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3 years ago

When a trend line is drawn on a scatterplot, there are 4 points above the trend line. About how many points should be below the

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

3 0

Answer: About 4 points should be below the trend line.

Step-by-step explanation: A Scatter Plot has points that shows the relationship between two sets of data.

A line of best fit or trend line is a straight line that best represents the data on a scatter plot.

This line may pass through some of the points, none of the points, or all of the points.

But its objective is to have the line as close as possible to all points, and as many points above the line as below.

As there are 4 points above the trend line, so there should be 4 points below that.

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It was recently estimated that females outnumber males by about three or two. If there are 1770 people in a county, how many of

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GIVEN

1) Females outnumber males by 3 to 2.

2) There are 1770 people in the city.

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Let the number of males be x and the number of females y. Therefore, the total number of people can be written to be:

$x+y=1770\text{ -----------(1)}$

If there are 3 females for every 2 males, we have that:

$\begin{gathered} \frac{y}{3}=\frac{x}{2} \\ \therefore \\ x=\frac{2y}{3}\text{ ----------(2)} \end{gathered}$

We can substitute equation (2) into equation (1) and solve for y:

$\begin{gathered} \frac{2}{3}y+y=1770 \\ \frac{2y+3y}{3}=1770 \\ 5y=1770\times3 \\ 5y=5310 \end{gathered}$

Dividing both sides by 5, we have

$y=1062$

There are 1062 females in the county.

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