Answer:
- 0.964
Step-by-step explanation:
Given that Coefficient of determination (R^2) = 0.93
Slope of regression line = - 5.26
The linear correlation Coefficient =?
The Coefficient of determination (R^2) is used to obtain the proportion of explained variance of the regression line. It is the square of the linear correlation Coefficient (R).
Hence. To obtain the linear correlation Coefficient (R) from the Coefficient of determination (R^2); we take the square root of R^2
Therefore,
R = √R^2
R = √0.93
R = 0.9643650
R = 0.964
However, since the value of the slope is negative, this depicts a negative relationship between the variables, hence R will also be negative ;
Therefore, R = - 0.964
5/ (1/8) = 40. Therefore the team scored 40 goals
That is a false statement the coin has two sides one with a head and a tail’s it will always be a 50 out of 100 chance that it will land on heads or tails so basically FALSE
It would be 0.38 the 8 is repeating
The true speed and direction of the football thrown by the quarterback is 30.185 mph and 9⁰ respectively.
<h3>
Relative velocity of the football</h3>
The true speed and direction of the football is determined by applying the concept of relative velocity.
Vr/w = Vb - Vw
where;
- Vr/w is the velocity of the football with respect to the wind
- Vb is the velocity of the football
- Vw is the velocity of the wind
Vr/w = 41 mph - 11 mph = 30 mph
The direction speed can be determined by sketching a triangle
Direction of the speed, θ = (360 - 339) - (180 - 168)
θ = 21 - 12 = 9⁰
<h3>Resultant speed;</h3>
R² = 41² + 11² - 2(41 x 11 x cos9)
R² = 911.105
R = √911.105
R = 30.185 mph
Thus, the true speed and direction of the football thrown by the quarterback is 30.185 mph and 9⁰ respectively.
Learn more about relative velocity here: brainly.com/question/17228388
#SPJ1
