which of the following is used to obtain the simple regression line? a. scatter diagram b....
which of the following is used to obtain the simple regression line?
a. scatter diagram
b. correlation of coefficient
c. coefficient of determination
d. least-squares method
Homework Answers
The correct option is a. scatter diagram
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which of the following is used to obtain the simple regression
line?
a. scatter diagram
b....
6.If all the points in a scatter diagram lie on the least squares regression line, then...
6.If all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be: 1.0 -1.0 either 1.0 or -1.0 0.0 b. A regression analysis between sales (in $1,000) and advertising (in $1,000) resulted in the following least square line: ý = 80 + 5x. This implies that: as advertising increases by $1,000, sales increases by $5,000. as advertising increases by $1,000, sales increases by $80,000. as advertising increases by $5, sales...
Match the coefficient of determination to the scatter diagram. The scales on the X-axis and y-axis...
Match the coefficient of determination to the scatter diagram. The scales on the X-axis and y-axis are the same for each scatter diagram (a) R2 = 1. (b) R2 = 0.94, (c) R2 = 0.62 Response (a) Scatter diagram Explanatory (b) Scatter diagram Response (c) Scatter diagram Explanatory Response Explanatory Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.807 and the least squares regression line...
3. A procedure used to estimate the regression parameters ?? and Ais to find the linef=A+Ax...
3. A procedure used to estimate the regression parameters ?? and Ais to find the linef=A+Ax which minimizes the sum of the squared distances of the data points from this line. A. Best-squares method B. Regression analysis method C. Coefficient of determination method D. Least-squares method 4. Suppose that the least-squares line is 73.3 0.497x and the residual is e 9.22 for the observation y80. What was value of the predictor x for this observation? A. -32.03 B. -5.07 C....
Given the least squares regression line = -2.88 + 1.77x, and a coefficient of determination of 0.81, the coefficient of correlation is:
Given the least squares regression line = -2.88 + 1.77x, and a coefficient of determination of 0.81, the coefficient of correlation is: A) -0.88 B) +0.88 C) +0.90 D) –0.90
In simple regression analysis the quantity that gives the amount by which...
17. In simple regression analysis the quantity that gives the amount by which Y (dependent variable) changes for a unit change in X (independent variable) is called theA. Coefficient of determinationB. Slope of the regression lineC. Y intercept of the regression lineD. Correlation coefficientE. Standard error18. A simple regression analysis with 20 observations would yield ________ degrees of freedom error and _________ degrees of freedom total.A. 1, 20B. 18,19C. 19, 20D. 1, 19E. 18, 2019. The correlation coefficient may assume...
a) Obtain the equation of the least squares line. b) Calculate the coefficient of determination. c)...
a) Obtain the equation of the least squares line.
b) Calculate the coefficient of determination.
c) Calculate an estimate of the error standard deviation
(sigma) in the simple linear regression model.
Your T For the past decade, rubber powder has been used In asphalt cement to improve performance. An article Includes a (MPa) on x - cube strength (MPa) based on the following sample data regression of y-axial strength x112.3 97.0 92.7 86.0 102.0 99.2 95.8 103.5 89.0 86.7 y|...
I have to submit a term paper which involves conducting a regression and correlation analysis on ...
I have to submit a term paper which involves conducting a regression and correlation analysis on any topic of my choosing. The paper must be based on yearly data for any economic or business variable, for a period of at least 20 years. The following also must be included in the paper: • The term paper should distinguish between dependent and independent variables; determine the regression equation by the least squares method; plot the regression line on a scatter diagram;...
For the data set below, (a) Determine the least-squares regression line. (b) Graph the least-squares regression...
For the data set below, (a) Determine the least-squares regression line. (b) Graph the least-squares regression line on the scatter diagram. 6 7 y 7 10 8 14 17 (a) Determine the least-squares regression line. (Round to four decimal places as needed.)
For the data set below (a) Determine the least-squares regression line. (b) Graph the least-squares regression...
For the data set below (a) Determine the least-squares regression line. (b) Graph the least-squares regression line on the scatter diagram. x 4 5 6 7 9 y 710 8 14 17 (a) Determine the least-squares regression line. (Round to four decimal places as needed.)
A data set is given below. (a) Draw a scatter diagram. Comment on the type of...
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y (b) Given that x = 3.5000, -2.3452, y = 4.2000, - 1.6625, and r = -0.9387, determine the least squares regression line. (c) Graph the least squares regression line on the scatter diagram drawn in part(a) 0 2 3 4 6 6 5.8 5.8 5.3 3.7 22 2.4 (a) Choose the correct graph below. There...
Match the coefficient of determination to the scatter diagram. The scales on the X-axis and y-axis are the same for each scatter diagram (a) R2 = 1. (b) R2 = 0.94, (c) R2 = 0.62 Response (a) Scatter diagram Explanatory (b) Scatter diagram Response (c) Scatter diagram Explanatory Response Explanatory Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is 0.807 and the least squares regression line...
3. A procedure used to estimate the regression parameters ?? and Ais to find the linef=A+Ax which minimizes the sum of the squared distances of the data points from this line. A. Best-squares method B. Regression analysis method C. Coefficient of determination method D. Least-squares method 4. Suppose that the least-squares line is 73.3 0.497x and the residual is e 9.22 for the observation y80. What was value of the predictor x for this observation? A. -32.03 B. -5.07 C....
a) Obtain the equation of the least squares line.
b) Calculate the coefficient of determination.
c) Calculate an estimate of the error standard deviation
(sigma) in the simple linear regression model.
Your T For the past decade, rubber powder has been used In asphalt cement to improve performance. An article Includes a (MPa) on x - cube strength (MPa) based on the following sample data regression of y-axial strength x112.3 97.0 92.7 86.0 102.0 99.2 95.8 103.5 89.0 86.7 y|...
For the data set below, (a) Determine the least-squares regression line. (b) Graph the least-squares regression line on the scatter diagram. 6 7 y 7 10 8 14 17 (a) Determine the least-squares regression line. (Round to four decimal places as needed.)
For the data set below (a) Determine the least-squares regression line. (b) Graph the least-squares regression line on the scatter diagram. x 4 5 6 7 9 y 710 8 14 17 (a) Determine the least-squares regression line. (Round to four decimal places as needed.)
A data set is given below. (a) Draw a scatter diagram. Comment on the type of relation that appears to exist between x and y (b) Given that x = 3.5000, -2.3452, y = 4.2000, - 1.6625, and r = -0.9387, determine the least squares regression line. (c) Graph the least squares regression line on the scatter diagram drawn in part(a) 0 2 3 4 6 6 5.8 5.8 5.3 3.7 22 2.4 (a) Choose the correct graph below. There...
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