With regard to regression, which of the following statements about outliers are true? I. Outliers have large residuals. II. A point may not be an INFLUENTIALoutlier even though its x-value is an outlier in the x-variable and its y-value is an outlier in the y-variable. III. Removal of an outlier sharply affects the regression line. II and III I, II, and III I and II I and III I only ( don't hand writing solution)

With regard to regression, which of the following statements about outliers are true? I. Outliers have large residuals. II. A point may not be an INFLUENTIALoutlier even though its x-value is an outlier in the x-variable and its y-value is an outlier in the y-variable. III. Removal of an outlier sharply affects the regression line. II and III I, II, and III I and II I and III I only ( don't hand writing solution)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?
Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
In the above plot, a rejection of the null hypothesis that the population regression slope is equal to 0 implies: a) the correlation coefficient in the population is likely equal to 0 b) the correlation coefficient in the population is likely unequal to 0 c) the standard deviation of height is likely very large d) the standard deviation of weightis likely very small e) the correlation coefficient must be close to 1.0 f) a and c g) b and e h) b, d and e
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Which of the following are correct statements for linear regression? 1. If the scatter plot of the residual and the predicted response of a linear regression model shows a relationship between the two, then the model is good. 2. Linear regression is not sensitive to outliers. 3. LASSO could be used for variable selection. 4. If the Pearson's correlation coefficient between feature X1 and response Y is small, then there is weak evidence of correlation between X1 and Y. 5. If one uses a large penalty in ridge regression, then the bias in the model is high. 6. If the training data size is increased, then the bian and variance of the model increase. 7. One can use a maximum likelihood estimator in the case of linear regression under the assumption that the errors are independent and identically distributed.
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For the residual plot of the residuals versus predicted values from a multiple regression analysis given below, which of the following statements is(are) true? Attached image is the residual plot of the residuals versus predicted values. Choose the correct answer below. A.)The condition that a linear relationship exists between the response and each explanatory variable may not be met since the spread in the residuals is larger for larger predicted values than for smaller predicted values. B.)The condition that the residuals have constant variation may not be met since the spread in the residuals is larger for larger predicted values than for smaller predicted values. C.)The condition that the residuals are normally distributed may not be met since the spread in the residuals is larger for larger predicted values than for smaller predicted values. D).None of the above
1) Indicate whether the following statements are true or false. Explain why and show your work. c) In the regression Y= B1+ B2X + B3Z+u , if there is a strong linear correlation between X and Z, then it is more likely you fail to reject the null hypotheses that individual slope parameters are insignificant.
A sociologist is interested in the relation between ?,the number of job changes and ?, the annual salary(in thousands of dollars) for people living in theNashville area. A random sample of 10 peopleemployed in Nashville provided the followinginformation:? 4 7 5 6 1 5 9 10 10 3? 33 37 34 32 32 38 43 37 40 33 What does the slope of the regression equationrepresent in terms of the annual salary? Identify any outliers or potential influentialobservations. Explain your reasoning. Identify the predictor and response variables. r2 = r= Interpret the meaning of r2 and how useful theregression equation is for making predictions. Please explain what kind of problem this is and how to solve it using a Ti83 calculator. Thank you