In the following problems, find the equation of the least squared regression line and the correlation coefficient. Then perform a hypothesis test to determine if there is a significant relationship between the two variables. Use the p-value method and show all 5 steps of the hypothesis test. Test at a= 0.05 . 1. The numbers of faculty and students are shown for a random selection of small colleges. Faculty, x 99 110 113 116 138 174 220 Students, y 1353 1290 1091 1213 1384 1283 2075

In the following problems, find the equation of the least squared regression line and the correlation coefficient. Then perform a hypothesis test to determine if there is a significant relationship between the two variables. Use the p-value method and show all 5 steps of the hypothesis test. Test at a= 0.05 . 1. The numbers of faculty and students are shown for a random selection of small colleges. Faculty, x 99 110 113 116 138 174 220 Students, y 1353 1290 1091 1213 1384 1283 2075

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…
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