the crack on the liberty Bell is approximately 24.5 inches long. if a model of the liberty bell uses a scale of 3 inches = 5 fee
1 answer:
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Answer:
Step-by-step explanation:
The question is
<em>We let , so the equation becomes:</em>
Where
Putting it in the quadratic formula, we have:
<u>Quadratic formula:</u>
Substituting we have:
<em>We let , so x is:</em>
<em></em>
<em>and</em>
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The solutions of the equation is (rounded to 2 decimal places), and
(rounded to 2 decimal places)
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!