Question

Based on the information provided in the table, what is the equation of the least-squares line predicting wins from payroll? A general manager for a sports team wanted to know if teams that spend more money on their player contracts tend to win more games. The mangaer gathered data on 32 football teams and analyzed their payroll in millions of dollars, x, and number of wins, y. Summary statistics on the information is shown in the table below. O ý = 130 + 1,55x O y = -6.37 + 0.1% O 9 = 7.75 + 3.12% O y = 142 + 12.34x It is not possible to calculate the equation of the least-squares line from the information provided. Mean Standard deviation Correlation coefficient Payroll (x) 142.1 12.34 Wins (y) 7.75 3.12 0.393

Answer 1

The equation of the least-squares line predicting wins from payroll is:

y = -6.37 + 0.1*x

The equation of the least-squares line predicting wins from payroll can be calculated using the following formula:

y = b0 + b1*x

where y is the dependent variable (number of wins), x is the independent variable (payroll in millions of dollars), b0 is the y-intercept of the line, and b1 is the slope of the line.

To calculate the values of b0 and b1, you can use the following formulas:

b1 = r*($\frac{sy}{sx}$)

b0 = mean(y) - b1*mean(x)

where r is the correlation coefficient between x and y, sx is the standard deviation of x, and sy is the standard deviation of y.

Using the values provided in the table, we can calculate the equation of the least-squares line as follows:

b1 = 0.393*($\frac {3.12}{12.34}$) = 0.1

b0 = 7.75 - 0.1*142.1 = -6.37

Therefore, the equation of the least-squares line predicting wins from payroll is:

y = -6.37 + 0.1*x

To learn more about standard deviation, visit:

brainly.com/question/23907081

#SPJ4