V53980 V2Example 8.13. Calculate correlation coefficient r(x, y) from the following data :n = 10, Ex = 140, Ey = 150, {(x-10)2 = 180, E(y-15)2 = 215, E(x-10) (y- 15) = 60[Delhi Univ. B.Com. (Hons.), 2007]

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Answered: Example 8-13. Calculate correlation…

MATLAB: An Introduction with Applications

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Chapter1: Starting With Matlab

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The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, yˆ=b0+b1xy^=b0+b1x, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Unsupervised 1.51.5 2.52.5 33 44 4.54.5 55 66 Overall Grades 9494 9292 8282 7979 7171 7070 6262 Find the value of the coefficient of determination. Round your answer to three decimal places.
The table below gives the number of hours seven randomly selected students spent studying and their corresponding midterm exam grades. Using this data, consider the equation of the regression line, yˆ=b0+b1xy^=b0+b1x, for predicting the midterm exam grade that a student will earn based on the number of hours spent studying. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Studying 2 2.5 3 3.5 4 4.5 5 Midterm Grades 72 74 80 82 87 88 93 Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false.

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Example 8-13. Calculate correlation coefficient r(x, y) from the following data : n = 10, Ex = 140, Ey = 150, E(x- 10)2 = 180, E(y-15)2= 215, E(x-10) (y- 15) = 60 %3D %3D [Delhi Univ. B.Com. (Hons.), 2007)