Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Textbook Question
Chapter 12.2, Problem 14E
Refer to the lank temperature-efficiency ratio data given in Exercise 1.
- a. Determine the equation of the estimated regression line.
- b. Calculate a point estimate for true average efficiency ratio when tank temperature is 182.
- c. Calculate the values of the residuals from the least squares line for the four observations for which temperature is 182. Why do they not all have the same sign?
- d. What proportion of the observed variation in efficiency ratio can be attributed to the simple linear regression relationship between the two variables?
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A linear relationship between EmployeeSalary (Dependent) and degree(independent) has the
following equation : Salary = 400+0.2 (Degree). SST= 736, SSR= 385. Calculate and interpret the
coefficient of determination (r2) :
Select one:
O a. 0.48 , 47.69 percent of the variability in employee salary can be explained by the simple linear
regression equation
Ob. 0.52,52.31 percent of the variability in employee salary can be explained by the simple linear
regression equation
Oc. 0.48, 47.69 percent of the variability in the degree earned can be explained by the simple linear
regression equation
Od. 0.52, 52.31 percent of the variability in the degree earned can be explained by the simple linear
regression equation
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JUN
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Is the number of calories in a beer related to the number of carbohydrates and/or the percentage of alcohol in the beer? The accompanying table has data for 35 beers. The values for three variables are included: the number of calories per 12ounces, the alcohol percentage, and the number of carbohydrates (in grams) per 12 ounces.
a.
Perform a multiple linear regression analysis, using calories as the dependent variable and percentage alcohol and number of carbohydrates as the independent variables.
Let
X1
represent alcohol percentage and let
X2
represent the number of carbohydrates.
(Round to four decimal places as needed.)
Chapter 12 Solutions
Probability and Statistics for Engineering and the Sciences
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