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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What is the relationship between the number of minutes per day a woman spends talking on the phone and the woman's weight? The time on the phone and weight for 7 women are shown in the table below. Time 47 65 51 50 76 46 60 Pounds 161 179 173 181 202 157 170 a. Find the correlation coefficient: r = Round to 2 decimal places. b. The null and alternative hypotheses for correlation are: Ho: ? v Hj: ? ▼ The p-value is: (Round to four decimal places) c. Use a level of significance of a = 0.05 to state the conclusion of the hypothesis test in the context of the study. O There is statistically insignificant evidence to conclude that a woman who spends more time on the phone will weigh more than a woman who spends less time on the phone. O There is statistically insignificant evidence to conclude that there is a correlation between the time women spend on the phone and their weight. Thus, the use of the regression line is not appropriate. O There is statistically significant evidence to…
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UnattemptedQuestion 1Expand PreviousNext The data below was collected from manufacturer advertisements of their vehicles' horsepower and highway gas mileage (mpg.). Use this data to answer the following questions. x 158 250 340 350 390 190 220 y 33 28 15 17 11 35 42 1. Find the p-value to determine if there is a linear correlation between horsepower and highway gas mileage (mpg). If there is a linear correlation, write the correlation coefficient below if there is a linear correlation, write the regression equation below. Using the data shown above, predict the the highway gas mileage (mpg) for a car that has a horsepower of 225 If there is a linear correlation, what percentage of variation in highway gas mileage (mpg) can be explained by horsepower?

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