10. A linear model is given for the data in the table: y = 1.25x+2. x...
10. A linear model is given for the data in the table: y = 1.25x+2.
| x | y |
|---|---|
| 2 | 3 |
| 3 | 4 |
| 4 | 7 |
| 8 | 12 |
| 10 | 16 |
| 16 | 22 |
| 20 | 28 |
| 24 | 30 |
What is the sum of the absolute deviations?
A. 7.75
B. 8.31
C. 11.46
D. 2.75
Homework Answers
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10. A linear model is given for the data in the table: y =
1.25x+2.
x...
QUESTION 20 In a simple linear regression model the data is given as X: 1, 2,...
QUESTION 20 In a simple linear regression model the data is given as X: 1, 2, 3, 4; Y: 7, 10, 9, 12. The estimated intercept is 6. The estimated slope is 1.4. The sum of residuals is 0 3.2 5 38
3. Use the data table below to answer the following questions: (a) The least absolute deviation line for the data i...
3. Use the data table below to answer the following questions: (a) The least absolute deviation line for the data in the table is y - 1.5x +17. What is the sum of the absolute deviations? (b) Find the median-median regression line for the data in the table. (c) Using the equations for the least absolute deviation line and the median-median regression line determine which model does a better job of predicting the y-value for x 11.* 21 20 38...
QUESTION 25 Given the linear model -8x + 7y = 9, what value of y is...
QUESTION 25 Given the linear model -8x + 7y = 9, what value of y is predicted when x=-4? Round to the nearest hundredth. QUESTION 26 : The following linear model is created: y = 5x+15. What is the predicted value of the dependent variable when the independent variable has a value of 1.4? QUESTION 27 The slope, to the nearest hundredth, of the line 4x + (-5)y = -3 is QUESTION 28 Given the linear model y = 2x...
Consider the following data on x and y shown in the table below, x 2 4 7 10 12 15 18 20 21 25 ...
Consider the following data on x and y shown in the table below, x 2 4 7 10 12 15 18 20 21 25 y 5 10 12 22 25 27 39 50 47 65 Fit the model E(y)=β0+β1x to the data, and plot the residuals versus x for the model on Minitab. Do you detect any trends? If so, what does the pattern suggest about the model?
10 pts The regression equation for the given data points is provided. Graph the regression equation...
10 pts The regression equation for the given data points is provided. Graph the regression equation and the data points. x 10 14 20 6 6 14 16 24 32 36 y 19 23 29 12 17 23 25 33 37 5 A = 9.3 +0.95% 40 30 20+ 10+ 4 8 12 16 20 24 28 32 36 40 %
You are projecting future sales and have constructed a linear model using historical sales data for...
You are projecting future sales and have constructed a linear model using historical sales data for each of the four quarters between years 2011 and 2014. Answer questions 24-28 using the information below Regression Statistics Multiple R Obs Quarter Year Sales Sales 1 1 2011 71 0.995 2 2 2011 49 R Square 0.990 90 3 3 2011 58 Adjusted R Square 0.986 80 4 4 2011 78 Standard Error 1561 70 1 2012 68 Observations 16 60 6 2...
Based on the data below, answer the following questions: (1). Fit a straight line Y-a+BX+e. (2). ...
Based on the data below, answer the following questions: (1). Fit a straight line Y-a+BX+e. (2). Construct an ANOVA table and comment on the goodness of your model. (3). What are R2 and s22 (4). Predict the Y-value when X=10 and comment on such a prediction. 14 15 15 18 20 4 Sum 28 1515 Sum Squares xiY 55
Based on the data below, answer the following questions: (1). Fit a straight line Y-a+BX+e. (2). Construct an ANOVA table and...
0 3 X Y 2 4 4 Given to the right are two linear equations and...
