Answer:
The residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.
Step-by-step explanation:
In regression, the difference between the observed value of the dependent variable (<em>y</em>) and the predicted value (
) is known as the residual (<em>e</em>).

The least square regression line is used to predict the value of the response or dependent variable (<em>y</em>) from the known value of the explanatory or independent variable (<em>x</em>).
The general form of a least square regression line is:

The equation of the least squares regression line to predict the relationship between age (in years) and proportion of blackness in the lion’s nose is:

Compute the predicted value of <em>y</em> for <em>x</em> = 0.11 as follows:


The predicted value of <em>y</em> is,
.
The observed value of the age of lion whose nose is 11% black is, <em>y</em> = 1.90.
Compute the residual age of this lion as follows:


Thus, the residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.
Answer:
15% of the teas are caffeinated
Step-by-step explanation:
Use the formula:
part/whole = t/100%
where t will be representing the percent of caffeinated tea.
Plug in the given to the formula shown above:
9/60 = t/100
Solve using cross product
(9 x 100) = (60 x t)
900/60 = 60t/60
15 = t
Answer:
slope: 7
y intercept (0 , 0)
Step-by-step explanation:
y = 7x
equation of line: y = mx + b m: slope b: y intercept
slope = 7
y intercept: 0 (0 , 0)
Answer:
r = 12
Step-by-step explanation:
using the formula
d = 2 r
solving for r
r = d/2= 24/2=12