Question

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 14 27

45

Complete parts (a) through (e), given Σx = 372, Σy = 109, Σx2 = 24814, Σy2 = 3139, Σxy = 8063, and r ≈ 0.916.

b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.)

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 failing to yield the right of way for 70-year-olds. (Round your answer to two decimal places.)
%

Homework Answers

Answer #1

b)

ΣX = 372.000
ΣY= 109.000
ΣX2 = 24814.000
ΣY2 = 3139.000
ΣXY = 8063.000
r = 0.916

c)

X̅=ΣX/n = 62.00
Y̅=ΣY/n = 18.17
ŷ = -28.068+0.746x

e)

coefficient of determination r2 = 0.840
explained = 84.0%
unexplained= 16.0%

f)

predicted value =-28.068+0.746*70= 24.15
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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 14 33 46 Complete parts (a) through (e), given Σx =...
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 16 32 42 Complete parts (a) through (e), given Σx =...
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 15 31 44 Complete parts (a) through (e), given Σx =...
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 14 33 44 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 39% of all fatal accidents of 17-year-olds are due to speeding. x 17 27 37 47 57 67 77 y 39 22 22 12 10 7 5 Complete parts (a) through (e), given Σx = 329, Σy = 117, Σx2 = 18,263, Σy2 =...
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 23 18 12 10 7 5 Complete parts (a) through (e), given Σx = 329, Σy = 112, Σx2 = 18,263, Σy2 =...
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 34% of all fatal accidents of 17-year-olds are due to speeding. x 17 27 37 47 57 67 77 y 34 28 18 12 10 7 5 Complete parts (a) through (e), given Σx = 329, Σy = 114, 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 15 31 44 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 34% of all fatal accidents of 17-year-olds are due to speeding. Given: Σx = 329, Σy = 114, Σx2 = 18,263, Σy2 = 2582, Σxy = 3988, and r ≈ −0.961. (c) Find x, and y. Then find the equation of the least-squares line...
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x...
Do heavier cars really use more gasoline? Suppose a car is chosen at random. Let x be the weight of the car (in hundreds of pounds), and let y be the miles per gallon (mpg). x 27 43 31 47 23 40 34 52 y 30 20 25 13 29 17 21 14 Complete parts (a) through (d), given Σx = 297, Σy = 169, Σx2 = 11,737, Σy2 = 3861, Σxy = 5845, and r ≈ −0.944. (a) Verify...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT