A scatter plot of the U.S. national debt from 2001 to 2016, including a linear equation and its residuals modeling the data, is shown. Which statement correctly interprets the scatter plot?

The scatter plot shows a strong positive correlation.

The scatter plot shows a weak positive correlation.

The scatter plot shows a weak and negative correlation.

The scatter plot shows a strong negative correlation.

A function is given $$h\left(x\right)=\frac{1}{5}x^2$$ How can $$h\left(15\right)$$ be evaluated?

by multiplying $$\frac{1}{5}$$ by the square of 15

by multiplying the square of $$\frac{1}{5}$$ by the square of 15

by multiplying $$\frac{1}{5}$$ by the square of 15, then dividing by 15

by multiplying the square of $$\frac{1}{5}$$ by the square of 15, then dividing by 15

The equation of a linear function, $$q,$$ and a table of values of a linear function, $$r,$$ are shown. Which statement correctly compares the slopes and y-intercepts of the two functions?

Function $$r$$ has a lesser y-intercept and a slope that is 3 times the slope of function $$q.$$

Function $$r$$ has a lesser y-intercept and a slope that is 2 times the slope of function $$q.$$

Function $$r$$ has a greater y-intercept and a slope that is 2 times the slope of function $$q.$$

Function $$r$$ has a greater y-intercept and a slope that is 3 times the slope of function $$q.$$

The graph of $$y=f\left(x\right)$$ and a table of values for an exponential function $$y=g\left(x\right)$$ are shown. Which statement correctly compares the graphs of the functions?

As the values of $$x$$ increase, $$g\left(x\right)$$ will eventually be greater than $$f\left(x\right).$$

As the values of $$x$$ increase, $$f\left(x\right)$$ will eventually be greater than $$g\left(x\right).$$

The value of the y-intercept of $$y=f\left(x\right)$$ is greater than the value of the y-intercept of $$y=g\left(x\right).$$

The value of the y-intercept of $$y=g\left(x\right)$$ is greater than the value of the y-intercept of $$y=f\left(x\right).$$

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A scatter plot of the U.S. national debt from 2001 to 2016, including a linear equation and its residuals modeling the data, is shown.Which statement correctly interprets the scatter plot?

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A scatter plot of the U.S. national debt from 2001 to 2016, including a linear equation and its residuals modeling the data, is shown.
Which statement correctly interprets the scatter plot?