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3 years ago

3k-7/5 = 16 what is does k equal?

Mathematics

1 answer:

Gnom [1K]3 years ago

3 0

3k=16+7/5
3k=87/5
k=29/5

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If y = 8 when x<br> 8 when x = 3, find y when x = 45.

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Answer:

y = 120

Step-by-step explanation:

y = kx ur finding k

8 = k 3 get k alone by dividing both sides by 3 --> 8/3 = k

k = 8/3

Y = 8/3 45 now your finding Y when x is 45

Y = 120

to make sure do 120 = 8/3 45 should equal the same

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A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: ŷ = 13

Lunna [17]

Answer:

$y=6x +135$

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

Step-by-step explanation:

We assume that they use least squares in order to create the regression equation

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

And the slope would be:

$m=6$

The means for x and y are given by:

$\bar x= \frac{\sum x_i}{n}$

$\bar y= \frac{\sum y_i}{n}$

And we can find the intercept using this:

$b=\bar y -m \bar x$

For this case we know that the line adjusted is:

$y=6x +135$

And for this case the interpretation for the slope would be that for every unit that the height in inches increase then the weight in pounds increase 6 units.

For the intercept of 135 represent the amount initial amount of weight for the scale.

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4 years ago