Describe about the three positive relationships of Scatterplots?

Unusual points Each of the four scatterplots that follow shows a cluster of points and one “stray” point. For each, answer these questions:
1) In what way is the point unusual? Does it have high leverage, a large residual, or both?
2) Do you think that point is an influential point?
3) If that point were removed, would the correlation be- come stronger or weaker? Explain.
4) If that point were removed, would the slope of the re- gression line increase or decrease? Explain

Make a scatterplot of the data. Use 87 for 1987.

$\begin{array}{|cc|}\hline \text{ Year }& \text{ Sales }\\ & \text{ (millions of dollars) }\\ 1987& 300\\ 1988& 345\\ 1989& 397\\ 1990& 457\\ 1991& 510\\ 1992& 587\\ 1993& 664\\ 1994& 700\\ 1995& 770\\ 1996& 792\\ 1997& 830\\ 1998& 872\\ 1999& 915\\ \hline\end{array}$

When two targets are presented close together in a rapid visual stream, the second target is often missed. Psychologists call this phenomenon the attentional blink (AB). A study published in Advances in Cognitive Psychology (July 2013) investigated whether simultaneous or preceding sounds could reduce AB. Twenty subjects were presented a rapid visual stream of symbols and letters on a computer screen and asked to identify the first and second letters (the targets). After several trials, the subject's AB magnitude was measured as the difference between the percentages of first target and second target letters correctly identified. Each subject performed the task under each of three conditions. In the Simultaneous condition, a sound (tone) was presented simultaneously with the second target; in the Alert condition, a sound was presented prior to the coming of the second target; and in the No-Tone condition, no sound was presented with the second target. Scatterplots of AB magnitude for each possible pair of conditions are shown below as well as the least squares line for each.

a. Which pair of conditions produces the least squares line with the steepest estimated slope?

b. Which pair of conditions produces the least squares line with the largest SSE?

c. Which pair of conditions produces the least squares line with the smallest estimate of $\sigma$?

How can two variables be displayed in a scattergram?

Construct a scatterplot and identify the mathematical model that best fits the given data.

Which set of ordered pairs could be generated by an exponential function?
A. ${\displaystyle (-1,-\frac{1}{2})}$, (0, 0),${\displaystyle (1,\frac{1}{2})}$, (2, 1)
B. (–1, –1), (0, 0), (1, 1), (2, 8)
C. ${\displaystyle (-1,\frac{1}{2})}$, (0, 1), (1, 2), (2, 4)
D. (–1, 1), (0, 0), (1, 1), (2, 4)

At a family reunion, each family member recorded his or her age and height. a. Fully describe the association. b. Copy the scatterplot and draw the trend line. Does your y-intercept make sense in this problem situation?