Year Commodities% Services%
1960 0.9 3.4
1961 0.6 1.7
1962 0.9 2.0
1963 0.9 2.0
1964 1.2 2.0
1965 1.1 2.3
1966 2.6 3.8
1967 1.9 4.3
1968 3.5 5.2
1969 4.7 6.9
1970 4.5 8.0
1971 3.6 5.7
1972 3.0 3.8
1973 7.4 4.4
1974 11.9 9.2
1975 8.8 9.6
1976 4.3 8.3
1977 5.8 7.7
1978 7.2 8.6
1979 11.3 11.0
1980 12.3 15.4
1981 8.4 13.1
1982 4.1 9.0
1983 2.9 3.5
1984 3.4 5.2
1985 2.1 5.1
1986 -0.9 5.0
1987 3.2 4.2
1988 3.5 4.6
1989 4.7 4.9
1990 5.2 5.5
1991 3.1 5.1
1992 2.0 3.9
1993 1.9 3.9
1994 1.7 3.3
1995 1.9 3.4
1996 2.6 3.2
1997 1.4 3.0
1998 0.1 2.7
1999 1.8 2.5
2000 3.3 3.4
2001 1.0 4.1
2002 -0.7 3.1
2003 1.0 3.2
2004 2.3 2.9
2005 3.6 3.3
2006 2.4 3.8
Use Data Set J, U.S. annual Percent Inflation in Prices of Commodities and Services (n=47), on page 536 of your textbook to answer the following questions. Commodities percentage (Commodities %) is the independent, variable and Services percentage (Services%) is the dependent variable. Data are year-to-year percent changes in the Consumer Price Index (CPI) in these two categories. The data file, Inflation, may be found on Canvas under Modules under Chapter 12 Textbook Data Files. Use MINITAB to obtain the simple regression equation, confidence interval, prediction interval, and required graphs. Insert tables and graphs in your report as appropriate. All interpretations should be in terms of the problem (data).
Use Minitab and produce the appropriate output to answer the following questions. Attach the output. Construct a scatter plot. Recalling what scatter plots are used for, write a couple of sentences addressing what you observed from the plot. Be sure to relate your observations to the purpose of using scatter plots in regression. (4 points)
Can we conclude that year-to-year changes in Commodities percentage (Commodities%) helps in predicting year-to year changes in Services percentage (Services%)? Follow and show the 7 steps for hypothesis testing. (12 points)
Find the sample regression equation and interpret the coefficients. Remember your interpretations should be in terms of the problem. (4 points)
Find the coefficient of determination, and interpret its value. (3 points)
Use residual analysis to check the validity of the model and fully explain your findings and conclusions. (6 points)
Estimate with 95% confidence the average year-to-year Services percentage for when all year-to-year Commodities change is 3.0%. Predict with 95% confidence the estimated Services percentage when an individual year’s Commodities change is 3.0%. Write at least one sentence using your confidence interval and at least one sentence using your prediction interval. (8 points)
Verify that the p-value for the F is the same as the slope’s t statistic’s p-value, and show that t2 = F. (3 points)
Attach or include relevant Minitab output to support your results in parts (1, 2, 3, 4, 5, and 6). (4 points)
In: Statistics and Probability
What is the difference between a debt/income ratio and a debt serving ratio? What impact on both measures did the monetary policy from the late 1990s to 2004 have?
In: Economics
The population data for a certain country are as follows:

Obtain a function that describes these data. Plot the function and the data on the same plot. Estimate when the population will be double its 2004 size.
In: Mechanical Engineering
In: Economics
1.As a resident of the United States, if your nominal salary does not increase for three years, your real salary is likely to have declined. T or F.
2. The basket used to calculate the Consumer Price Index in the United States contains one unit of every good that is regularly purchased by the average urban consumer. T or F
3. The consumer price index has a value of 125 in the year 2002 and a value of 150 in the year 2010.
In this case, $500 in the year 2002 has the same purchasing power as how many dollars in the year 2010?
Round to the nearest whole number.
4. The price of gas in 1992 was $1.09 per gallon and in 2013 it was $3.51.
The price index in 1992 was 140 and in 2013 it was 233.
Based on this information:
The percentage change in the nominal price of gas was --- %. Enter a number rounded to two decimal places.
