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2 years ago

Andrea drew a regression line for this paired data set.

Mathematics

2 answers:

Tems11 [23]2 years ago

6 0

The equation of the line that passes through the points

(1,5) and (5,13) is y=2x+3

JulsSmile [24]2 years ago

6 0

Answer:

The correct option is 2.

Step-by-step explanation:

If a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

It is given that Andrea drew a regression line for this paired data set. Her line passed through (1, 5) and (5, 13) .

The equation of Andrea's regression line is

$y-5=\frac{13-5}{5-1}(x-1)$

$y-5=\frac{8}{4}(x-1)$

$y-5=2(x-1)$

$y-5=2x-2$

$y=2x-2+5$

$y=2x+3$

The equation of Andrea's regression line is y=2x+3. Therefore correct option is 2.

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Complete this expression using the distributive property

Aneli [31]

Answer:

5(4) + 5(8)

Step-by-step explanation:

Through destributive property, 5 is multiplied by both 4 and 8

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3 years ago

You have been given the task of transporting 3,000 apples 1,000 miles from Appleland to Bananaville. Your truck can carry 1,000

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3 years ago

Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random

Katen [24]

Answer:

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

Step-by-step explanation:

Given

$n = 200$

$x_1 = 34$ -- City C

$x_2 = 54$ --- City K

Required

Determine the 90% confidence interval

This is calculated using:

$CI = \bar x \± z\frac{\sigma}{\sqrt n}$

Calculating $\bar x$

$\bar x = \bar x_1 - \bar x_2$

$\bar x = \frac{x_1}{n} - \frac{x_2}{n}$

$\bar x = \frac{34}{200} - \frac{54}{200}$

$\bar x = 0.17 - 0.27$

For a 90% confidence level, the z-score is 1.65. So:

$z = 1.65$

Calculating the standard deviation $\sigma$

$\sigma = \sqrt{(\bar x_1)*(1 - \bar x_1) + (\bar x_2)*(1 - \bar x_2) }$

So:

$\sigma = \sqrt{(0.17)*(1 - 0.17) + (0.27)*(1 - 0.27) }$

$\sigma = \sqrt{(0.17)*(0.83) + (0.27)*(0.73)}$

So:

$CI = (0.17 - 0.27)\± 1.65\frac{\sqrt{(0.17)*(0.83) + (0.27)*(0.73)}}{\sqrt {200}}$

$CI = (0.17 - 0.27)\± 1.65\sqrt{\frac{(0.17)*(0.83) + (0.27)*(0.73)}{200}}$

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2 years ago

The area of a square poster is 31 square inches. find the length of one side of the poster. Explain

kobusy [5.1K]

Answer:

5.57

Step-by-step explanation:

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3 years ago

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3 years ago