If the coefficient of determination is a positive value, thenthe regression equation a) must have a...
#1 In simple linear regression, r is the: a) coefficient of determination. b) mean square error. c) correlation coefficient. d) squared residual. #2 In regression analysis, with the model in the form y = β0 + β1x + ε, x is the a) estimated regression equation. b) y-intercept. c) slope. d) independent variable. #3 A regression analysis between sales (y in $1,000s) and advertising (x in dollars) resulted in the following equation. ŷ = 40,000 + 3x The above equation...
58. The equation of a regression line is Y = 20 +5X where X = hours studied and Y = exam score. Interpret the slope. a) As study time increases by 5 hours, exam score increases by 20 points on average. b) As study time increases by 1 hour exam score increases by 5 points on average. c) As study time increases by 5 hour exam score increases by 1 point on average. d) We expect a student who does...
A)What is the value of the correlation coefficient?
B)What is the value of the coefficient of determination?
C)When finding the least-squares regression for this line, what
is the slope?
D)When finding the least-squares regression for this line, what
is the y-intercept?
E)Give the equation for the least-squares regression line.
F)Interpret the slope for this equation.
G)Is it reasonable to give an interpretation of your
y-intercept? If yes, please give one. If not, explain why.
A movie theater decides to examine...
1) Discuss how the coefficient of correlation and coefficient of determination apply to analyzing the relationship in a business analysis. 2)Discuss each of the components in the regression equation: Y prime, intercept, slope, and the independent variable x, as they relate to making business predictions. Need detail answer to the question
In the regression equation, what does a denote? a. Score on the variable x b. Value of the slope of the line c. Variable to be predicted d. Intercept with the y-axis In a regression equation, if the y intercept = 0, then where does the line of best fit intercept the y axis? a. The line of best fit intercepts the origin. b. The line of best fit intercepts the Y-axis above the Y-axis. c. The line of best...
Which of the following statements are not correct? The
coefficient of determination, denoted by r^2 is interpreted as the
proportion of observed y variation that cannot be explained by the
simple linear regression model. The higher the value of the
coefficient of determination, the more successful is the simple
linear regression model in explaining y variation. If the
coefficient of determination is small, an analyst will usually want
to search for an alternative model (either a nonlinear model or a...
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|...
Describe how you evaluate a multiple regression equation (ANOVA, multiple standard error of the estimate, coefficient of multiple determination, adjusted coefficient of determination.
) Interpret the value of the slope (rounded to two decimal places) in the regression equation found in part 1c in the context of the question, using a complete sentence. 1f) State and interpret the value of the coefficient of determination (R-sq expressed as a percentage) found in part 1c in the context of the question in a complete sentence. 1g) Use the regression equation (with both intercept and slope rounded to two decimal places) to predict the final selling...
If the cost equation yields a coefficient of determination of 77%, it means that the: a. dependent variable explains 23% of the variability in cost. b. dependent variable explains 77% of the variability in cost. c. independent variable explants 23% of the variability in cost. d. independent variable explains 77% of the variability in cost. The percentage of variability in the dependent variable explained by an independent variable is called the: a. coefficient of correlation. b. coefficient of regression. C....