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:
30%
Step-by-step explanation:
Total population=15,000
kantipur=9000
gorkhapatra= 7500
Both magazine=40%
n(k intersection g)=40% of 15,000
=0.4*15,000
=6,000
n(k) =9000
n(g)=7500
n(A union B)= n(k) + n(g) -n(k intersection g)
=9000+7500-6000
=10,500
Population who do no read= Total population - n(A union B)
=15000-10500
=4500
Percentage population who do not read both magazine
=4,500/15,000 * 100
=0.3 * 100
=30%
Answer:
$847
Step-by-step explanation:
Answer: The last option.
Step-by-step explanation:
1. By definiton, the rotation rule 90° about the origin is:
(x,y)⇒(-y,x)
2. You know that the coordinates of triangle X'Y'Z' are the following:
X'(-2,2)
Y'(0,6)
Z'(1,1)
3. Now, when you apply the rule, you obtain that the coordianates of the pre-image are the following:
X(2,2)
Y(6,0)
Z(1,-1)
Therefore, the answer is the last option.