In real terms, the price of gas was cheaper in which year? --- Enter 1992 or 2013.
5. If the average wage paid to the worker was $20 in 2002 and $30 in 2012, then the average worker in the year 2012 must have been better off in terms of being able to purchase more goods and services. T or F
In: Economics
Batesian mimicry occurs when a non-toxic or harmless organism looks highly similar to an organism that is toxic or venomous. An example is the viceroy butterfly which is harmless, but looks extremely similar to the monarch butterfly, which is toxic and bad-tasting when eaten. As a result of the similarity, the harmless organism may be avoided by predators. Bright colors are often advertisements for toxicity, to alert predators to avoid the animal.
Another familiar example are coral and king snakes. Coral snakes
have highly toxic venom, but king snakes are harmless. A common
means for distinguishing the two is, "red touches yellow, you're a
dead fellow. Red touches black, you're okay, Jack." But is the
similarity as useful in the extreme reaches of the snakes' range?
If king snakes live in areas where predators have little or no
exposure to coral snakes, they are actually in danger, as their
bright colors make them more apparent to predators.
Researchers investigated the predation rates on king snakes at
varying distances from the boundary of coral snakes' range, to
determine whether there was an effect.
Here is a link to a Google Sheet of the dataset.
| Dist. From Boundary | Proportion of Attacks on Mimics |
| -97 | 0 |
| -47 | 0.01 |
| -33 | 0 |
| -23 | 0 |
| -72 | 0.33 |
| -23 | 0.5 |
| 152 | 0.4 |
| -15 | 0.67 |
| 97 | 0.66 |
| 113 | 0.66 |
| 105 | 1 |
| 80 | 1 |
| 138 | 1 |
| 148 | 1 |
| 152 | 1 |
| 49 | 0.4 |
| 48 | 0 |
"Dist. From Boundary" is the distance in kilometers from the edge of the coral snakes' range; negative numbers mean within the range, positive numbers are outside.
"Proportion of Attacks on Mimics" is the proportion of attacks
on artificial mimic snakes vs. artificial non-mimics by
predators.
Use the data set to perform a linear regression relating distance
from the boundary to the proportion of attacks on mimics. Use your
regression formula to predict the proportion of attacks on mimics
at 62 kilometers from the boundary. Report your answer to two
decimal places.
4 points
QUESTION 19
Using the same data set from the coral and king snake question on linear regression, perform a t test to demonstrate the slope of the line is not equal to zero. Use the regression feature in the Analysis ToolPak add-in for Microsoft Excel to perform the calculation. Report your p value rounded to four decimal places.
2 points
QUESTION 20
Based on the p value for the t test on the slope of the line concerning king snakes and coral snakes, which of the following are false statements?
|
The null hypothesis, stating that the slope of the line is equal to zero should be rejected. |
||
|
The null hypothesis stating that the slope of the line is equal to zero should fail to be rejected. |
||
|
The calculated t statistic is less than the critical value of t. |
||
|
The calculated t statistic is greater than the critical value of t. |
In: Statistics and Probability
Transmembrane proteins are often found at the boundary of lipid rafts. Considering the physical properties of the proteins and lipids, involved, what is the best explanation for this arrangement?
Transmembrane domains are usually either a-helical or b-barrel, but not random coil. Why would the random coil conformation be unstable even if all the residues in the segment are hydrophobic?
In: Biology
For the following descriptions, identify a metamorphic rock that would go with them:
a. A magma chamber that intruded where a swamp used to be.
b. A deposit of clay/mud at a convergent plate boundary.
c. A magma chamber that intruded at an old beach (be sure to include a color).
d. A high grade rock found in a mountain range
In: Other
S(x) is a cubic spline for the function f(x) = sin(pi x/2) + cos(pi x/2) at the nodes x0 = 0 , x1 = 1 , x2 = 2
and satisfies the clamped boundary conditions. Determine the coefficient of x3 in S(x) on [0,1] ans. pi/2 -3/2
In: Advanced Math
12. There are many public policy reasons for the adverse possession doctrine. Select three.
a. Resolving boundary disputes
b. Resolving title concerns
c. Assuring property is put to productive use
d. Avoiding unnecessary paperwork
e. Moving to electronic record keeping
f. Assisting the poor in obtaining property
In: Accounting