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alexgriva [62]
3 years ago
8

15. Which of the following statements is true? a. If the calculated value of F statistic is higher than the critical value, we r

eject the alternative hypothesis in favor of the null hypothesis. b. The F statistic is always nonnegative as SSRr is never smaller than SSRur. c. Degrees of freedom of a restricted model is always less than the degrees of freedom of an unrestricted model. d. The F statistic is more flexible than the t statistic to test a hypothesis with a single restriction
Mathematics
1 answer:
quester [9]3 years ago
4 0

Answer:

c) is true

Step-by-step explanation:

Given are four statements. Let us check one by one

a) If the calculated value of F statistic is higher than the critical value, we reject the alternative hypothesis in favor of the null hypothesis

False, we reject H0 in favour or alternate

b) The F statistic is always nonnegative as SSRr is never smaller than SSRur.

F statistics is non negative but reason is bot SSRr and SSRur are positive

Not because SSRr is never smaller than SSRur

c) Degrees of freedom of a restricted model is always less than the degrees of freedom of an unrestricted model.

This is true because in a restricted we put constraints thus df will be less

d) The F statistic is more flexible than the t statistic to test a hypothesis with a single restriction.

False.  F statistic is for testing variances while t statistic for means.

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write an equation of a line that is perpendicular to the given line and that passes through the given point (4,-6); m=3/5
tresset_1 [31]

Answer:

y=-\frac{5}{3} x-\frac{42}{5}

Step-by-step explanation:

Given the slope and another point, simply plug them into the point-slope formula to find your y-intercept.

y-y1=m(x-x1)\\y-(-6)=\frac{3}{5} (x-4)\\y+6=\frac{3}{5} x-\frac{12}{5} \\y=\frac{3}{5} x-\frac{42}{5}

Now that we've found your y-intercept, we have the original equation. To find the perpendicular equation, you need the opposite reciprocal of your slope.

To find the 'opposite,' change your slope's sign. Since your slope is positive \frac{3}{5}, the opposite is -\frac{3}{5}.

To find the 'reciprocal,' flip your fraction. This will make your slope -\frac{5}{3}.

Your final equation is:

y=-\frac{5}{3} x-\frac{42}{5}

7 0
3 years ago
Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (Enter your answers as a comma-
coldgirl [10]

Answer:

c is all the points in the open interval (0,25)

Step-by-step explanation:

Here given is a function

f(x) =x, which is continuous  in the interval [0,25] and differentiable in (0,25)

Mean value theorem says there exists at least one c in the interval (0,25) such that

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We have

f(25)=25 and f(0) = 0\\f'(c) = 1

For the given function

f'(x) =1

Hence we have c equals all the points in the open interval (0,25)

7 0
3 years ago
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Elodia [21]

Answer:

OD = 9.375"

Step-by-step explanation:

We can draw a line from O to B to create a triangle.

Then, Triangle ODB and Triangle ACB are similar, so their corresponding side's ratio are similar as well.

Triangle ACB, we can use pythagorean theorem to figure out CB:

AC^2 + CB^2 = AB^2

15^2 + CB^2 = 17^2

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CB = 8

Now relating the corresponding sides, we can figure out OD:

\frac{OD}{DB}=\frac{AC}{CB}\\\frac{OD}{8-3}=\frac{15}{8}\\\frac{OD}{5}=\frac{15}{8}\\8OD=5*15\\OD=\frac{5*15}{8}\\OD=9.375

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Step-by-step explanation:

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