Mathematics, 11.02.2021 21:20 nathanb29oue8gj

Find the equation of the regression line that relates the variable you chose in question 3 (use this variable as the x-value) to the total weight of discarded garbage (use this variable as the y-value). Write your equation in y = mx + b form, and round your values of m and b to two decimal places.

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Answer from: carrietaylor234

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Step-by-step explanation:

The question has missing details as no link is provided to the "question 3".

However, I'll give a worked solution on how to calculate the equation of a regression line.

Using the following data:

$\begin{array}{cc}x & {y} & {43} & {99} & {21} & {65} \ \\ {25} & {79} & {42} & {75} \ \end{array}$

Calculate the equation of the regression line.

The equation is calculated using:

y = mx + b

Where:

$m = \frac{n(\sum xy ) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}$

and

$b = \frac{(\sum y)(\sum x^2) - (\sum x)(\sum xy)}{n(\sum x^2) - (\sum x)^2}$

So, first we fill in the table with columns x^2, y^2 and xy

$\begin{array}{ccccc}x & {y} & {xy} & {x^2} & {y^2 }& {43} & {99} & {4257} & {1849} & {9801} & {21} & {65} &{1365} &{441} & {4225}\ \\ {25} & {79} & {1975} & {625} & {6241}& {42} & {75} &{3150} & {1764} & {5625}\ \end{array}$

From the above table.

$\sum x = 43+21+25+42$

$\sum x = 131$

$\sum y = 99+65+79+75$

$\sum y = 318$

$\sum xy = 4257+1365+1975+3150$

$\sum xy = 10747$

$\sum x^2 = 1849 + 441 + 625 + 1764$

$\sum x^2 = 4679$

$\sum y^2 = 9801 + 4225 + 6241 + 5625$

$\sum y^2 = 25892$

n =4

Solving for m

$m = \frac{n(\sum xy ) - (\sum x)(\sum y)}{n(\sum x^2) - (\sum x)^2}$

$m = \frac{4 * 10747 - 131*318}{4*4679 -(131)^2}$

$m = \frac{1330}{1555}$

m = 0.86 --- approximated

Solving for b

$b = \frac{(\sum y)(\sum x^2) - (\sum x)(\sum xy)}{n(\sum x^2) - (\sum x)^2}$

$b = \frac{318*4679 - 131*10747}{4*4679-131^2}$

$b = \frac{80065}{1555}$

b = 51.49

The equation becomes:

y = mx + b

y = 0.86x + 51.49

Apply the above steps and you will arrive at a solution.

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

Answer from: Quest

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