Scatter Plots Explained

In 2014, the Pew Research Centers American Trends Panel sought to better understand what Americans know about science. It was observed that among a random selection of 3278 adults, 2065 adults could correctly interpret a scatterplot. Is this good evidence that more than 60% of Americans are able to correctly interpret scatterplots?

Straight Lines Graph the straight lines in Exercises 1–3.
Then find the change in y for a one-unit change in x, find the point at which the line crosses the y-axis, and calculate the value of y when x 52.5.
1. $yx512.00.5$
2. $yx514036.2$
3. $yx5256$
Scatterplots For the scatterplots in Exercises 5 describe the pattern that you see. How strong is the pattern? Do you see any outliers or clusters?

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How to how to interpret scatterplots?

What kind of plot is useful for deciding whether it is reasonable to find a regression to find a regression plane for a set of data points involving several predictor variables?

Using the health records of ever student at a high school, the school nurse created a scatterplot relating ${\displaystyle y=\text{height (in centimeters) to}x=\text{age (in years).}}$
${\displaystyle \text{After verifying that the conditions for the regression model were met, the nurse calculated the equation of the population regression line to be}{\mu }_0=105+4.2x\text{with}\sigma =7cm.}$ About what percent of 15-year-old students at this school are taller than 180 cm?

Two scatterplots are shown below.
Scatterplot 1
A scatterplot has 14 points.
The horizontal axis is labeled "x" and has values from 30 to 110.
The vertical axis is labeled "y" and has values from 30 to 110.
The points are plotted from approximately (55, 60) up and right to approximately (95, 85).
The points are somewhat scattered.
Scatterplot 2
A scatterplot has 10 points.
The horizontal axis is labeled "x" and has values from 30 to 110.
The vertical axis is labeled "y" and has values from 30 to 110.
The points are plotted from approximately (55, 55) steeply up and right to approximately (70, 90), and then steeply down and right to approximately (85, 60).
The points are somewhat scattered.
Explain why it makes sense to use the least-squares line to summarize the relationship between x and y for one of these data sets but not the other.
Scatterplot 1 seems to show a relationship between x and y, while Scatterplot 2 shows a relationship between the two variables. So it makes sense to use the least squares line to summarize the relationship between x and y for the data set in , but not for the data set in .

Which of these shows the strongest correlation?

Sketch a scatterplot in which the presence of an outlier decreases the observed correlation between the response and explanatory variables. Indicate on your plot which point is the outlier.

We have to explain the relationship between employee performance 01 and employee performance 02 using the scater plot

The value of s alone doesn't reveal information about the form of an association. Sketch a scatterplot showing a nonlinear association with a small value of s and a second scatterplot showing a linear association with a large value of s.

Sketch a scatterplot showing data for which the correlation is [r = -1].

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)

Which two of the four scatter plots have most positive correlation and closer to zero correlation

Answer true or false to the following statements and explain your answers.
a. In multiple linear regression, we can determine whether we are extrapolating in predicting the value of the response variable for a given set of predictor variable values by determining whether each predictor variable value falls in the range of observed values of that predictor.
b. Irregularly shaped regions of the values of predictor variables are easy to detect with two-dimensional scatterplots of pairs of predictor variables, and thus it is easy to determine whether we are extrapolating when predicting the response variable.

You can use a scatterplot to estimate a value between two known values. Estimate the world production of oil when the United States produced 12% of the worlds

Matching Here are several scatterplots. The calculated correlations are -0.923, -0.487, 0.006, and 0.777.
Which is which?