The table below shows the surface area y, in square feet, of a shrinking lake in x days:

1 answer:

6 0

Based on the data, the most likely correlation coefficient would be -1.
The slope between 20 and 30 days is -1, and it represents the change in the surface area of the lake per day.
The data represents correlation, not causation.

Since the data would form a perfectly straight line through the points, the correlation coefficient would be -1 for a perfect decreasing fit.
To find the slope, find the change in the surface area between those days, the change in the days, and write it as surface area/days: 80-90=-10; 30-20=10; -10/10=-1
This is not causation because there could be lurking variables we cannot see.

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the logarmithmic functions, f(x)=logx and g(x), are shown on the graph. what is the equation that represents g(x)? explain.

mestny [16]

Answer:

g(x) = log(x+1) + 4

Step-by-step explanation:

If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).

The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.

Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.