Answer:
line of best fit: y = -2.9114x + 46.569
Step-by-step explanation:
Plugging in your table into Excel, it turns out that y = -2.9114x + 46.569 provides a better fit of the data points into the line. Please see the attached image for details.
Hope this helps.
Answer:
0.3164 = 31.64% probability the team wins all its conference games
Step-by-step explanation:
For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
A football team has a probability of .75 of winning when playing any of the other four teams in its conference.
The probability means that
, and four games means that 
If the games are independent, what is the probability the team wins all its conference games?
This is P(X = 4). So


0.3164 = 31.64% probability the team wins all its conference games
Answer:
(4,4)
Step-by-step explanation:
y = 2x - 4 -------eqn 1
4y = x + 12 ------eqn 2
From eqn 1 y = 2x - 4; insert in eqn 2
4 (2x-4) = x + 12 (open the bracket)
8x - 16 = x + 12 (taking like figures to the same side, sign changes)
8x - x = 12 + 16
7x = 28
x = 28/7
x = 4
From eqn 1
y = 2x - 4
y = 2(4) - 4
y = 8 - 4
y = 4
(x,y) = (4,4)
Answer: There are 980 degrees of freedom for the within subjects factor.
Step-by-step explanation:
Since we have given that
Number of groups = 20
Number of participants in each group = 50
So, number of participants in 20 groups is given by

As we know that
Degrees of freedom for the within subjects factor would be

Hence, there are 980 degrees of freedom for the within subjects factor.
Answer:
(6,2)
Step-by-step explanation: