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There has been a study saying that the speed of a vehicle before it met an accident can be estimated by distance of the skid marks it has created during full braking,consider the table below
MPH Braking Distance(ft)
20 20
30 45
40 81
50 133
60 205
80 411
Assume MPH is going to be used to predict stopping distance.
1.Find the regression equation.
2.Interpret the slope and the y-intercept of the equation.
3.Find the braking distance when MPH=45.
4.Find the braking distance when MPH=100.
5.what would you say if we proceed on predicting beyond the data values?
Find the value of pearson coefficient r.give your conclusion about the variables of the studies.
1.the diameter of the longest lichens growing on gravestones were measured. Data gathered show the following:
Age of gravestone x(years)=9,18,20,31,44,52,61,63,63
Diameter of lichen=2,3,4,20,22,41,35,22,28,32
2.In a biology experiment a number of cultures were grown in the laboratory. The numbers of bacteria,in millions,and their ages,In days ,are given below.
Age x(days)=1,2,3,4,5,6,7,8
No. Of bacteria Y(mil)=34,106,135,181,192,231,268,300
Compute and interpret r for the 19 following data given
1.x=1,3,6,10,12
y=5,13,25,41,49
2.x=1,3,5,7,9
y=44,34,24,14,4
3.x=1,3,6,9,11
y=12,28,37,28,12
. Consider the following joint probability density function (pdf) of the random variables X and Y:
f(x,y) =
In an entrance examination a student has to
answer all the 120 questions. Each questions
has four options and only one option is
correct. A student gets 1 mark for a correct
answer and loses
2
1
mark for a wrong
answer. What is the expectation of the mark
scored by a student if he chooses the answer
to each questions at random?
A certain drug is claimed by its manufacturers to reduce overweight men by 4.75 kg per month,
with a standard deviation of 0.89 kg. Ten randomly chosen men reported losing an average of 4.25 kg
within a month. Does this data support the claim of the manufacturer at 0.05 level of significance?
A study shows that the cost of raising a child from birth to age one is more than Php 92 000. A
random sample of 36 families reveal a mean of Php 95 000 with a standard deviation of Php 5 000.
Based on these sample data, can it be concluded that the study is correct in its claim? Use 0.01 level
of significance.
The director of a certain school for secretarial studies claimed that his graduates can type more than 85 words per minute. A random sample of 15 graduates has been found to have an average of 80 words per minute with a standard deviation of 7.6 words per minute. Using 0.05 level of significance, test the claim of the director.
The water level in a particular lake depends upon two sources, direct rainfall X, and inflow from a stream Y. The rainfall Z around the lake can be considered as a random variable with a mean μZ and a standard deviation σZ. X and Y are related to Z as
X = aZ and Y = b + cZ
where a, b and c are constants. Calculate the correlation coefficient ρX,Y.
If β1=1 and β2 =4 and variance = 9, find the values of β3 and β4 and
comment upon the nature of the distribution.
#332078 on Oct 2022