Armorikam
2021-02-22
Answered

Use the technology of your choice to do the following tasks.
In the article “Statistical Fallacies in Sports” (Chance, Vol. 19, No. 4, pp. 50-56), S. Berry discussed, among other things, the relation between scores for the first and second rounds of the 2006 Masters golf tournament. You will find those scores on the WeissStats CD. For part (d), predict the secondround score of a golfer who got a 72 on the first round.
a) Construct and interpret 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.
d) Make the indicated predictions.
e) Compute and interpret the correlation coefficient.
f) Identify potential outliers and influential observations.

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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

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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 2021-08-07

\(\begin{array}{}
x&2761&19764&25713&3980&12782&19008\\
y&1553&14999&32813&1667&8741&16526 \\
x&20782&19028&14397&9606&3905&25731\\
y&26770&16526&9868&6640&1220&30730 \\
\end{array}\)

The standardized residuals resulting from fitting the simple linear regression model (in the same order as the observations) are .98, -1.57, 1.47, .50, -.76, -.84, 1.47, -.85, -1.03, -.20, .40, and .81. Construct a plot of e* versus x and comment. [Note: The model fit in the cited article was not linear.]

asked 2020-12-07

Make a scatterplot of the data with two new points added.

a)$10\mathrm{\%}$ return, 25 new birds.

b)$40\mathrm{\%}$ return, 5 new birds.

Find two new correlations: for the original data plus Point A and for the original data plus Point B.

a)

b)

Find two new correlations: for the original data plus Point A and for the original data plus Point B.

asked 2021-02-21

How important are birdies (a score of one under par on a given golf hole) in determining the final total score of a woman golfer? From the U.S. Women’s OpenWeb site, we obtained data on number of birdies during a tournament and final score for 63 women golfers. The data are presented on the WeissStats CD.
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.