Step 1
The recentage return is on the horizontal axis and the new birds are on the vertical axis.
Step 2
Correlation coefficient for the original data including point A.
Find \(\displaystyle{X}\ \cdot\ {Y},\ {X}^{{{2}}}\ {\quad\text{and}\quad}\ {Y}^{{{2}}}\) as it was done in the table below.
\(\begin{array}{|c|c|}\hline X & Y & X\ \cdot\ Y & X\ \cdot\ X & Y\ \cdot\ Y\ \\ \hline 74.0000000000000 & 5.00000000000000 & 370 & 5476 & 25 \\ \hline 66.0000000000000 & 6.00000000000000 & 396 & 4356 & 36 \\ \hline 81.0000000000000 & 8.00000000000000 & 648 & 6561 & 64 \\ \hline 52.0000000000000 & 11.0000000000000 & 572 & 2704 & 121 \\ \hline 73.0000000000000 & 12.0000000000000 & 876 & 5329 & 144 \\ \hline 62.0000000000000 & 15.0000000000000 & 930 & 3844 & 225 \\ \hline 52.0000000000000 & 16.0000000000000 & 832 & 2704 & 256 \\ \hline 45.0000000000000 & 17.0000000000000 & 765 & 2025 & 289 \\ \hline 62.0000000000000 & 18.0000000000000 & 1116 & 3844 & 324 \\ \hline 46.0000000000000 & 18.0000000000000 & 828 & 2116 & 324 \\ \hline 60.0000000000000 & 19.0000000000000 & 1140 & 3600 & 361 \\ \hline 46.0000000000000 & 20.0000000000000 & 920 & 2116 & 400 \\ \hline 38.0000000000000 & 20.0000000000000 & 760 & 1444 & 400 \\ \hline 10.0000000000000 & 25.0000000000000 & 250 & 100 & 625 \\ \hline \end{array}\)
Find the sum of every column to get:
\(\displaystyle\sum\ {X}={767},\ \sum\ {Y}={210},\ \sum\ {X}\ \cdot\ {Y}={10403},\ \sum\ {X}^{{{2}}}={46219},\ \sum\ {Y}^{{{2}}}={3594}\)
Use the following formula to work out the correlation coefficient.
\(\displaystyle{r}={\frac{{{n}\ \cdot\ \sum\ {X}{Y}\ -\ \sum\ {X}\ \cdot\ \sum\ {Y}}}{{\sqrt{{{\left[{n}\ \sum\ {X}^{{{2}}}\ -\ {\left(\sum\ {X}\right)}^{{{2}}}\right]}\ \cdot\ {\left[{n}\ \sum\ {Y}^{{{2}}}\ -\ {\left(\sum\ {Y}\right)}^{{{2}}}\right]}}}}}}\)
\(\displaystyle{r}={\frac{{{14}\ \cdot\ {10403}\ -\ {767}\ \cdot\ {210}}}{{\sqrt{{{\left[{14}\ \cdot\ {46219}\ -\ {767}^{{{2}}}\right]}\ \cdot\ {\left[{14}\ \cdot\ {3594}\ -\ {210}^{{{2}}}\right]}}}}}}\ \approx\ -{0.8071}\)
Step 3
Correlation coefficient for the data including point B.
Find \(\displaystyle{X}\ \cdot\ {Y},\ {X}^{{{2}}}\ {\quad\text{and}\quad}\ {Y}^{{{2}}}\) as it was done in the table below.
