MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Please answer the whole question.
(1) 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 33% of all fatal accidents of 17-year-olds are due to speeding.
x | 17 | 27 | 37 | 47 | 57 | 67 | 77 |
y | 33 | 28 | 22 | 12 | 10 | 7 | 5 |
Complete parts (a) through (e), given
Σx = 329, Σy = 117, Σx2 = 18,263, Σy2 = 2675, Σxy = 4119, and r ≈ −0.972.
(a) Draw a scatter diagram displaying the data.
(b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy and the value of the samplecorrelation coefficient r. (Round your value for r to three decimal places.)
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(b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy and the value of the sample
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 |
(d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.
(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 speeding for 35-year-olds. (Round your answer to two decimal places.)
%
%
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- I need help with part d of this question, while using excel. Thank youarrow_forwardLet 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 10 17 28 44 Complete parts (a) through (e), given Ex = 372, Ey = 112, Ex = 24814, Ey = 3198, Exy = 8254, and r- 0.941. (a) Draw a scatter diagram displaying the data. Graph Layers After you add an object to the graph you use Graph Layers to view and edit its properties. No Solusion WebAssign. Graphing Tool (b) Verify the given sums Ex, Ey, Ex, Ey, Exy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Ex = Ey = Ex? - Ey? - Exy = (c) 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.) y=arrow_forwardThe independent variable in either a before/after t or a within subjects F is always of what data scalearrow_forward
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