(c) Estimate the correlation coefficient. Express result to 2 decimal places.r =i(d) Test the hypothesis Ho: p= 0 versus H1: p + 0, using a =0.05.Calculate to: i. (Express result to 1 decimal place.)Is the correlation coefficient sufficiently different from zero?(e) Test the hypothesis Ho: p= 0.5 versus H1:p + 0.5, using a =0.05.Calculate zo:i. (Express result to 2 decimal places.)Is the correlation coefficient sufficiently different from 0.5?(f) Construct a 95% confidence interval for the correlation coefficient. Express result to 2 decimal places. The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operationsresearch follow. Assume that the final averages are jointly normally distributed.StatisticsORStatistics ORStatisticsORStatistics OR86819694848575707581838071727173697586816265767275817176909384809092657283819798(a) Find the regression line relating the statistics final average (y) to the OR final average (x). Express results to 2 decimal places.ii(b) Test for significance of regression using a =0.05.Calculate fo: i. (Express result to 1 decimal place.)Is the model significant?

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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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a. Determine the correlation coefficient between the number of periods and the sales. Is time series a good method of predicting the monthly sales for year 4?b. Determine the correlation coefficient between the sales and the number of tourists in the area. Is a linear regression a good method to predict the sales for a month?
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…
Calculate the residual for the first observation in the dataset.
The table shows the national expenditures for health care in billions, in a country for the selected years from 1990 to 2020. Given the projection cost for the year 2002, identify the type of regression point. Year Exprenditures ($billions) 1991 1020 1994 1356 1998 1984 2004 2984 2009 3374 2016 4765 2020 5937 Interpolation Extrapolation Neither Both
Solve the following statistical problems using correlation.
Outside Sr # Tempera (Number Sales X(outsid Y(sales) X*2 Y*2 Y=-5 e ture of Air tempera (Degrees Conditio ture) F) ning units sold) 68 3 68 3 4624 204 1.636 72 72 5 5184 25 360 4.883 78 7 3 78 7. 6084 49 546 9.754 81 12 4 81 12 6561 144 972 12.19 84 15 84 15 7056 225 1260 14.62 86 16 6 86 16 7396 256 1376 16.25 89 22 89 22 7921 484 1958 18.68 91 18 91 18 8281 324 1638 20.31 93 19 9 93 19 8649 361 1767 21.93 94 26 10 94 26 8836 676 2444 22.74 836 143 7059 2553 12525 143 sum Y= Plot a scatter diagram for the data provided on the table above and the linear regression line calculated in topic (b). Consider that: Y: number of air conditioning units sold X: outside temperature (degrees F) rds English (U.S.) Text Predictions: On acer
The following is a table showing the price of car insurance based on how much driving experience that an insurance holder has. Use the years of driving experience as your explanatory (independent) variable and the monthly insurance premium as your response (dependent) variable. Years of driving experience 0 1 2 3 4 5 6 7 8 Cost of monthly insurance premium 67 63 62 59 50 42 39 34 32 a) What is the least squares regression line for this bivariate dataset? (write in y=mx+b form) b) What is the correlation coefficient? c) Find the residual cost of someone with 5 years of driving experience (difference between predicted and observed values) d) Interpret the y-intercept and slope of the regression line in context of the problem.
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
Answer items (c) and (d) only
(e) Find the least-squares regression line treating square footage as the explanatory variable.
You are given the following data, where X1X1 (final percentage in science class) and X2X2 (number of absences) are used to predict YY (standardized science test score in third grade): X1X1 X2X2 YY 95 2 415 82 0 400 92 6 375 72 1 410 75 4 370 80 1 390 78 3 350 70 3 345 65 7 300 70 3 350 88 3 375 89 1 450 Determine the following multiple regression values.Report intercept and slopes for regression equation accurate to at least 2 decimal places: Intercept: b0=b0= Partial slope X1X1: b1=b1= Partial slope X2X2: b2=b2= Report the coefficient of multiple determination for the model (NOT the adjusted R2R2) and the sum of squares total accurate to at least 2 decimal places: R2=R2= SSTotal=SSTotal= Test the significance of the overall regression model. F-test statistic = P-value = Report the Mean Squares residuals accurate to 2 decimal places: Report the test statistics for the regression coefficients accurate to 2 decimal places:…

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