Question

21) A study was recently conducted by Major League Baseball to determine whether there is a correlation between attendance at games and the record of home team's opponent. In this study, the dependent variable would be _________________.

22) A correlation of -0.9 indicates a __________ relationship between the variables.

23) The values of the regression coefficients are found such the sum of the residuals is ___________.

24) If the R-square value for a simple linear regression model is 0.80 and the regression line has a negative slope, the correlation coefficient describing the relationship between the two variables is _____________.



25) Given the following regression equation, y = 5.93 – 2.72x, what is the predicted value for y when x = 0.5?   

Answer 1

21) Dependent variable - record of home team's opponent.

(This is the variable studied with respect to the change in attendance at games. Therefore, it is the dependent variable)

22) A correlation of -0.9 indicates a strong negative relationship between the variables.

23) The values of the regression coefficients are found such the sum of the residuals is zero.

24) Correlation coefficient, r =

= 0.89 or -0.89

Since the regression line has negative slope, r = -0.89

25) y = 5.93 - 2.72x

When x = 0.5,

y = 5.93 - 2.72x0.5

= 5.93 - 1.36

= 4.57