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(a) The least-squares line is that line which minimizes the sum of the residuals (b) If all the residuals equal zero, SST = SSR (c) If the value of the correlation coef cient is negative, this indicates that the variables are negatively correlated (d) The value of the correlation coef cient can be calculated given the value of r 2 alone (e) Outliers are in uential observations (f) If the residual for an outlier is positive, we may say that the observed y-value is higher than the regression estimated, given the x-value (g) An observation may be in uential even though it is neither an outlier nor a high leverage point (h) The best way of determining whether an observation is in uential is to see whether its Cook s distance exceeds 10.

In translating this database to the ERM, the graduate student and the department record types are mapped to two entity types with the same name The elds within these record types are mapped to attributes in the corresponding entity types The amount of money (Amt) that each department pays each speci c graduate student is kept with the relationship between the two entities (see Figure 1216b) The second database is a CODASYL (network) database (see Figure 1217a) This database contains information about classes that students take A student is either a graduate student or undergrad student The schema has three record types Student, Class, and Takes Both Student and Class own the Takes record type The Takes record type has only one eld (called Grade ), which records the grade that is given to a speci c student for a speci c class.

A avec(Y) ) ax' .

(i) If one is interested in using regression analysis in a strictly descriptive manner, with no inference and no model building, one need not worry quite so much about assumption validation (j) In a normality plot, if the distribution is normal, the bulk of the points should fall on a straight line (k) The chi-square distribution is left-skewed (l) Small p-values for the Anderson Darling test statistic indicate that the data are right-skewed (m) A funnel pattern in the plot of residuals versus ts indicates a violation of the independence assumption 22 Describe the difference between the estimated regression line and the true regression line 23 Calculate the estimated regression equation for the orienteering example using the data in Table 23 Use either the formulas or software of your choice 24 Where would a data point be situated which has the smallest possible leverage 25.

Calculate the values for leverage, standardized residual, and Cook s distance for the hard-core hiker example in the text 26 Calculate the values for leverage, standardized residual, and Cook s distance for the eleventh hiker who had hiked for 10 hours and traveled 23 kilometers Show that although it is neither an outlier nor of high leverage, it is nevertheless in uential 27 Match each of the following regression terms with its de nition..

This indicates a many-to-many association between student and class The equivalent schema for this database in the ERM contains two entity types One entity type is mapped from the Student record type and the other from the Class record type The Takes record type is mapped to a relationship type connecting the Student and Class entity types The Grade attribute type is contained within this relationship type (see Figure 1217b) The third database is a relational database and maintains information about the university s departments and departments faculty A faculty member works for only one department while a department can have one or more faculty members This represents a one-to-many association between the Faculty and the Department entity types.

Figure 20.1 shows the difference between the linear and logistic functions for P(Y = 1). The logistic function (as well as the probit function) is called a sigmoid, meaning S-shaped, curve. It should be clear that the right-hand side of Equation 20.4 can never fall outside the 0,1 range. The function approaches 0 as 0 + 1 X becomes increasingly negative, and approaches 1 as 0 + 1 X becomes increasingly positive, as shown in the gure. (For illustration purposes, it is assumed that 1 is positive.) In the linear speci cation for

Since a faculty member can only work for one department at a time, the primary key of the Department table is used as a foreign key of the Faculty table to show the association A faculty member also teaches one or more sections of one or more courses A speci c section of a course is keyed by the course name and a section number, requiring the combination of the columns CName and Sec# to be included.