\(\begin{array}{|c|c|}\hline X & Y & X\ \cdot\ Y & X\ \cdot\ X & Y\ \cdot\ Y\ \\ \hline 74.0000000000000 & 5.00000000000000 & 370 & 5476 & 25 \\ \hline 66.0000000000000 & 6.00000000000000 & 396 & 4356 & 36 \\ \hline 81.0000000000000 & 8.00000000000000 & 648 & 6561 & 64 \\ \hline 52.0000000000000 & 11.0000000000000 & 572 & 2704 & 121 \\ \hline 73.0000000000000 & 12.0000000000000 & 876 & 5329 & 144 \\ \hline 62.0000000000000 & 15.0000000000000 & 930 & 3844 & 225 \\ \hline 52.0000000000000 & 16.0000000000000 & 832 & 2704 & 256 \\ \hline 45.0000000000000 & 17.0000000000000 & 765 & 2025 & 289 \\ \hline 62.0000000000000 & 18.0000000000000 & 1116 & 3844 & 324 \\ \hline 46.0000000000000 & 18.0000000000000 & 828 & 2116 & 324 \\ \hline 60.0000000000000 & 19.0000000000000 & 1140 & 3600 & 361 \\ \hline 46.0000000000000 & 20.0000000000000 & 920 & 2116 & 400 \\ \hline 38.0000000000000 & 20.0000000000000 & 760 & 1444 & 400 \\ \hline 40.0000000000000 & 5.00000000000000 & 200 & 1600 & 25 \\ \hline \end{array}\)
Find the sum of every column to get:
\(\displaystyle\sum\ {X}={797},\ \sum\ {Y}={190},\ \sum\ {X}\ \cdot\ {Y}={10353},\ \sum\ {X}^{{{2}}}={47719},\ \sum\ {Y}^{{{2}}}={2994}\)
Use the following formula to work out the correlation coefficient.
\(\displaystyle{r}={\frac{{{n}\ \cdot\ \sum\ {X}{Y}\ -\ \sum\ {X}\ \cdot\ \sum\ {Y}}}{{\sqrt{{{\left[{n}\ \sum\ {X}^{{{2}}}\ -\ {\left(\sum\ {X}\right)}^{{{2}}}\right]}\ \cdot\ {\left[{n}\ \sum\ {Y}^{{{2}}}\ -\ {\left(\sum\ {Y}\right)}^{{{2}}}\right]}}}}}}\)
\(\displaystyle{r}={\frac{{{14}\ \cdot\ {10353}\ -\ {797}\ \cdot\ {190}}}{{\sqrt{{{\left[{14}\ \cdot\ {47719}\ -\ {797}^{{{2}}}\right]}\ \cdot\ {\left[{14}\ \cdot\ {2994}\ -\ {190}^{{{2}}}\right]}}}}}}\ \approx\ -{0.4693}\)
Make a scatterplot of the data with two new points added. a) 10% return, 25 new birds. b) 40% return, 5 new birds. Find two new correlations: for the original data plus Point A and for the original data plus Point B.
Make a scatterplot of the data with two new points added. a) 10% return, 25 new birds. b) 40% return, 5 new birds. Find two new correlations: for the original data plus Point A and for the original data plus Point B.
Question
Answers (1)
2020-12-08
Relevant Questions
asked 2021-05-31
Make a scatterplot for the data.
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asked 2021-02-25
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a. List a rearranged order of the five traditional stages of the RISC pipeline that will support register-memory operations implemented exclusively by register indirect addressing.
b. Describe what new forwarding paths are needed for the rearranged pipeline by stating the source, destination, and information transferred on each needed new path.
c. For the reordered stages of the RISC pipeline, what new data hazards are created by this addressing mode? Give an instruction sequence illustrating each new hazard.
d. List all of the ways that the RISC pipeline with register-memory ALU operations can have a different instruction count for a given program than the original RISC pipeline. Give a pair of specific instruction sequences, one for the original pipeline and one for the rearranged pipeline, to illustrate each way.
Hint for (d): Give a pair of instruction sequences where the RISC pipeline has “more” instructions than the reg-mem architecture. Also give a pair of instruction sequences where the RISC pipeline has “fewer” instructions than the reg-mem architecture.
a. List a rearranged order of the five traditional stages of the RISC pipeline that will support register-memory operations implemented exclusively by register indirect addressing.
b. Describe what new forwarding paths are needed for the rearranged pipeline by stating the source, destination, and information transferred on each needed new path.
c. For the reordered stages of the RISC pipeline, what new data hazards are created by this addressing mode? Give an instruction sequence illustrating each new hazard.
d. List all of the ways that the RISC pipeline with register-memory ALU operations can have a different instruction count for a given program than the original RISC pipeline. Give a pair of specific instruction sequences, one for the original pipeline and one for the rearranged pipeline, to illustrate each way.
