Standardized Residual(a) Develop the estimated regression equation for these data. (Round your numerical values to two decimal places.)ŷ =xi 1 2 3 4(b) Plot the standardized residuals versus ý.Y₁ 7 11234-11 7502468 10 12 14 16 18 20ŷ59 15 18(c) Compute the studentized deleted residuals for these data. (Round your answers to two decimal places.)Studentizedx; Yi Deleted Residual11915Do there appear to be any outliers in these data? Explain.The value of the standardized residual for no observations ✓ ✓ is either greater than +2 or less than -2. Therefore, there are no outliers18Standardized Residual-102468 10 12 14 16 18 20ŷStandardized Residual-102 4 6 8 10 12 14 16 18 20ŷO@✓Standardized Residual-1-202468 10 12 14 16 18 20ŷⓇ At the 0.05 level of significance, can any of these observations be classified as an outlier? Explain. (Select all that apply.)Observation x; = 1 can be classified as an outlier since it has a large studentized deleted residual (greater than £0.025 or less than -0.025).Observation x; = 2 can be classified as an outlier since it has a large studentized deleted residual (greater than £0.025 or less than -0.025).Observation x; = 3 can be classified as an outlier since it has a large studentized deleted residual (greater than to.025 or less than -0.025).Observation x; = 4 can be classified as an outlier since it has a large studentized deleted residual (greater than to.025 or less than -0.025).| Observation x; = 5 can be classified as an outlier since it has a large studentized deleted residual (greater than to.025 or less than -t0.025).None of the observations can be classified as outliers since they do not have large studentized deleted residuals (greater than to.025 or less than-0.025).U>

Given data: x y 1 7 2 11 3 9 4 15 5 18

Answered: x₁12 3 Y₁ 7 11 9 15 18 (a) Develop the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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x = number of traffic tickets y = Cost of auto insurance A test of linear correlation between traffic tickets and insurance cost produces a linear correlation coefficient of r = 0.705. Determine weather the regression line has a positive slope, or a negative slope
Zagat restaurant guides publish ratings of restaurants for many large cities around the world. The restaurants are rated on a 0 to 30 point scale based on quality of food, decor, service, and cost. Suppose that someone wants to predict the cost of dinner at a restaurant in a city based on the Zagat food quality ratings. If 10 restaurants in a city are sampled and the regression output is given below, what can we conclude about the slope of food quality? Since we are not given the dataset, we do not have enough information to determine if the slope differs from 0. 2) The slope is 2.521 and therefore differs from 0. 3) The slope significantly differs from 0. 4) Not enough evidence was found to conclude the slope differs significantly from 0. 5) The slope is equal to 0.
Define Residuals or errors in Alternative Regression Models?
Why this type of plot is used in analysing regression models
The money raised and spent (both in millions of dollars) by all congressional campaigns for 8 recent 2-year periods are shown in the table. The equation of the regression line is y = 0.942x +27.609. Find the standard error of estimate s, and interpret the result. 793.9 1042.3 957.7 1203.3 450.7 673.7 745.1 778.6 Money raised, x Money spent, y 734.8 1024.2 929.1 1160.6 448.6 697.9 735.7 751.2 Find the standard error of estimate s, and interpret the result. (Round to three decimal places as needed.) How can the standard error of estimate be interpreted? O A. The standard error of estimate of the money raised for a specific amount of money spent is about s, million dollars. O B. The standard error of estimate of the money spent for a specific amount of money raised is about s, million dollars.
Consider the accompanying data set of dependent and independent variables a. Perform a general stopwise regression using a 0.05 for the p-value to enter and to remove independent variables from the regression model b. Perform a residual analysis for the model developed in part a to verify that the regression conditions are met Click the icon to view the data a. Use technology to perform the general stepwise regression What is the resulting regression equation? Note that the coefficient is 0 for any variable that was removed or not significant -0.69 (050), (050)+(018) - X (Round to two decimal places as needed) • Data Table: y 63 43 51 49 40 42 23 37 30 27 20 31 FR 74 63 78 3534 52 44 47 35 17 15 20 17 Print X₂ 21 259. 15 9 38 18 17 5 40 27 30 33 x₂ 22 aadosa 2NNG 29 20 17 13 17 8 15 10 10 Done 1
In a fisheries researchers experiment the correlation between the number of eggs in tge nest and the number of viable (surviving ) eggs for a sample of nests is r=0.67 the equation of the regression line for number of viable eggs y versus number of eggs in the nest x is y =0.72x + 17.07 for a nest with 140 eggs what is the predicted number of viable eggs ?
An automobile rental company wants to predict the yearly maintenance expense (Y) for an automobile using the number of miles driven during the year () and the age of the car (, in years) at the beginning of the year. The company has gathered the data on 10 automobiles and run a regression analysis with the results shown below:. Summary measures Multiple R 0.9689 R-Square 0.9387 Adj R-Square 0.9212 StErr of Estimate 72.218 Regression coefficients Coefficient Std Err t-value p-value Constant 33.796 48.181 0.7014 0.5057 Miles Driven 0.0549 0.0191 2.8666 0.0241 Age of car 21.467 20.573 1.0434 0.3314 Use the information above to estimate the annual maintenance expense for a 10 years old car with 60,000 miles.
The table below shows (lifetime) peptic ulcer rates (per 100 population), UU, for various family incomes, xx, as reported by the 1989 National Health Interview Survey. Income 4000 6000 8000 12000 16000 20000 30000 45000 60000 Ulcer rate 14.1 13.1 13.8 12.6 11.8 11.7 11.5 9.3 7.6 (a) Find the equation of the regression line. Ulcer rate, U(x)= . (b) Estimate the peptic ulcer rate for an income level of x0= 25000 according to the linear model in part (a). Ulcer rate, U(x0)= .
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