Answer:
i think you got them right
Step-by-step explanation:
Answer: C.) The coefficient of determination is 0.215. 21.5% of the variation is explained by the linear correlation, and 78.5% is explained by other factors.
Step-by-step explanation:
Given that :
Number of observations = 40
Linear Correlation Coefficient (R) = 0.464
The Coefficient of determination ( R^2) =?
The Coefficient of determination (R^2) is the squared value of the linear correlation Coefficient value (R) . The value value ranges from 0 to 1 and depicts the proportion of the variation in the dependent variable that can be accounted for by the independent variable.
For the scenario given above,
The Coefficient of determination (R^2) = 0.464^2 = 0.215296 = (0.215296 * 100%) = 21.5%
This means that 21.5% of the variation can be explained by the relationship between both variables while (100% - 21.5% = 78.5%) can be explained by other factors.
Answer:56 a
Step-by-step explanation:
Hello!
x - 4 = 1/4(8x - 16)
Distribute the 1/4:
x - 4 = 1/4(8x) + 1/4(-16)
x - 4 = 2x - 4
Subtract x from both sides:
x - x - 4 = 2x - x - 4
-4 = x - 4
Add 4 to both sides:
-4 + 4 = x - 4 + 4
0 = x
Answer:
255.61 inch³
Step-by-step explanation:
Volume of sphere is given by
V = πr³
Given that the original sphere had a radius of 5 cm, and that this is enlarged by a scale factor of 2, the new radius is
r = 5 cm x 2 = 10 cm
since 1 cm = 0.3937 inches, (need to convert to inches)
10 cm = 3.937 inches
hence r = 3.937 inches
V = x π x 3.937³
= 255.61 inch³