Answer:
a) ρ (X,Y) = 0.125
b) The linear relationship is weak because ρ (X,Y) is almost 0
c) There is a positive linear relationship because ρ (X,Y) > 0
Step-by-step explanation:
The Pearson correlation coefficient is calculate as :
ρ (X,Y) = (σXY) / (σX)(σY)
-1 ≤ ρ ≤ 1
When ρ = 0 there is no linear relationship between the variables. This does not mean that the variables are independent.
When ρ = 1 the linear relationship is perfect positive. ρ = 1 means a direct relation between X and Y : When X increases also Y increases in constant proportion. When Y increases also X increases in constant proportion.
When ρ = -1 the linear relationship is perfect negative. ρ = -1 means a inverse relation between X and Y : When X increases Y decreases in constant proportion. When Y increases X decreases in constant proportion.
In our exercise ρ (X,Y) = 13.44 / (15.57)(6.90) = 0.125
a) ρ (X,Y) = 0.125
b) The linear relationship is weak because ρ (X,Y) is almost 0
c) There is a positive linear relationship because ρ (X,Y) > 0
The solution is (-1,-3), it is where the two lines meet.
Step-by-step explanation:
At first you need to take its lateral surface area by using the perimeter of base of the triangle and the height of prism.
Then after calculating it you need to find out its total surface area which is asked in the question and that is calculated by adding the area of both triangles of the prism in the lateral surface area.
Then that's your answer.
Answer:
The total distance around the canvas painting is 60 cm.
Step-by-step explanation:
The total distance around the canvas painting is 60 cm, we know this because, to find the perimeter of a square you add the length of all 4 sides together. To find the length of 1 side we take the square root of the area which is 196 cm², this equals 14 cm. To find the perimeter we add all 4 sides together, so 14+14+14+14=60 cm.
The answer is the first one because 4 feet 5 inches times 40 is 176 feet and 8 inches
