Branden and Pete both play running back. Branden carries the ball 75 times for 550 yards and Pete had 42 carries for 380 yards w
1 answer:
Answer:
Pete runs farther per carry.
Step-by-step explanation:
Given:
Branden and Pete both play running back.
Branden carries the ball 75 times for 550 yards.
Pete had 42 carries for 380 yards
Question asked:
Who runs farther per carry ?
Solution:
First of all we find each boy's distance covered per carry:-
<u>For Branden</u>
Branden carries the ball 75 times for = 550 yards.
Branden carries the ball 1 time for =
<u>For Pete </u>
Pete carries 42 times for = 380 yards
Pete carries 1 time for =
As Pete runs 9.05 yards for 1 carry while Branden runs 7.34 yards for 1 carry, hence Pete runs farther per carry.
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The correct option will be: C) 0.84
<u><em>Explanation</em></u>
Formula for Correlation coefficient :
First, for each point(x, y), we need to calculate x², y² and xy .
Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy
<em>(Please refer to the attached image for the table )</em>
Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480
'n' is the total number of data set, which is 7 here.
So, plugging those values into the above formula..........
So, the value of the correlation coefficient is 0.84