0 3 X Y 2 4 4 Given to the right are two linear equations and a set of data points a. Graph the linear equations and data points. b. Complete tables for X. y. y. e, and e? c. Determine which line fits the set of data points better, according to the least squares criterion Line Ay=-1+3x Line : y=1+2x a. Graph the linear equations and data points. Note that Line Ais dashed red and Line B is solid...
My last question has gone hours without being answered, so I am submitting these again. Anyone wh...
My last question has gone hours without being answered, so I
am submitting these again. Anyone who could help with these 10
questions would be MASSIVELY appreciated. Thank you!!
11. Find the y-intercept of the equation of the least-squares regression line for the dataset in the table. (1 poins x y 1 15 6 18 7 18 15 24 16 23 22 26 23 27 28 30 33 32 0.52 1.91 15.14 -23.91 12. For the data in the table,...
Q4.. [40 points] Consider the multiple linear regression model given by y - XB -+ s,...
Q4.. [40 points] Consider the multiple linear regression model given by y - XB -+ s, where y and e are vectors of size 8 × 1, X ls a matrix of size 8 x 3 and Disa vector of sze 3 × 1. Also, the following information are available e = 22 y -2 and XTy 3 1. [10 points) Estimate the regression coefficients in the model given above? 2. [4 points] Estimate the variance of the error term...
3. Use the data table below to answer the following questions: (a) The least absolute deviation line for the data in the table is y - 1.5x +17. What is the sum of the absolute deviations? (b) Find the median-median regression line for the data in the table. (c) Using the equations for the least absolute deviation line and the median-median regression line determine which model does a better job of predicting the y-value for x 11.* 21 20 38...
10 pts The regression equation for the given data points is provided. Graph the regression equation and the data points. x 10 14 20 6 6 14 16 24 32 36 y 19 23 29 12 17 23 25 33 37 5 A = 9.3 +0.95% 40 30 20+ 10+ 4 8 12 16 20 24 28 32 36 40 %
You are projecting future sales and have constructed a linear model using historical sales data for each of the four quarters between years 2011 and 2014. Answer questions 24-28 using the information below Regression Statistics Multiple R Obs Quarter Year Sales Sales 1 1 2011 71 0.995 2 2 2011 49 R Square 0.990 90 3 3 2011 58 Adjusted R Square 0.986 80 4 4 2011 78 Standard Error 1561 70 1 2012 68 Observations 16 60 6 2...
Based on the data below, answer the following questions: (1). Fit a straight line Y-a+BX+e. (2). Construct an ANOVA table and comment on the goodness of your model. (3). What are R2 and s22 (4). Predict the Y-value when X=10 and comment on such a prediction. 14 15 15 18 20 4 Sum 28 1515 Sum Squares xiY 55
Based on the data below, answer the following questions: (1). Fit a straight line Y-a+BX+e. (2). Construct an ANOVA table and...
0 3 X Y 2 4 4 Given to the right are two linear equations and a set of data points a. Graph the linear equations and data points. b. Complete tables for X. y. y. e, and e? c. Determine which line fits the set of data points better, according to the least squares criterion Line Ay=-1+3x Line : y=1+2x a. Graph the linear equations and data points. Note that Line Ais dashed red and Line B is solid...
My last question has gone hours without being answered, so I
am submitting these again. Anyone who could help with these 10
questions would be MASSIVELY appreciated. Thank you!!
11. Find the y-intercept of the equation of the least-squares regression line for the dataset in the table. (1 poins x y 1 15 6 18 7 18 15 24 16 23 22 26 23 27 28 30 33 32 0.52 1.91 15.14 -23.91 12. For the data in the table,...
Q4.. [40 points] Consider the multiple linear regression model given by y - XB -+ s, where y and e are vectors of size 8 × 1, X ls a matrix of size 8 x 3 and Disa vector of sze 3 × 1. Also, the following information are available e = 22 y -2 and XTy 3 1. [10 points) Estimate the regression coefficients in the model given above? 2. [4 points] Estimate the variance of the error term...
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