The following table shows the number of hours of safety training at a large industrial plant for each of 6 divisions within the plant and the number ofwork hours lost due to accidents.X: Hours of safety training101930506580Y: Work hours lost806568351012a. Determine the Pearson's Coefficient of Correlation for the given data.Answer rounded to two decimal placesb. Which of the following is an apporpriate comment for the correlation between X and Y?There is a strong positive correlation between X and YThere is a moderate positive correlation between X and YThere is a weak positive correlation between X and YThere is a strong negative correlation between X and YThere is a moderate negative correlation between X and Y c. What percentage of the variation in work hours lost is explained by the linear relationship between X and Y?Answer either in percentage or as a decimal (eg: 15.25%, or 0.1525)

Solution: X Y (X-X) (X-X)2 (Y-Y) (Y-Y)2 (X-X)(Y-Y) 10 80 -32.3333 1045.442 35 1225 -1131.67…

Answered: work hours lost due to accidents. X:…

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 grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 22 16 15 19 7 8 14 10 Money 81 55 41 60 41 21 35 54 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? ρ r μ ? = 0H1:H1: ? μ r ρ ? ≠ 0 The p-value is: _______ (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. There is statistically significant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the…
Which of the following best describes the Pearson correlation for these data? X Y 2 5 5 1 3 4 4 2
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A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 10 8 6 13 19 18 27 10 7 Money 58 25 41 51 84 81 87 45 15 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: == 0H1:H1: ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at the store. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that there is a correlation between the amount of time…
The data shown below consists of the price (in dollars) of 7 events at a local venue and the number of people who attended. Determine if there is significant negative linear correlation between ticket price and number of attendees. Use a significance level of 0.05 and round all values to 4 decimal places. Ticket Price Attendence 6. 109 10 114 14 139 18 142 22 139 26 132 30 154 Но: = 0 На: р Find the Linear Correlation Coefficient r = Find the p-value p-value = %3D The p-value is Less than (or equal to) a Greater than a The p-value leads to a decision to Reject Ho Аcсept Ho Do Not Reject Ho The conclusion is There is a significant linear correlation between ticket price and attendance. There is a significant negative linear correlation between ticket price and attendance. There is a significant positive linear correlation between ticket price and attendance. There is insufficient evidence to make a conclusion about the linear correlation between ticket price and attendance.
Please answer all questions A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced 60 57 40 44 45 58 54 48 Sprout Percent 54 53.2 65 59.4 66 49.8 51.4 64.8 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: == 0H1:H1: ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically significant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of the seeds that sprout. Thus, the regression line is useful. There is statistically insignificant evidence to conclude that there is a correlation between the number of seeds that a plant produces and the percent of…
Consider below the correlation between the test result in the First attempt and the Second attempt. Which of the following statement best describes the diagram? Select one: a the correlation is -1.00 b there is a very weak linear correlation c there is a very strong negative linear correlation d there is a very strong positive correlation
grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 12 26 5 28 11 24 20 21 16 Money 37 84 34 84 53 92 72 92 75 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: P == 0 H1:H1: P ≠≠ 0 The p-value is: (Round to four decimal places) r2 = (Round to two decimal places)
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