Let x be the age of 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 says that 5% pof all fatal accidents involving 37year olds are due to failure to yield the right of way.
X: 37, 47, 57, 67, 77, 87
Y: 5, 8, 10 , 16, 30, 43

Complete parts a) to e) given Ex= 372, Ey = 112, Ex^2 = 24,814, Ey^2 = 3194, and Exy=8254, and r= 0.943

a) Draw a scatter gram display the data
b) Verify the sums: Ex, Ey, Ex^2, Ey^2,and the value of the sample correlation coefficient r.
c) Find x( line over x) and y(line over the y) and a and b. Then find the equation of the least squared line y( with this^ over the y)=a+bx.
d) Gragh the least squares line on your scatter diagram. Be sure to use the point (x,y, both with lines over each one) as one of the points on the line.
e) Find the value of the coefficient determination r^2. 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?
f) Predict the percentage of all fatal accidents due to failing to yield the right of way for 70 year olds.

Solution Summary

Neat and step-by-step soltuions are provided. Graph is provided.

Excel spreadsheet you provided
I calculated the correlation coefficient for data at .891. Can you please use
this data and Excel spreadsheet and provide the calculations to arrive at
the correlation coefficient of .891? In addition, what would the
correlation coefficient of .891 tell us about the data ?

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X -5 -3 4 1 -1 -2 0 2 3 -4
Y -10 -8 9 1 -2 -6 -1 3 6 -8
2. The data below

Please help with the following problem. Provide step by step calculations.
Construct a scatterplot for the (x, y) values below, and answer the following questions.
x y
1 -10.0
2 -20.0
3 -30.0
4 -40.0
5 -50.0
Q

Please help answer the following question. Provide at least 200 words.
What is the possible uses of regressionandcorrelation analysis in doctoral-level research? Would I be able to use these techniques in my dissertation, or any application in other areas?

I need help with these questions.
1. Find the equation of the regression line for the given data. What is the predicted value of Y when X = -2? What is the predicted value of Y when X = 4?
X -5 -3 4 1 -1 -2 0 2 3 -4
Y -10 -8 9 1 -2 -6 -1 3 6 -8

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c. must hae opposite signs.
d. are equal
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The following sample observations were randomly selected:
X 10,6,12,6,8,8,12,16
Y 26,30,14,24,26,22,18,10
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b) Determine the regression equation.
c) D