Last year, five randomly selected students took a math aptitude test before they began their statistics course. The Statistics Department would like to analyze the relationship of the data, make predictions using the regression equation and validate the regression equation. The data of the math aptitude test score and corresponding statistics grade are shown in Table 4. Table 4 Score on math aptitude test (x)Statistics grade (y) 95 85 85 80 80 75 70 75 60 65 Answers at 2 decimal places. ( α) Calculate Σα, Συ, Σay and Σα . Ex = Ey = Exy = Ex2 = (b) Calculate the value of b and bo. bo = (c) Based on your answers in (a) and (b), what linear regression equation best predicts statistics performance, based on math aptitude scores? ŷ =

Last year, five randomly selected students took a math aptitude test before they began their statistics course. The Statistics Department would like to analyze the relationship of the data, make predictions using the regression equation and validate the regression equation. The data of the math aptitude test score and corresponding statistics grade are shown in Table 4. Table 4 Score on math aptitude test (x)Statistics grade (y) 95 85 85 80 80 75 70 75 60 65 Answers at 2 decimal places. ( α) Calculate Σα, Συ, Σay and Σα . Ex = Ey = Exy = Ex2 = (b) Calculate the value of b and bo. bo = (c) Based on your answers in (a) and (b), what linear regression equation best predicts statistics performance, based on math aptitude scores? ŷ =

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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The table below gives the age and bone density for five randomly selected women. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting a woman's bone density based on her age. 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. Age 34 48 49 57 68 Bone Density 348 346 344 323 318 Find the estimated value of y when x=48. Round your answer to three decimal places.
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