Given a collection of pairs (x, y), find both the correlation coefficient, r, and the regression or leastsquares line y = mx + b. The following represents final exam results for students taking both economics (x),and anthropology (y).Xr =y51 6874 70Regression Line:72 978893Check Answer5655 73669567 73 9958You may round the correlation coefficient to three decimals and the regression line to two.747373 68 8745

xy5174687072889793556773739599747345687387

Answered: Given a collection of pairs (x, y),…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Is It Getting Harder to Win a Hot Dog Eating Contest?Every Fourth of July, Nathan’s Famous in New York City holds a hot dog eating contest. The table below shows the winning number of hot dogs and buns eaten every year from 2002 to 2015, and the data are also available in HotDogs. The figure below shows the scatterplot with the regression line. Year Hot Dogs 2015 62 2014 61 2013 69 2012 68 2011 62 2010 54 2009 68 2008 59 2007 66 2006 54 2005 49 2004 54 2003 45 2002 50 Winning number of hot dogs in the hot dog eating contest Winning number of hot dogs and buns Click here for the dataset associated with this question. (a) Is the trend in the data mostly positive or negative? Positive Negative (b) Using the figure provided, is the residual larger in 2007 or 2008?Choose the answer from the menu in accordance to item (b) of the question statement 20072008 Is the residual positive or…
6. The table below shows varying prices of music sold on a streaming service. Determine the linear regression to estimate the price of albums sold, use your regression to estimate the price of albums sold if 300,000 albums are selling each week and state the coefficient of determination, r², and interpret its meaning in the context of this problem. Weekly sales (in thousands) Price ($) 440 $8 380 250 180 $8.50 $10 $11.50
Using least square method, find the regression line model. Interprete your result. Calculate the coefficient of correlation and explain. Calculate the coefficient of determination and explain your answer.
In order for applicants to work for the foreign-service department, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that applicants have studied a particular language and the grades they received on the proficiency exam. Find the equation of the regression line for the given data. Number of years, x 4 4 3 6 2 7 3 Grades on test, y 61 68 75 82 73 90 58 93 72 滷 O A. =6.910x+46.261 O B. y = 46.261x+6.910 OC. v=6.910x-46.261 OD. O D. y = 46.261x -6.910 Fi St 5e Assig
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The arm span and foot length were both measured (in centimeters) for each of 20 students in a biology class. The computer output displays the regression analysis. Which of the following is the best interpretation of the coefficient of determination r2? About 37% of the variation in arm span is accounted for by the linear relationship formed with the foot length. About 65% of the variation in foot length is accounted for by the linear relationship formed with the arm span. About 63% of the variation in arm span is accounted for by the linear relationship formed with the foot length. About 63% of the variation in foot length is accounted for by the linear relationship formed with the arm span.
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The following data is the number of tickets sold and the jackpot value for the Mega Millions lottery. The jackpot value is in millions of dollars and the number of tickets sold is in millions. Jackpot value 334 127 300 227 202 180 164 145 255 Number of tickets sold 54 16 41 27 23 18 18 16 26 r= 0.947 tickets sold -10.87 +0.17 (jackpot value) Which is the independent variable and which is the dependent variable? X= independent variable = Y= dependent variable Interpret ². Interpret the slope. Predict the number of tickets sold when the jackpot value is 500 million dollars. Would you feel comfortable using the model for this value? Why or why not.
4) How to conduct multiple regression in Excel (Provide the steps)? Driving Experience (years) Monthly Auto Insurance Premium 5 $64 2 87 12 50 9 71 15 44 6 56 25 42 16 60 Does the insurance premium depend on the driving experience or does the driving experience depend on the insurance premium? Do you expect a positive or a negative relationship between these two variables?
The data shows the scores of 8 employees in an admission test and their academic performance. 1. Trace the regression line 2. What is the slope of the line? 3. What is the y-intercept? Score in admission test (x) 52 Grade (y) 80 61 79 86 79 45 95 90 75 58 82 60 80 45 70
d. Draw the regression line on the scatter diagram using the yp points.e. Find y for x = 50 x 20 10 30 40 60 70 y 20 20 30 50 60 80
The director of surgery at a local hospital is interested in understanding his unit’s costs. An assistant collected data for the past 36 months on unit cost (labor, supplies, and so on) along with the number of procedures performed in the unit. The assistant analyzed the data using a spreadsheet program, and the following output was generated. Equation Intercept $ 1,006,000 Coefficient on procedures $ 230 Statistical data Correlation coefficient 0.518 R2 0.268 The unit is planning to perform an average 18,5000 procedures per month for the coming year. Required A: Use the regression output to write the surgical unit cost equation. Surgical unit cost = ____________ + __________ x Procedures Required B: Based on the cost equation,…

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