Armorikam
2021-05-02
Answered

What type of data are required for the construction of a scatterplot, and what does the scatterplot reveal about the data?

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asked 2021-03-06

From the Statistical Abstract of the United States, we obtained data on percentage of gross domestic product (GDP) spent on health care and life expectancy, in years, for selected countries.
a) Obtain a scatterplot for the data.
b) Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)-(f).
c) Determine and interpret the regression equation for the data.
d) Identify potential outliers and influential observations.
e) In case a potential outlier is present, remove it and discuss the effect.
f) In case a potential influential observation is present, remove it and discuss the effect.

asked 2021-01-30

Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be a great danger to natural ecosystems. In a study by R. W. Risebrough titled “Effects of Environmental Pollutants Upon Animals Other Than Man” (Proceedings of the 6th Berkeley Symposium on Mathematics and Statistics, VI, University of California Press, pp. 443-463), 60 Anacapa pelican eggs were collected and measured for their shell thickness, in millimeters (mm), and concentration of PCBs, in parts per million (ppm).
a) Obtain a scatterplot for the data.
b) Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)–(f).
c) Determine and interpret the regression equation for the data.
d) Identify potential outliers and influential observations.
e) In case a potential outlier is present, remove it and discuss the effect.
f) In case a potential influential observation is present, remove it and discuss the effect.

asked 2021-06-08

Suppose you were to collect data for the pair of variables. You want to make a scatterplot. Which variable would you use as the explanatory variable and which as the response variable? Why? What would you expect to see in the scatterplot? Discuss the likely direction, form, and strength. College freshmen: shoe size, grade point average

asked 2021-01-02

Heights and mid-parent heights are given for 18 college students. Draw a scatterplot for the data, using different symbols for males and females as instructed in part (b). Based on the scatterplot, would you say that the correlation between height and mid-parent height is higher for the females in the sample or for the males? Or are the correlation values about the same for males and females?

asked 2021-11-17

Construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models.

The table li sts intensities of sounds as multiples of a basic reference sound. A scale similar to the decibel scale is used to measure the sound intensity.

$$\begin{array}{|cccccc|}\hline \text{Sound Intensity}& 316& 500& 750& 2000& 5000\\ \text{Scale Value}& 25.0& 27.0& 28.75& 33.0& 37.0\\ \hline\end{array}$$

The table li sts intensities of sounds as multiples of a basic reference sound. A scale similar to the decibel scale is used to measure the sound intensity.

asked 2021-06-28

Suppose you were to collect data for each pair of variables. You want to make a scatterplot. Which variable would you use as the explanatory variable and which as the response variable? Why? What would you expect to see in the scatterplot? Discuss the likely direction, form, and strength. Cars: weight of car, age of owner

asked 2021-01-13

For each set of data below, draw a scatterplot and decide whether or not the data exhibits approximately periodic behaviour.

a)

b)

c)

d)