SOLUTION: A graphing calculator is recommended. The data in the table below show the distance, in feet, a ball travels for various swing speeds, in miles per hour, of a bat. Bat speed (

Algebra ->  Inequalities -> SOLUTION: A graphing calculator is recommended. The data in the table below show the distance, in feet, a ball travels for various swing speeds, in miles per hour, of a bat. Bat speed (      Log On


   



Question 1129806: A graphing calculator is recommended.
The data in the table below show the distance, in feet, a ball travels for various swing speeds, in miles per hour, of a bat.
Bat speed (mph) Distance (ft)
40 199
45 217
50 237
60 280
70 298
75 326
80 334
(a) Find the linear regression equation for these data. (Round all numerical values to three decimal places.)
y = ___________
(b) Using the regression model, what is the expected distance a ball will travel when the bat speed is 58 miles per hour? Round to the nearest foot.
___________ft

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

40 199
45 217
50 237
60 280
70 298
75 326
80 334

Sample size: 7
Sum of sum%28x%29=+420
Sum of sum%28y%29=+1891
Mean x =>+60
Mean y =>+270.1429
Sum of squares %28SSx%29+=+1450
Sum of products SP+=+4945
Regression Equation =>+y+=+mx+%2B+b
m+=+SP%2FSSx+=+4945%2F1450+=+3.41034
b+=+My+-+mMy+=+270.14+-+%283.41%2A60%29+=+65.52217
Regression line equation:
+y+=+3.41034x+%2B+65.52217


(b) Using the regression model, what is the expected distance a ball will travel when the bat speed is 58 miles per hour? Round to the nearest foot.
+y+=+3.41034%2A58+%2B+65.52217
+y+=+197.79972%2B+65.52217
+y+=+263.32189
to the nearest foot: ____263_______ft