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Homework answers / question archive / The following table shows the data for the exerted pressure and the corresponding volume of a particular gas

The following table shows the data for the exerted pressure and the corresponding volume of a particular gas

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The following table shows the data for the exerted pressure and the corresponding volume of a particular gas. Pressure 1015 2000 3000 4000 5000 6000 Volume 1000 505 330 255 205 170 The relationship between the pressure exerted by the compressed gas and the volume of the gas based on the above set of data is given by V = -0.1466P + 924.1250 where P is the pressure (in hPa) and V is the volume (in mL). (i) What is the volume of the gas if the pressure is 4875 hPa? Comment on the reliability of the answer. (3 marks) (ii) Given that the correlation coefficient is r = -0.8765, interpret this value. (2 marks) (iii) Calculate the coefficient of determination and interpret the value. (3 marks)

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V = - 0 .1466 9 + 924 . 1250 al of P = 4875. V = 9 24 . 125 - 0 . 1466 4875 V = 209.45 yes this is reliable estimate, because we take values within of Pagiven dataset ( on which we fit regression line ). 8 = -0.8765 It simply gives the direction and strength of linear relationship between and P. This value Indicate volume and Pressure is strong Inegatively linearly related. ine of pressure increases, volume decreases, or vice versa. "I coefficient of variation = R = 17 1= 0.76825 = 76. 825% This means. The fitted regression line explained 76.825 % variation of volume..

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