Question 60

Film Cash What amount of cash do motion pictures make on a solitary end of the week? Does this sum in any capacity anticipate the film's prosperity or disappointment, or is the film's complete money related achievement more reliant on the quantity of weeks that the film stays in the cinemas? Tn a new week, the accompanying information was gathered for the main 10 motion pictures in auditoriums that weekend.10

Top Movius Weekend Net (in millions) Number of Screens Per-Scieen Normal Weeks in Delivery Gross to Date (in millions) 1 The Notoriety Disney 514.8 2281 $6496 $14.8 2 The Withdrew Warner Brothers. 513.7 3005 $4550 $77.1 3 Banners of Our Dads ParamounVDreamWorks S10.2 1876 $5437 510.2 4 Open Season Sony $8.0 3379 $2367 $69.6 5 Flicka twentieth Century Fox 57.7 2877 $2676 1 $7.7 5 The Resentment 2 Sony $7.7 3124 $2395 = $31.4 7 Man of thu Year All inclusive $7.0 2522 $2789 = $22.5 8 Marie Antoinette Sony 55.3 859 $6169 $5.3 9 The Texas Trimming tool Slaughter: The Starting New Line $3.8 2569 $1496 10 The Marine twentieth Century Fox $3 7 2545 $1463

a. Which sets of factors in the table do you think will have a positive connection? Which sets will have a negative connection? Clarify.

b. Draw a scalterplot relating the gross to date to the quantity of weeks in discharge. How might you portray the connection between these two factors?

c. Draw a scatterplot relating the end of the week gross to the quantity of screens on which the film is being appeared. How might you depict the connection between these two factors?

d. Draw a scatterplot relating the per-screen normal to the quantity of screens on which the film is being appeared. How might you portray the connection between these two factors

Which of the following is a correct description on correlation and regression? Select one: a. In regression analysis, we assume both the dependent variable and the independent variables are random in some way. O b. In regression analysis, we assume that changes in the independent variables cause the changes in the dependent variable. O c. In regression analysis, we assume that changes in the dependent variables cause the changes in the independent variable. O d. In regression analysis, we treat the dependant variable and the independant variables in a completely symmetrical way.Which of the following is NOT a requirement for regression analysis? O a. Interval data O b. Straight-line relationship c. Random sampling O d. All of the answers are requirements-12/02 3. [5 points] Suppose that the number of customers arriving at the Woori Bank follows a Poisson process with a rate of Aw = 0.5 per minute, the number of customers arriving at the Hana Bank follows a Poisson process with a rate of An = 0.2 per minute, and the two Poisson processes are independent. Let( We)be the waiting time to have the kth customer at the Woori Bank and /, be the waiting time to have the kth customer at the Hana Bank. Find the probability distribution of the random variable Wa H 2 and explain why.Consider the 3-state Markov chain described by the graph below, where pe [0, 1]. 1 p 3 2 Obtain a full classification of the states in this Markov chain (classes, recurrence, tran- sience, periodicity) and when appropriate obtain the steady-state probabilities