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:
0.00
Step-by-step explanation:
If the national average score on a standardized test is 1010, and the standard deviation is 200, where scores are normally distributed, to calculate the probability that a test taker scores at least 1600 on the test, we should first to calculate the z-score related to 1600. This z-score is
, then, we are seeking P(Z > 2.95), where Z is normally distributed with mean 0 and standard deviation 1. Therefore, P(Z > 2.95) = 0.00
Answer:
There are 46 more skiers than snowboarder
Step-by-step explanation:
Given
Ratio of Snowboarders to Skiers
On Friday:

On Saturday:

Population = 168
Required
Determine the difference in the number of skiers and snowboarders on Saturday
On Saturday, we have

Calculate Total


Calculate the number of skiers


(Approximated)
Calculate the number of snowboarders


(Approximated)
Calculate the difference


<em>Hence, there are 46 more skiers than snowboarder</em>
Answer:
Around 24 degrees
Step-by-step explanation:
*Make sure calculator is on degree mode*
Try to draw out triangle--it helps
Need to use law of sines... this is where an angle and the side that opposes it are equal to each other. For example, Angle U is equal to 9.7

Multiply 4 and sin90 and then divide the product by 9.7
Use
on calculator to convert the answer into degrees