Answer:
Step-by-step explanation:
Hello!
Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.
The population equation line is
E(Y)= β₀ + β₁X
Using the information of a n= 100 sample, the following data was calculated:
R²= 0.23
Coefficient Standard Error
Intercept 25675.5 11393
x 5321 2119
The estimated equation is
^Y= 25675.5 + 5321X
Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:
H₀: β = 0
H₁: β ≠ 0
There are two statistic you can use to make this test, a Student's t or an ANOVA F.
Since you have information about the estimation of β you can calculate the two tailed t test using the formula:
~
= 25.1109
The p-value is two-tailed, and is the probability of getting a value as extreme as the calculated 
under the distribution 
p-value < 0.00001
I hope it helps!
Answer:
The distance the fish pulled the fishing line is <u>401.92 cm.</u>
Step-by-step explanation:
Given:
Radius of fishing spool = 4 cm.
Fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.
Now, to find the distance the fish pulled the fishing line.
So, to get the circumference of the spool first we put formula:
Radius(r) = 4 cm.
Value of π = 3.14.
<em>As given, fish pulled on the line, and the spool spun 16 times before Bilal began to reel in the fish.</em>
Now, to get the distance the fish pulled the fishing line, we multiply 16 with the circumference:
Therefore, the distance the fish pulled the fishing line is 401.92 cm.
5+ 4e = -7 is the correct answer.
Step-by-step explanation:
I need more information, there isnt enough to solve this problem
Answer: Juan walks 246,176 yards around the circular path.
To find the distance around the circular path, we are looking for the circumference. The formula for the circumference is: C = pi(r^2).
Simply plug in the radius and evaluate the expression.
C = 3.14(280^2)
C = 3.14(78400)
C = 246,176 yd
