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Cloud [144]
4 years ago
5

Using the slope of 7 and y-intercept of (0, 16), write an equation of the line

Mathematics
1 answer:
Katen [24]4 years ago
6 0

Answer:

y = 7x + 16

Step-by-step explanation:

Slope (m) = 7

y - intercept (b) = 16..{from (0, 16)}

Equation of line in slope intercept form is given as:

y = mx + b \\  \therefore \: y = 7 \times x + 16 \\   \huge \red{ \boxed{ \therefore \: y = 7 x + 16 }}

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<h3>Answer: B)  2.9  approximately</h3>

==================================================

Explanation:

The weird or fancy looking E symbol is the greek uppercase letter sigma. It is effectively the english version of S to represent summation. So we add up all the (x-\overline{x})^2 terms to get this. Luckily this has already been done for us in the table where they wrote "sum = 34", so \sum(x-\overline{x})^2 = 34

From here, we substitute this into the formula, along with n = 5 since there are 5 items in the original list

So,

s = \sqrt{\frac{1}{n-1}\sum(x-\overline{x})^2} \\\\s = \sqrt{\frac{1}{5-1}*34} \\\\s = \sqrt{\frac{1}{4}*34} \\\\s = \sqrt{0.25*34} \\\\s = \sqrt{8.5} \\\\s \approx 2.91547594742266 \\\\s \approx 2.9 \\\\

This computes the sample standard deviation. To get the population standard deviation, you'd basically change the "n-1" to simply "n", and the rest of the formula is identical.

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