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2 years ago

11

The residual plot for a data set is shown.

1 answer:

UNO [17]2 years ago

3 0

The true statement about the residual plot is (a) The regression line is a good model because there is no pattern in the residuals.

<h3>How to interpret the residual plot?</h3>

For a residual plot to be considered a good model, the points on the plot must be at random and they must not follow a specific pattern

From the graph, we can see that the points are scattered

Hence, the true statement about the residual plot is (a)

Read more about residual plots at:

brainly.com/question/9329287

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A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would b

nata0808 [166]

Answer:

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

$p = 0.1$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

We need a sample size of at least n, in which n is found M = 0.04.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.1*0.9}{n}}$

$0.04\sqrt{n} = 0.588$

$\sqrt{n} = \frac{0.588}{0.04}$

$\sqrt{n} = 14.7$

$(\sqrt{n})^{2} = (14.7)^{2}$

$n = 216$

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

7 0

4 years ago

A cone with height h and radius r has volume V = 13πr^2h. If the cone has a height of 6 in. and volume V = 8πx^2 + 24πx + 18π, w

torisob [31]

ANSWER

$r = x - \frac{3}{2}$

EXPLANATION

The volume of the cone is

$V=8\pi \: {x}^{2} + 24\pi \: x + 18\pi$

The height of the is 6 inches.

We put the values into the volume of cone to get.

$8\pi \: {x}^{2} + 24\pi \: x + 18\pi = \frac{1}{3} \times \pi \: {r}^{2} \times 6$

$8\pi \: {x}^{2} + 24\pi \: x + 18\pi = 2 \pi \: {r}^{2}$

Divide through by 2π.

$4 {x}^{2} + 12x + 9 = {r}^{2}$

The expression on the LHS is a perfect square trinomial.

$( {x - \frac{3}{2} })^{2} = {r}^{2}$

$r = x - \frac{3}{2}$

5 0

4 years ago

Read 2 more answers

In the figure below, if angle T measures 130 degrees, what is the measure of angle Q?

krek1111 [17]

Circle theorem:

The angle at the centre (T) is double the angle at the circumference (Q)

---> That also means that:

The angle at the circumference (Q) is <u>half</u> the angle at the centre (T)

Since T = 130 degrees;

Q = 130 divided by 2

= 65°

___________________________________

Answer:

∠Q = 65°

5 0

3 years ago

Read 2 more answers

The time t required to drive a certain distance varies inversely with the speed r. If it takes 2 hours to drive the distance at

SVETLANKA909090 [29]

3 hours and 20 minutes

6 0

3 years ago

Please I need help Please!!<br> Solve for x

qwelly [4]

Answer:

21+9=27+x

30=27+x

30-27=x

x = 3

7 0

3 years ago