Which is the solution to the equation 3.5(2h+4.5)=57.75? round to the nearest tenth if necessary.
2 answers:
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Answer:
(a) 0.5899
(b) 0.9166
Step-by-step explanation:
Let X be the random variable that represents the height of a woman. Then, X is normally distributed with
= 62.5 in
= 2.2 in
the normal probability density function is given by
, then
(a) = 0.5899
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)
(b) We are seeking where n = 37.
is normally distributed with mean 62.5 in and standard deviation
. So, the probability density function is given by
, and
= 0.9166
(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))
You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.
The regression equation of Y on X is given by the following formula:
Where byx is given by the formula:
Where N is the number of values (N=8). We need to find the sum of X values, the sum of Y values, the average of X, the average of Y, the sum of X*Y and the sum of X^2.
The table of values is:
The values we need to know are on the following table:
By replacing the known values in the formula we obtain:
Now, the average of X and Y is the sum divided by N, then:
Replace these values in the formula and find the regression equation as follows:
The answer is a) y=4.6x+28.26
The 4 functions are:
Let's keep in mind that for large values of x, a quadratic function grows faster than a linear function:
for large values of x
In this problem, we can see that the only quadratic function is
, while all the others are linear functions, so the function that grows faster for large values of x is
Let's keep in mind that for large values of x, a quadratic function grows faster than a linear function:
In this problem, we can see that the only quadratic function is