Test 3 Practice Test Hall and the a \"bystander of the Virginia oundation, and t
ID: 3172101 • Letter: T
Question
Test 3 Practice Test Hall and the a "bystander of the Virginia oundation, and the Centers for For interest is so use the emeoliment of the college or A sample random sample of 46 colleges or universities was selected of the scamerplet below. and in to the reported number er dating violence cases. This data is displayed predier paragraph above de searermlot, which of the following is a correct C ccording to the scatterplot and the is a lurking (B) Enrollment is the dependent variable. (C) Number dating violence cases is the explanatory variable. (D) Number of dating violence cases is the (E) Enrollment is the response variable. 2. The regression line that gives the linear relationship between enrollment and reported number of dating violence cases is predicted number ofdating cases 6.393822 0.001061 (enrollment). Draw this regression line on the scatterplot above question 1. 3. The largest public institution in the United States is Arizona State ity, which reported an enrollment of Universi 58,371 students and had 62 reported dating violence cases. You should be able to identify the point representing Arizona University on the above. Which of the following is Arizona State University an example of? 4 regression line that gives the linear relationship between enrollment and reported number of dating violence cases is predicted number of dating violence cases 6.393822 0.00106 (enrollment). Which of the following is the correct interpretation of the slope of this regression line? (A) If the enrollment is 0 people, the predicted number of dating violence cases is 6.393822 cases. (B) If the number of dating violence cases is 0, the predicted enrollment is 6.393822 people. 0.001061 people. (D) If the enrollment increases by 1 person, the predicted number of dating violence cases increases by 0.001061 cases. (E) If the enrollment increases by 1 person, the predicted number of dating violence cases increases by 6.393822 cases.Explanation / Answer
1. (C) - Number of dating violence cases is a response variable. (Already done)
2. Already plotted in as given in the attachment.
3 (A) Extrapolation - The value of Enrollment and Number of dating violence cases is very far from the other values. So it is extrapolation.
4 (D) By the definition of slope, if the enrollment increases by 1, the predicted number of dating violence cases increases by slope (0.001061) cases.
5 (A) If the enrolment is 0, the predicted number of dating violence cases = 6.393822 + (0.001061 * 0) = 6.393822
6 (D) Lurking variable - As the number of police officers per 1000 students may led to the association between the number of dating violence cases and enrollment.
7. As there is a strong linear relationship between enrollment and number dating violence cases , the correlation coefficient will be +1.
8 (C) The correlation coefficient is almost the same and is not affected by the sample size.
9. Number of dating violence cases = 2.41871 + (0.001757 * 21521) = 40.23111
10 (E) Residual is the difference between observed and predicted response variable.
11 (C) Coefficient of determination tells the percentage of variation of response variable explained by the regression model. So, enrollment of the colleges explain 54.46% of number of dating violence cases.
12. False, We cannot compute the correlation coefficient to numerically describe the relationship of categorical variables. We can use ANOVA for categorival variables.
13 (D) Since the conditional ditributions are similar, there is not an association between the location of the college and victim's sex. If the conitional distributions are different then it shows that there is an association between the location of the college and victim's sex.
14 (C) It is a case of Simpson's paradox as there are different trends seen in different groups of data.
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