A minor league baseball team is interested in knowing if temperature at 6:00 p.m. affects attendance...

  

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A minor league baseball team is interested in knowing if temperature at 6:00 p.m. affects attendance at their games. The following random sample was collected where x= temperature at 6:00p.m. (in degrees Fahrenheit) and y attendance rounded to hundreds on six randomly selected evenings. * (temperature, °F) y (attendance in hundreds-rounded) Ex = 369, Σy = 81, Σχ = 23275, Ey² = 1189, Exy=5189 a) See attached scatter diagram; from the scatter diagram do you expect there to be positive, negative or no correlation between the variables temperature and attendance? Explain your answer. 61 70 50 65 48 75 10 16 12 15 8 20 For the following calculations, show your work using formulas provided and using the sums provided: b) calculate and y c) calculate the sample correlation coefficient (r). d) Calculate the slope of the line (b) e) Calculate the y-intercept (a). f) Determine the regression equation. g) Solve your regression equation for the lowest and highest values in your sample data and plot on graph. Show your work finding the answers for the values: Using your predictions draw the least squares line on your scatter diagram. h) Using the regression equation, predict the attendance at a night game in May for a temperature of 60°F (make sure you consider in hundreds). A minor league baseball team is interested in knowing if temperature at 6:00 p.m. affects attendance at their games. The following random sample was collected where x= temperature at 6:00p.m. (in degrees Fahrenheit) and y attendance rounded to hundreds on six randomly selected evenings. * (temperature, °F) y (attendance in hundreds-rounded) Ex = 369, Σy = 81, Σχ = 23275, Ey² = 1189, Exy=5189 a) See attached scatter diagram; from the scatter diagram do you expect there to be positive, negative or no correlation between the variables temperature and attendance? Explain your answer. 61 70 50 65 48 75 10 16 12 15 8 20 For the following calculations, show your work using formulas provided and using the sums provided: b) calculate and y c) calculate the sample correlation coefficient (r). d) Calculate the slope of the line (b) e) Calculate the y-intercept (a). f) Determine the regression equation. g) Solve your regression equation for the lowest and highest values in your sample data and plot on graph. Show your work finding the answers for the values: Using your predictions draw the least squares line on your scatter diagram. h) Using the regression equation, predict the attendance at a night game in May for a temperature of 60°F (make sure you consider in hundreds).