Answer:
answer ia solved in the given picture
A student inscribes a triangle within a semicircle. What is the measure of ∠XYZ?
2 answers:
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Answer:
Step-by-step explanation:
Hello!
You need to test the hypothesis that the slope of the regression is cero.
I've run in the statistic software the given data for Y and X and estimated the regression line:
Yi= 7.82 -1.60Xi
Where
a= 7.82
b=-1.60
Sb= 3.38
The hypothesis is:
H₀: β = 0
H₁: β ≠ 0
α: 0.05
This is a two-tailed test, the null hypothesis states that the slope of the regression is cero, this means that if the null hypothesis is true, there is no linear regression between Y and X.
The statistic for this test is a Student-t
t= <u> b - β </u> ~t
Sb
The critical values are:
Left:
Right:
t= <u>-1.60 - 0 </u>= -0.47
3.38
the p-value is also two-tailed, you can calculate it by hand:
P(t ≤ -0.47) + (1 - P(t ≤ 0.47) = 0.3423 + (1 - 0.6603) =0.6820
With the level of significance of 5%, the decision is to not reject the null hypothesis. This means that the slope of the regression is equal to cero, i.e. there is no linear regression between the two variables.
I hope this helps!
Answer:
f = [C - 4(h - p)] grams
Step-by-step explanation:
Given that:
C = 4h + 9f + 4p
where: C is the calorie count contained in the serving, h is the number of grams of carbohydrate contained in the serving, f is the number of grams of fat contained in the serving, and p is the number of grams of protein contained in the serving.
To solve for the number of grams of fat, then;
C - 4h - 4p = 9f
C - 4(h - p) = 9f
Divide through by 9, so that:
=
= f
∴ f = [C - 4(h - p)]
The number of grams of fat, f, contained in a serving of food is [C - 4(h - p)]