What is the approximate line of best fit for the scatter plot

Mathematics

1 answer:

ch4aika [34]3 years ago

3 0

Answer:

The first one, or y= -x + 8

Step-by-step explanation:

You can rule out the last one, because there is no y intercept. If there was no y intercept, the dots would be passing through the origin (0).

The one with -8 is not right because the y intercept is positive 8. If you count on the y axis (up 8), it matches with the overall direction of the line.

The line/ slope of this scatter plot is negative, so the only one that makes sense would be the first one. Going up and from right to left is a positive slope. Going down from left to right is a negative slope.

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See bolded below.

Step-by-step explanation:

Take a look at the attachment below. It represents circle x and y, with respect to each of their radii. In each of the options we are given, we would have to translate and dilate the circles, by a fixed scale factor -

Now the first thing one would do is translate the circles so that they share a common center point, or in other words the center of one circle rests on the edge of the other circle. That way when dilating circle y, it may fit into circle x as it expands.

The second point is how much this smaller circle ( circle y ) has to expand. The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,

<u><em>Solution = " Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3 " / Option D</em></u>