Hint for (d): Give a pair of instruction sequences where the RISC pipeline has “more” instructions than the reg-mem architecture. Also give a pair of instruction sequences where the RISC pipeline has “fewer” instructions than the reg-mem architecture.
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a) Construct and interpret a scatterplot for the data.
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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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\(\displaystyle{F}_{{{d}{r}{u}{g}}}={C}_{{d}}{A}{v}^{{2}}\)
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Consider a vehicle moving with constant velocity \(\displaystyle\vec{{{v}}}\). Find the power dissipated by form drag.
Express your answer in terms of \(\displaystyle{C}_{{d}},{A},\) and speed v.
Part B:
A certain car has an engine that provides a maximum power \(\displaystyle{P}_{{0}}\). Suppose that the maximum speed of thee car, \(\displaystyle{v}_{{0}}\), is limited by a drag force proportional to the square of the speed (as in the previous part). The car engine is now modified, so that the new power \(\displaystyle{P}_{{1}}\) is 10 percent greater than the original power (\(\displaystyle{P}_{{1}}={110}\%{P}_{{0}}\)).
Assume the following:
The top speed is limited by air drag.
The magnitude of the force of air drag at these speeds is proportional to the square of the speed.
By what percentage, \(\displaystyle{\frac{{{v}_{{1}}-{v}_{{0}}}}{{{v}_{{0}}}}}\), is the top speed of the car increased?
Express the percent increase in top speed numerically to two significant figures.
\(\displaystyle{F}_{{{d}{r}{u}{g}}}={C}_{{d}}{A}{v}^{{2}}\)
where A is the cross-sectional area of the vehicle and \(\displaystyle{C}_{{d}}\) is called the coefficient of drag.
Part A:
Consider a vehicle moving with constant velocity \(\displaystyle\vec{{{v}}}\). Find the power dissipated by form drag.
Express your answer in terms of \(\displaystyle{C}_{{d}},{A},\) and speed v.
Part B:
A certain car has an engine that provides a maximum power \(\displaystyle{P}_{{0}}\). Suppose that the maximum speed of thee car, \(\displaystyle{v}_{{0}}\), is limited by a drag force proportional to the square of the speed (as in the previous part). The car engine is now modified, so that the new power \(\displaystyle{P}_{{1}}\) is 10 percent greater than the original power (\(\displaystyle{P}_{{1}}={110}\%{P}_{{0}}\)).
Assume the following:
The top speed is limited by air drag.
The magnitude of the force of air drag at these speeds is proportional to the square of the speed.
By what percentage, \(\displaystyle{\frac{{{v}_{{1}}-{v}_{{0}}}}{{{v}_{{0}}}}}\), is the top speed of the car increased?
Express the percent increase in top speed numerically to two significant figures.
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\((1,\ 2),\ (7,\ 9.5),\ (4,\ 7),\ (2,\ 4.2),\ (6,\ 8.25),\ (3,\ 5.8),\ (5,\ 8),\ (8,\ 10),\ (0,\ 0)\)
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(b) Find the probability that arandomly selected sample of Pima clay loam will have bulk densityless than \(\displaystyle{0.9}\frac{{g}}{{c}}{m}^{{3}}\).
(c) Would you be surprised if a randomly selected sample of this type of soil has a bulkdensity in excess of \(\displaystyle{2.0}\frac{{g}}{{c}}{m}^{{3}}\)? Explain, based on theprobability of this occurring.
(d) What point has the property that only 10% of the soil samples have bulk density this high orhigher?
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(a) What is thedensity for X? Sketch a graph of the density function. Indicate onthis graph the probability that X lies between 1.1 and 1.9. Findthis probability.
(b) Find the probability that arandomly selected sample of Pima clay loam will have bulk densityless than \(\displaystyle{0.9}\frac{{g}}{{c}}{m}^{{3}}\).
(c) Would you be surprised if a randomly selected sample of this type of soil has a bulkdensity in excess of \(\displaystyle{2.0}\frac{{g}}{{c}}{m}^{{3}}\)? Explain, based on theprobability of this occurring.
(d) What point has the property that only 10% of the soil samples have bulk density this high orhigher?
(e) What is the moment generating function for X?
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Use the technology of your choice to do the following tasks.
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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.
asked 2021-02-22
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.
