Mark Gershon, owner of a musical instrument distributorship, thinks that demand for guitars may be related to thenumber of television appearances by the popular group Maroon 5 during the previous month. Gershon has collected thedata shown in the following table:Maroon 5 TV AppearancesDemand for Guitars345 8 659 688 6 9This exercise contains only parts b, c, and d.b) Using the least-squares regression method, the equation for forecasting is (round your responses to four decimalplaces):Y=0+0x

Answered: Mark Gershon, owner of a musical…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You are a manager at a restaurant and you want to see if there is a relationship between the number of hours your employees work and the number of sales they made. You collect the following data: Employees Hours Worked Sales Made (Y) X2 Laura 6 100 Sarah 8 120 Tim 10 140 Jimmy 12 160 Carter 14 180 Totals determine the correlation coefficient and determine if a statistically significant relationship exists between the two variables. If there is, then they must also supply the linear regression model.
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…
ABC Company is exploring different prediction models that can be used to forecast indirect labor costs. One independent variable under consideration is machine hours. Following are matching observations on indirect labor costs and machine hours for the past six months: Machine hours Indirect labor costs P20,000 P24,000 P17,000 P22,000 P13,000 P14,000 Month 1 300 400 240 4 370 5 200 6 225 Using linear regression analysis, the estimated variable indirect labor cost per machine hour is closest to: P35.62 P15.44 P52.71 P58.31
The following is the data for Patient Days (the cost driver) and Maintenance Costs for a local hospital: Month Patient Days (Cost driver) Maintenance Costs January 3,300 $4,450 February 4,050 $4,750 March 3,000 $4,200 April 3, 750 $ 4,600 May 4,150 $5,050 June 4,500 $5,400 July 2,600 $4,400 Using regression analysis to analyze the hospital's cost structure, the estimated fixed maintenance cost for the hospital is: $5,468 $0.793 $2,734 $0.541
At Hard Rock’s Moscow restaurant, the manager is trying to evaluate how a new advertising campaign affects guest counts. Using data for the past 10 months (see the table), develop a least-squares regression relationship and then forecast the expected guest count when advertising is $65,000.
Grade Prediction. The Statistics Department at a large university would like to predict the final grades of students in its introductory statistics course. a. If the final grade is measured as a percentage from 0% to 100%, suggest five predictor variables that might be useful in predicting final grade. b. Write the multiple linear regression model for the conditional mean of the response variable, final grade.
A chemical engineer is investigating the effect of process operating temperature on product yield. The study results in the following data: Temperature Yield 100 57.71 110 63.17 120 76.30 130 73.30 140 89.07 150 91.17 160 170 114.11 106.33 180 190 114.38 124.07 You can use Minitab to answer the following questions. However, you should be able to calculate the slope and intercept of the least squares regression model by hand, which requires only the mear and standard deviations of X and Y, and the correlation coefficient (here r = 0.9751). 1. what is the mean temperature? 155 150 130 145 Submit Answer Tries 0/2
a. Develop the least squares estimated regression equation that relates labor hours to house square footage and type of flooring. b. Use the regression equation developed in part (a) to predict labor hours when the house size is 3350 square feet and the type of flooring is wood.
Name Her Age His Age Barack and Michelle Obama 45 47 George W. and Laura Bush 54 54 Bill and Hillary Clinton 45 46 Ronald and Nancy Reagan 55 64 Gerald and Betty Ford 59 69 Lyndon and Lady Bird Johnson 56 61 John and Jacqueline Kennedy 31 43 Dwight and Mamie Eisenhower 50 55 (c) Remove the outlier and compute the least-squares regression line for predicting the president's age from first lady's age. Round the slope and y -intercept values to at least four decimal places. Regression line equation: =y
In multiple regression analysis, a problem that is not found in simple linear regressions can be caused by the correlation among the independent variables. This problem is called… …multicollaboration …multicollinearity …multicultural …correlation collateral damage
Section 10.2 Question #11 The data show the number of viewers for television stars with certain salaries. Find the regression equation, letting salary be the independent (x) variable. Find the best predicted number of viewers for a television star with a salary of $11million. Is the result close to the actual number of viewers, 3.3 million? Use a significance level of 0.05. Salary (millions of $) 108 15 2 15 3 8 4 14 Viewers (millions) 9.1 9.3 10.9 1.3 4.8 4.8 3.2 1.8 View the critical values of the Pearson correlation coefficient r. Critical values of the pearson correlation coefficient r n α=0.05 α=0.01 NOTE: To test H0: ρ=0 against H1: ρ≠0,reject H0if the absolute value of r is greater than the critical value in the table. 4 0.950 0.990 5 0.878 0.959 6 0.811 0.917 7 0.754 0.875 8 0.707 0.834 9 0.666 0.798 10 0.632 0.765 11 0.602 0.735…
Advertising and Sales. Use the technology of your choice to do the following. a. Obtain the scatterplot matrix for the data. b. Use the scatterplot matrix to assess whether a multiple linear regression model might be appropriate for predicting sales. c. Determine the regression equation for the data. d. Apply the regression equation to predict total sales if the amounts spent on television, magazine, and radio advertising are $9.5 million, $4.3 million, and $5.2 million, respectively.

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