 is approximately
3.)What is the mean radiations when the current is 15 milliamps
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A) A sample of 13 observations collected in a regression study on two variables, x(independent variable)...
A) A sample of 13 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=14, summation
(x_i-xbar)(y_i-ybar)=72, xbar=3, ybar=10
Calculate the y-intercept (b_0) of the estimated regression
equation.
B) A sample of 9 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=14, summation
(x_i-xbar)(y_i-ybar)=79, xbar=3, ybar=10
Calculate the slope of the estimated regression equation.
a) A sample of 8 observations collected in a regression study on two variables, x(independent variable)...
a) A sample of 8 observations collected in a regression study on
two variables, x(independent variable) and y(dependent variable).
The sample resulted in the following data.
SSR=66, SST=86
Calculate an unbiased estimate of the variance
of the error term epsilon.
b) 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.
SSE=22, SSR=64
Calculate the coefficient of determination for the developed
estimated regression equation.
c)...
If the R-square of the simple regression of Y on X is 0.5, then the hypothesis...
If the R-square of the simple regression of Y on X is 0.5, then
the hypothesis that X doesnot have statistically significant effect
on Y …… at the 5% level of significance.
might be accepted or rejected
is accepted
is rejected
can not be tested
Given below are seven observations collected in a regression study on two variables, x (independent variable)...
Given below are seven observations collected in a regression
study on two variables, x (independent variable) and y (dependent
variable)
X
Y
2
12
3
9
6
8
7
7
8
6
7
5
9
2
a. develop the least squares estimated regression equation
b. At 95% confidence, perform a t test
and determine whether or not the slope is significantly different
from 0
c.Compute the coefficient of determination
d. Develop the 95% confidence interval for the mean value of...
Given below are seven observations collected in a regression study on two variables, X (independent variable)...
Given below are seven observations collected in a regression
study on two variables, X (independent variable) and Y (dependent
variable).
X
Y
2
12
3
9
6
8
7
7
8
6
7
5
9
2
a. Develop the least squares estimated regression equation.
b. State the hypotheses to test for the significance of the
regression line.
c. Perform an F test to determine whether or not the model is
significant. Let α = 0.05.
Given below are seven observations collected in a regression study on two variables, x (independent variable)...
Given below are seven observations collected in a regression
study on two variables, x (independent variable) and y (dependent
variable). x y 2 12 3 9 6 8 7 7 8 6 7 5 9 2 Given the followings b1
= -1.13 SSR = 50.625 SSE= 9.376 Sb1 = .2165 a. At 95% confidence,
perform a t test and determine whether or not the slope is
significantly different from zero. (No excel please show steps
thank you)
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