To examine whether there is any association between the performances on the two sests, T1 and T2 (test T1 was conducted before T2), and whether T2 scores could be predicted in terms of T1 scores. A random sample of 150 students in Statistics major vas selected. Let the scores be denoted S1 and S2 for tests T1 and T2, respectively. The tests had different maximum points. The following outputs using R codes were obtained. it<-lm(S2~S1) summary(fit) o8 Call: Lm (formula = S2 * S1) 20 25 30 35 40 45 50 Residuals: Score: S1 Min 1Q Median 3Q Max -13.0214 -3.0934 0.2952 2.9379 14.5996 Coefficients: Estimate Std. Error t value Pr(>]t]) Intercept) 0.10152 51 2.51003 0.04 0.968 0.26723 0.01921 13.91 <2e-16 *** --- Signif. codes: O ***' 0.001 **' 0.01 *' 0.05 '.’ 0.1 ' 1 Residual standard error: 4.472 on 148 degrees of freedom lultiple R-squared: 0.5667, Adjusted R-squared: 0.5638 -statistic: 193.6 on 1 and 148 DF, p-value: < 2.2e-16 lot (fit$fitted,fit$residuals, xlab="fitted values", ylab="residuals") aqnorm(fit$residuals) Normal Q-Q Plot 15 10 5. 00 00 88o 00 e 00 00 god 00 0. 00 우 25 30 35 40 45 2 -1 2 Sample Quantiles

There are three financial aid counselors. If a student’s last initial is from A – H, let them know that their counselor is Jon Stewart. If a student’s last initial is from I – Q, let them know that their counselor is Chelsea Handler. If a student’s last initial is from R – Z, let them know that their counselor is Brian Williams.Ask student for the FICO score, if it’s less than 660 tell that this student cannot have a loan.

More and more seafood is being farm-raised these days. A model (differentialequation) used for the rate of change for a fish population, P(t) in farmingponds is given by P'(t) = b(1-(P(t)/Pm)) - hP(t) where b is the birth rate, PM is the maximum number of fish the pond cansupport, and h is the rate the fish are harvested. Write a python code that implements the Forward Euler method to solve thedifferential equation Suppose that the carrying capacity PM = 20, 000 fish with a birth rateof 6% and a harvesting rate of h = 0%, use your Python code to findand plot the numerical solution for the first 400 days for different valuesof y0. Pick y0 < 20, 000, y0 > 20, 000. Don’t forget to label all your plotswith x and y axes label, titles and legends. Use a time step ∆t = 0.1