2. (Based on Stock & Watson "Introduction to Econometrics 6th ed., Exercise 4.5.) A professor decides to run an experiment to measure the effect of time pressure on final exam scores. He...
professor decides to run an experiment to measure the effect of time pressure on final exam scores. He gives each of the 400 students in her course the same final exam, but some students have 90 minutes to complete the exam, while others have 120 minutes. Each student is randomly assigned one of the examination times, based on the flip of a coin. Let Y; denote the number of points scored on the exam by the ith student (0 <Y;...
(Based on Stock & Watson "Introduction to Econometrics" 6th ed., Exercise 5.8.) Suppose that \(\left(Y_{i}, X_{i}\right)\) satisfy the simple linear regression assumptions. In addition, \(u_{i}\) is \(N\left(0, \sigma_{u}^{2}\right)\) and is independent of \(X_{i}\). A sample of size \(n=30\) yields$$ \hat{Y}_{i}=43.2+61.5 X_{i}, n=30, R^{2}=0.54 . $$$$ (10.2)(7.4) $$(a) Construct a \(95 \%\) confidence in(a) Construct a \(95 \%\) confidence interval for \(\beta_{0}\).(b) Test \(H_{0}: \beta_{1}=55\) v.s. \(H_{1}: \beta_{1} \neq 55\) at the significance level \(5 \%\).(c) Test \(H_{0}: \beta_{1}=55\) v.s. \(H_{1}:...
1. (Based on Stock & Watson “Introduction to Econometrics” 6th ed., Exercise 4.1 and 5.1.) Suppose that a researcher, using data on class size (CS) and average test scores from 100 third-grade classes, estimate the simple linear regression: TestScore d = 520.4−5.82 × CS, n = 100, R^2 = 0.08. (20.4) (2.21) (d) Name one factor in the error term and discuss its correlation with class size and average test score. (e) Construct 95% and 90% confidence intervals for β1....
Instructor Chain L Course: EC0 4000 Spring 201 Assignment FlPa the effect of ime pressure on final exam soores He gives each of the 400 ane fnal exam but some stuterts have 90 minules to complete the others ave 120 the number of 200, and consider mo regresuon model exwn (X'-90 or of the kutowing are tve about the unobservable u,? (Check ai hat apply etudents w necessarily have the same value of u, because they are part of the...
Professor Gill has taught General Psychology for many years. During the semester, she gives three multiple-choice exams, each worth 100 points. At the end of the course, Dr Gil gives a comprehensive alworth 200 poset, and represent students scores on exams 1, 2, and respectively. Let X represent the student's score on the final exam. Last semester De Gil had 25 students in her cess. The student exam scores are shows below 73 75 152 93 185 91 90 180...