An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (1)
Substitute x = 2005 into the regression equation: y = 1.31 x − 2581.6 .
Calculate y : y = 1.31 × 2005 − 2581.6 = 44.95 .
Multiply y by 1 , 000 , 000 to get the attendance: 44.95 × 1 , 000 , 000 = 44 , 950 , 000 .
The predicted attendance for minor league baseball in the year 2005 is 44 , 950 , 000 .
Explanation
Understanding the Problem We are given the regression equation y = 1.31 x − 2581.6 , where y represents the predicted attendance in millions and x represents the year. We need to predict the attendance for the year 2005.
Substituting the Value of x To predict the attendance in 2005, we substitute x = 2005 into the equation: y = 1.31 × 2005 − 2581.6
Calculating y Now, we calculate the value of y :
y = 2626.55 − 2581.6 = 44.95
Finding the Attendance Since y represents the attendance in millions, the predicted attendance in 2005 is 44.95 million, which is 44 , 950 , 000 .
Final Answer Therefore, the predicted attendance for minor league baseball in the year 2005 is 44 , 950 , 000 . The correct answer is c.
Examples
Regression equations are used to predict future values based on past data. For example, a store owner might use a regression equation to predict future sales based on past sales data. This helps them to plan their inventory and staffing levels. Similarly, in sports, regression analysis can help predict future performance based on past statistics, aiding in strategic decisions.
