Describe the unexplained variation about a regressionline in words and in symbols.yIX(x₂, Yj) •(,,)))(x, y)y = yXCChoose the correct answer below.O A. The unexplained variation is the sum ofthe squares of the differences betweenthe y-values of each ordered pair and themean of the y-values of the orderedpairs.B. The unexplained variation is the sum ofthe squares of the differences betweenthe observed y-values and thepredicted y-values.C. The unexplained variation is the sum ofthe squares of the differences betweenthe predicted y-values and the mean ofthe y-values of the ordered pairs.The unexplained variation in symbols can bedescribed by the expression

In this case, we need to identify the suitable answer for the given statement.

Answered: Describe the unexplained variation…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The equation of the least-squares regression line is ý = 68.5 + 11.4x, where ý is the number of students enrolled and x is number of years the school has been The number of students enrolled at a school varies from year to year. For the first eight years the school is open, the number of students enrolled is recorded in the table shown. open. Which shows the residual plot? Students 92 Year 2. 94 100 104 80 4 60 113 131 40 7. 8. 147 176 20 -20 0. 2. 4. 8. Number of Years 3. 56
K a. Using the pairs of values for all 10 points, find the equation of the regression line. b. After removing the point with coordinates (2,2), use the pairs of values for the remaining 9 points and find the equation of the regression line. c. Compare the results from parts (a) and (b). FICEERD a. What is the equation of the regression line for all 10 points? y=+x (Round to three decimal places as needed.) X 10- 8- 6- 4 2- 10- 0 2 4 6 8 10
What is the interpretation of the intercept regression coefficient in a regression model? A. The change in X for a unit increase of Y B. The change in Y for a unit increase of X C. The estimated value of the dependent variable when X takes the value 1 D. The estimated value of the dependent variable when X takes the value 0
H. Use the model to predict sales when the business spends $885 ($'000) in the advertisement. Does the model underestimate or overestimate sales? G. What is the value of the coefficient of determination, R2? What does R2 tell us about explained variation in y? (Refer to Coefficient of Determination LO 12-4). H. Use the model to predict sales when the business spends $885 ($'000) in the advertisement. Does the model underestimate or overestimate sales?
In order for applicants to work for the foreign-service department, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that applicants have studied a particular language and the grades they received on the proficiency exam. Find the equation of the regression line for the given data. Number of years, x 4 4 3 6 2 7 3 Grades on test, y 61 68 75 82 73 90 58 93 72 滷 O A. =6.910x+46.261 O B. y = 46.261x+6.910 OC. v=6.910x-46.261 OD. O D. y = 46.261x -6.910 Fi St 5e Assig
A researcher that there is a linear association between the level of potassium content (y) in milligrams and the amount of fiber (x) in grams in cereal. The regression line for the data is computed to y=37+28x rate. It was also computed that r=.59 A. What does the value . 59 tell you? B. What does the value 37 tell you? C. What does the value 28 tell you ? 2. For the line in question 1 what percentage of variability in potassium can be explained by variability in fiber?
The table shows the numbers of new-vehicle sales (in thousands) in the United States for Company A and Company B for 10 years. The equation of the regression line is y = 0.991x + 1,222.81. Complete parts (a) and (b) below. D New-vehicle sales (Company A), x New-vehicle sales (Company B), y 4,149 3,923 3,566 3,400 3,266 3,076 2,868 2,485 1,952 2,066 4,912 4,871 4,827 4,721 4,672 4,474 4,684 3,822 2,956 2,754 (a) Find the coefficient of determination and interpret the result. 12²=0 (Round to three decimal places as needed.) 1
a. Using the pairs of values for all 10 points, find the equation of the regression line. b. After removing the point with coordinates (2,3), use the pairs of values for the remaining 9 points and find the equation of the regression line. c. Compare the results from parts (a) and (b).
A doctor wished to determine whether a relation exists between the height of a female and her weight. She obtained the heights and weights of 9 females aged 18 to 24. Let height be the independent variable x, measured in inches, and weight be the dependent variable y, measured in pounds. 10. X 60 61 62 64 65 65 67 68 68 100 105 110 112 115 120 124 130 137 a) Use the regression capabilities of your graphing utility to find the equation of the line that best fits the data. Round to three decimal places. b) Use your equation to predict the weight of a woman whose height is 72 inches.

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