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1.Determine the linear correlation coefficient between speed and distance. ( round to three decimal places as needed). R =

1.Determine the linear correlation coefficient between speed and distance. ( round to three decimal places as needed). R =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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1.Determine the linear correlation coefficient between speed and distance. ( round to three decimal places as needed).

R = 

 

Click here to view the baseball data. Click here to view a table of critical values for the correlation coefficient. The accompanying data represent the speed at which a ball was hit (in miles per hour) and the distance it traveled (in feet) for a random sample of home runs in a baseball game in 2018. Complete parts (a) through (d) below. (a) A researcher wants to determine if the speed with which the ball is hit may be used to predi O Distance Speed (b) Draw a scat OA. (ydw) peads (c) Determine t (Round to three Baseball Data Distance (feet) 441 427 423 418 415 410 409 406 401 399 395 393 Print Speed (mph) 107.7 110.6 103 105.7 105.6 101.6 Part 3 of 4 103.7 100.8 103.5 101.2 100.2 101.3 Done U X Critical Values for Correlation Coefficient Critical Values for Correlation Coefficient n 3 4 5 6 7 8 Points: 0.17 9 10 11 12 13 14 15 Print 0.997 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.512 Done 4 X 450 et) ✪ 17 G
Transcribed Image Text:Click here to view the baseball data. Click here to view a table of critical values for the correlation coefficient. The accompanying data represent the speed at which a ball was hit (in miles per hour) and the distance it traveled (in feet) for a random sample of home runs in a baseball game in 2018. Complete parts (a) through (d) below. (a) A researcher wants to determine if the speed with which the ball is hit may be used to predi O Distance Speed (b) Draw a scat OA. (ydw) peads (c) Determine t (Round to three Baseball Data Distance (feet) 441 427 423 418 415 410 409 406 401 399 395 393 Print Speed (mph) 107.7 110.6 103 105.7 105.6 101.6 Part 3 of 4 103.7 100.8 103.5 101.2 100.2 101.3 Done U X Critical Values for Correlation Coefficient Critical Values for Correlation Coefficient n 3 4 5 6 7 8 Points: 0.17 9 10 11 12 13 14 15 Print 0.997 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.512 Done 4 X 450 et) ✪ 17 G
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​(d) Does a linear relation exist between the speed at which a ball is hit and the distance the ball​ travels?
 
The variables speed at which the ball is hit and the distance the ball travels are
positively associated because r is positive and the absolute value of the correlation coefficient is
greater than the critical value (            ) 
 
​(Round to three decimal places as​ needed.)
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