Let x be the age of a licensed driver in years. Let y be the percentage of all fatal accidents (for a given age) due to failure to yield the right of way. For example, the first data pair states that 5% of all fatal accidents of 37-year-olds are due to failure to yield the right of way.
| x | 37 | 47 | 57 | 67 | 77 | 87 |
| y | 5 | 8 | 10 | 18 | 31 | 46 |
Complete parts (a) through (e), given Σx = 372, Σy = 118, Σx2 = 24814, Σy2 = 3590, Σxy = 8726, and r ≈ 0.946.
(a) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)
Σx =
Σy =
Σx2 =
Σy2 =
Σxy =
r =
(b) Find x, and y. Then find the equation of the least-squares line ŷ = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.)
x=
y=
ŷ = + x
(c) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.)
r2 =
explained = %
unexplained = %
(d) Predict the percentage of all fatal accidents due to failing
to yield the right of way for 65-year-olds. (Round your answer to
two decimal places.)
= %
In: Statistics and Probability
What is the percentage change in price for a zero coupon bond if the yield changes from 8.5% to 8%? The bond has a face value of $1,000 and it matures in 15 years. Use the price determined from the first yield, 8.5%, as the base in the percentage calculation. The percentage change in the bond price if the yield changes from 8.5% to 8% is ____%. (Round to two decimal places.)
In: Finance
3. What is the percentage change in price for a zero coupon bond if the yield changes from
9%
to
6%?
The bond has a face value of
$1,000
and it matures in
16
years. Use the price determined from the first yield,
9%,
as the base in the percentage calculation.
In: Finance
A particle travels at 0.14c. By what percentage will a calculation of its momentum be wrong if you use the classical formula?
Express your answer using two significant figures.
p−prelprel = ? %
B- Repeat for
0.58c.
Express your answer using two significant figures
p−prelprel = ? %
In: Physics
The World Bank collected data on the percentage of GDP that a country spends on health expenditures ("Health expenditure," 2013) and also the percentage of women receiving prenatal care ("Pregnant woman receiving," 2013). The data for the countries where this information is available for the year 2011 is in the table below:
|
Health Expenditure (% of GDP) |
Prenatal Care (%) |
|
9.6 |
47.9 |
|
3.7 |
54.6 |
|
5.2 |
93.7 |
|
5.2 |
84.7 |
|
10.0 |
100.0 |
|
4.7 |
42.5 |
|
4.8 |
96.4 |
|
6.0 |
77.1 |
|
5.4 |
58.3 |
|
4.8 |
95.4 |
|
4.1 |
78.0 |
|
6.0 |
93.3 |
|
9.5 |
93.3 |
|
6.8 |
93.7 |
|
6.1 |
89.8 |
1. Determine the correlation between variables (if it exists) in this relation. Which variable is the dependent (output) variable?
A. Percent of women receiving prenatal care
B. Percent of GDP spent on healthcare
2. Using technology, determine the coefficient of correlation r (enter r value to the nearest ten-thousandth, with its sign (no spaces)
3. What type of linear correlation does the calculated r value indicate?
A. Weak negative correlation
B. Weak positive correlation
C. No linear correlation
D. None of the above
4. Use the correlation coefficient r to find the coefficient of determination r2 (enter r value to the nearest ten-thousandth)
5. What percentage of the variability in the percentage of women receiving prenatal care is accounted for by the percentage of GDP spent on healthcare?
A. 17.15%
B. 97.06%
C. 2.94%
D. None of the above
In: Statistics and Probability
What is the percentage change in price for a zero coupon bond if the yield changes from
8.5%
to
5.5%?
The bond has a face value of
$1,000
and it matures in
19
years. Use the price determined from the first yield,
8.5%,
as the base in the percentage calculation.
In: Finance
1. In a percentage cross‑tabulation, the conventional rule for determining the direction of the percentages (if the researcher has identified the independent and dependent variables) is to:
Select one:
a. compute the percentages in the direction of the dependent variable.
b. compute the percentages in the direction of the independent variable.
c. none of the above (there is no conventional rule).
d. perform an elaboration analysis.
2.
“Don’t know” answers in interview records can be coded by:
Select one:
a. using “dont’ know” as a separate data category.
b. all of the above
c. redistributing these answers into the other categories of the question on a proportionate basis.
d. eliminating these answers in the tabulation of percentage
totals.
3.
When a telephone interviewer mistakenly records a birth year as 1875, correcting this mistake is an example of editing for _____________.
Select one:
a. legibility
b. omission
c. reliability
d. consistency
4.
The process of changing the original form of the data to a format suitable to perform a data analysis is:
Select one:
a. formatting.
b. none of the above
c. data transformation.
d. normalization.
5.
The purpose of is to insure completeness, consistency, and readability of the data to be transferred to data storage.
Select one:
a. keypunching
b. coding
c. editing
d. checking
In: Statistics and Probability
The activation energy for a particular reaction is Ea = 13.40 kJ. What percentage of the molecules are at or above the activation energy at 500.0 K?
In: Chemistry
Let x be the age of a licensed driver in years. Let y be the percentage of all fatal accidents (for a given age) due to failure to yield the right of way. For example, the first data pair states that 5% of all fatal accidents of 37-year-olds are due to failure to yield the right of way.
| x | 37 | 47 | 57 | 67 | 77 | 87 |
| y | 5 | 8 | 10 | 17 | 32 | 46 |
Complete parts (a) through (e), given Σx = 372, Σy = 118, Σx2 = 24814, Σy2 = 3618, Σxy = 8736, and r ≈ 0.942.
(a) Draw a scatter diagram displaying the data.
(b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)
| Σx = | |
| Σy = | |
| Σx2 = | |
| Σy2 = | |
| Σxy = | |
| r = |
(c) Find x, and y. Then find the equation of the least-squares
line = a + bx. (Round your answers for
x and y to two decimal places. Round your answers for a
and b to three decimal places.)
| x | = | |
| y | = | |
| = |
+ x |
(e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.)
| r2 = | |
| explained | % |
| unexplained | % |
(f) Predict the percentage of all fatal accidents due to failing to
yield the right of way for 70-year-olds. (Round your answer to two
decimal places.)
%
In: Statistics and Probability
Calculate the percentage composition, by weight, in terms of the constituent oxides of the following minerals. Constituent oxides are SiO2, Al2O3, TiO2, FeO, MgO, Na2O, K2O, CaO, H2O, etc. Also, write a balanced chemical equation for each mineral.
a. Ilmenite {FeTiO3}
b. Muscovite {KAl2(AlSi3O10)(OH)2}
c. Plagioclase feldspar (albite) {NaAlSi3O8}
d. Magnetite {Fe3O4}
e. Olivine {(Mg,Fe)2SiO4 - assume equal proportions of Mg and Fe}
In: Chemistry