Question
In: Math
Let x be the number of years after 2007 and y represent the number of students...
Let x be the number of years after 2007 and y represent the number of students enrolled at WWCC. Answer the following
given the data that enrollment was 2055 in the year 2007, 2244 in 2008, 2512 in 2009, and 2715 in 2010.
(a) Find the least-squares line for the data using Excel and submit your file in Canvas.
(b) Using partial derivatives, verify the formula you obtained in Excel.
(c) Find the least-squares error E.
Solutions
Will appreciate feedback.
milcah answered 2 years agoRelated Solutions
2. Let x be the number of years after 2007 and y represent the number of...
2. Let x be the number of years after 2007 and y represent the
number of students enrolled at WWCC. Answer the following given the
data that enrollment was 2055 in the year 2007, 2244 in 2008, 2512
in 2009, 2715 in 2010, and 2765 in 2011.
(a) Find the least-squares line for the data using Excel and
submit your file in Canvas.
(b) Using partial derivatives, verify the formula you obtained
in Excel.
(c) Find the least-squares error E
Let X be the number of heads and let Y be the number of tails in...
Let X be the number of heads and let Y be the number of tails in
6 flips of a fair coin. Show that E(X · Y ) 6= E(X)E(Y ).
Let X represent the weight of the students at a university. Suppose X has a mean...
Let X represent the weight of the students at a university.
Suppose X has a mean of 75 kg and a standard deviation of 10 kg.
Among 100 such randomly selected students from this university,
what is the approximate probability that the average weight of this
sample (X100) lies between
(a) 74 and 75 kg
(b) greater than 76 kg
(c) less than 73 kg
Assume that the sample size(N) is large enough for the CLT
(Central Limit Theorem) to...
Let x be the number of different research programs, and let y be the mean number...
Let x be the number of different research programs, and
let y be the mean number of patents per program. As in any
business, a company can spread itself too thin. For example, too
many research programs might lead to a decline in overall research
productivity. The following data are for a collection of
pharmaceutical companies and their research programs.
x
10
12
14
16
18
20
y
1.9
1.4
1.6
1.4
1.0
0.7
Complete parts (a) through (e), given...
Let X be the event that the first number is even. Let Y be the event...
Let X be the event that the
first number is even. Let Y be the event that the second number is
even. Let Z be the event that the
sum of the two numbers is even.
Are the events X and Z independent? (
Are the events X ∩ Y and Z independent?
Formulate the situation as a system of inequalities. (Let x represent the number of goats the...
Formulate the situation as a system of inequalities. (Let x
represent the number of goats the farmer can raise and y represent
the number of llamas.) A rancher raises goats and llamas on his
800-acre ranch. Each goat needs 4 acres of land and requires $70 of
veterinary care per year, while each llama needs 10 acres of land
and requires $56 of veterinary care per year. If the rancher can
afford no more than $9,240 for veterinary care this...
Let x be the age in years of a licensed automobile driver. Let y be the...
Let x be the age in years of a licensed automobile
driver. Let y be the percentage of all fatal accidents
(for a given age) due to speeding. For example, the first data pair
indicates that 37% of all fatal accidents of 17-year-olds are due
to speeding.
x 17,27,37,47,57,67,77
y 37,25,18,12,10,7,5
Complete parts (a) through (e), given Σx = 329,
Σy = 114, Σx2 = 18,263,
Σy2 = 2636, Σxy = 3958, and r
≈ −0.948.
(a) Draw a scatter...
Let x be the age in years of a licensed automobile driver. Let y be the...
Let x be the age in years of a licensed automobile driver. Let y
be the percentage of all fatal accidents (for a given age) due to
speeding. For example, the first data pair indicates that 36% of
all fatal accidents of 17-year-olds are due to speeding. x 17 27 37
47 57 67 77 y 36 25 23 12 10 7 5 Complete parts (a) through (e),
given Σx = 329, Σy = 118, Σx2 = 18,263, Σy2 =...
Let x be the age of a licensed driver in years. Let y be the percentage...
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
13
31
41
Complete parts (a) through (e), given Σx =...
Let x be the age in years of a licensed automobile driver. Let y be the...
Let x be the age in years of a licensed automobile driver. Let y
be the percentage of all fatal accidents (for a given age) due to
speeding. For example, the first data pair indicates that 36% of
all fatal accidents involving 17-year-olds are due to speeding. x
17 27 37 47 57 67 77 y 36 25 20 12 10 7 5 Find the sample mean for
x (round to the nearest whole number) Find the sample mean for...
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