.A department store gives in-service training to its salesmen which is followed by a test.It is čonsidering whether it should terminate the services of any salesman who does not do well in the test.The following data gives the test scores and sales made by nine salesmen during a certain period:Test ScoresSales (*00143119362448213726225045153320411939Calculate the coefficient of correlation between the test scores and the sales. Does it indicate thatthe termination of services of low test scores is justified ? If the firm wants a minimum sales volume of3,000, what is the minimum test score that will ensure continuation of service ? Also estimate themost probable sales volume of a salesman making a score of 28.

Given: Test score Sales 14 31 19 36 24 48 21 37 26 50 22 45 15 33 20 41 19…

Answered: .A department store gives in-service…

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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2. Consider the following examples; would you expect the correlation coefficient to be close to 1, -1, or 0 (10 points): The amount of time a dog is walked, and the number of hours the dog sleeps at night Outdoor temperature and snowfall. The length of time someone wears braces and their SAT scores. 3. The following graph represents the amount of time that someone studies for their final exam, and their final examination grade (HINT) (20 points). Student 1 Student 2 Student 3 Student 4 Student 5 Student 6 Hours Studied 4 7 11 8 10 8 Final Exam Grade 55% 72% 88% 93% 91% 84% Graph the following students as ordered pairs. Let the x-axis represent the hours studied, and the y-axis represent the students’ final exam grade. Circle the value that best represents the estimate of r: (circle one) -0.99, -0.62, -0.30, 0, 0.30, 0.75, 0.85, 0.99
The ages of the runners in a race and their finishing positions are given in the following table. Assuming x is the finish position and y is the person's age, is there a significant correlation between age and finishing position? Answer Choices Not significant Not one of these Significant at both 5% and 1% Significant at 5% but not 1% Significant at 1%
The store manager of a business that sells jackets is curious if the weather temperature (in degrees Celsius) per day is related to the daily sales (in pesos) earned by the store. He took some random samples and recorded the temperatures and sales for the selected days, which can be found in the next slide. Calculate the correlation coefficient and interpret the result.
50. The Dow Jones Industrial Average (DJIA) and the Standard & Poor's 500 Index (S&P 500) are both used to measure the performance of the stock market. The DJIA is based on the price of stocks for 30 large companies; the S&P 500 is based on the price of stocks for 500 companies. If both the DJIA and S&P 500 measure the performance of the stock market, how are they correlated? The following data show the daily percent increase or daily percent decrease in the DJIA and S&P 500 for a sample of nine days over a three-month period (The Wall Street Journal, January 15 to March 10, 2006). -.99 -.24 30 .55 -.25 DJIA S&P 500 .20 .24 .82 .19 1.01 .87 .04 -91 .08 -.33 .36 .83 -.16 a. Show a scatter diagram. b. Compute the sample correlation coefficient for these data. Discuss the association between the DJIA and S&P 500. Do you need to check both before having a general idea about the daily stock market performance? с.
28. The following are the monthly figures of advertising expenditure and sales of a firm. It is generally found that advertising expenditure has its impact on sales generally after 2 months. Allowing for this time lag, calculate coefficient of correlation. Advertising Expenditure (Rs. '000) Sales (Rs. "000) Advertising Expenditure (As. '000) Sales (Rs. '000) Month Month July 140 2,400 1,200 1,500 Jan. 50 160 2,600 Aug. Sept. Feb. 60 2,800 2,900 3,100 3,900 170 1,600 2,000 March 70 April 90 Oc. 190 May 120 2,200 Nov. 200 June 150 2,500 Dec. 250
A statistic teacher recorded the Math and Science test scores of twelve students from one section. Using 0.05 as the level of significance, is there a significant relationship between the test scores in Mathematics and Science? Student number Math Scores (X) Science Scores (Y) 1 18 20 2 16 18 3 11 12 4 15 17 5 15 15 6 11 14 7 11 12 8 13 14 9 8 10 10 9 13 11 13 12 12 7 9
2. You are given the following data of marks obtained by 11 students in statistics in two tests, one before and other after a special coaching. Evaluate the rank correlation coefficient and comment on its value. First 23 20 19 21 18 18 20 18 17 23 16 19 Test(before coaching) Second Test( After coaching) 24 19 22 18 20 22 20 22 20 20 23 20 17 3. Calculate the rank correlation coeffieient and comment on its value. 65 120 70 115 50 75 65 115 50 125 50 55 55 60 Y. 110 110 140, 115 130 160 STAT3. 20
Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below. Test A (x) 43 65 73 34 99 78 65 Test B (y) 39 60 62 20 85 70 54 1. Calculate r, the linear correlation coefficient. Identify the values for each part below. Part a. The value of n Part b. The sum of the x-values Part c. The sum of the y-values Part d. The sum of the x-squared values Part e. The sum of the y-squared values Part f. The sum of the (xy) values Part g. The final value of r rounded top three decimal places
. Dr. Hafen is doing research on the effects of study time (how many minutes students study) on test performance (their score on an exam). He hypothesizes that the amount of study time will impact an individual’s performance on the exam. Then Dr. Hafen collects data on 100 students. He collects data on their ‘study time’ and their ‘exam performance’, then runs a Pearson correlation. In your own words, please describe what Dr. Hafen’s null hypothesis would be and what Dr. Hafen’s alternative hypothesis would be. If Dr. Hafen makes a Type I error, what would that mean in the context of this study? If he makes a Type II error, what would that mean in the context of this study?
16. In comparing the relationship between rainfall and hot dog sales, a student finds the correlation to be r = -0.56. What is the best description of the relationship between these two sets of data? Group of answer choices Negative and Strong Positive and Weak Negative and Moderate Positive and Moderate
A personnel manager wants to find out if a test carried out during an employee’s interview and a skills assessment at the end of basis training is a guide to performance after working for the company for one year. The table below shows the results of the interview test of 10 employees and their performance after one year. Please provide the Pearson r correlation coefficient for the indicated data. How would you rate the correlation coefficient (strong, moderate, weak)? Employee A B C D E F G H I J Interview test, x % 65 71 79 77 85 78 85 90 81 62 Performance after one year, y % 65 74 82 64 87 78 61 65 79 69
2. A study was conducted to determine the relationship between a person’s monthly income in Omani Rials and the number of meals that person eats away from home per month. The data are shown below.

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