The answer is most likely 8.
Answer: 64% of the variability in weight can be explained by the relationship with height.
Step-by-step explanation:
- In statistics, Correlation coefficient is denoted by 'r' is a measure of the strength of the relationship between two variables.
- Coefficient of determination,
, is a measure of variability in one variable can be explained variation in the other.
Here, r= 0.80

That means 64% of the variability in weight can be explained by the relationship with height.
Answer:
Step-by-step explanation:
Pretend you see a right triangle here. From the lower end of the line go up 5 and you will be on the same horizontal as the upper end of the line. Go over 6 units and you close your triangle. This is a right triangle with legs 5 and 6 units long. We are looking for the hypotenuse of this triangle. Use Pythagorean's Theorem:

25 + 36 = ??² and
61 = ??² so
?? = √61
Answer:
Step-by-step explanation:
This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr
i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.
I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.
Recall that

Consider question a) we are given (5 1) or ₅C₁
we can see that n = 5 and r = 1
If we substitute this into the formula:
₅C₁ = (5!) / [ (1!)(5- 1)!]
= (5!) / [ (5- 1)!]
= (5!) / (4!)
= (5·4·3·2·1) / (4·3·2·1)
= 5
hence ₅C₁ = 5
Answer:
r = 11/2
Step-by-step explanation:
m = slope
slope, m = (y2 - y1)/(x2 - x1)
-4 = (7 - 9)/(r - 5)
cross multiply
-4(r - 5) = 7 - 9
clearing brackets
-4r + 20 = -2
-4r = -22
r = 22/4 = 11/2