Liner regression, Mathematics

Assignment Help:

Liner Regression

The calculations for our sample size n = 10 are described below. The linear regression model is y = a + bx

Table:

Distance x miles

Time y mins

xy

x2

y2

3.5

16

56.0

12.25

256

2.4

13

31.0

5.76

169

4.9

19

93.1

24.01

361

4.2

18

75.6

17.64

324

3.0

12

36.0

9.0

144

1.3

11

14.3

1.69

121

1.0

8

8.0

1.0

64

3.0

14

42.0

9.0

196

1.5

9

13.5

2.25

81

4.1

16

65.6

16.81

256

Σx = 28.9

Σy = 136

Σxy = 435.3

Σx2 = 99.41

Σy2= 1972

The Slope b =  {(10 * 435.3) - (28.9 * 136)}/ {(10 * 99.41) - (28.9)2} = 2.66

And the intercept a =   {136 - (2.66 * 28.9)}/10 = 5.91

Now we insert these values in the linear model describing as

y = 5.91 + 2.66x Or

Delivery time (mins) = 5.91 + 2.66 delivery distance in miles

The slope of the regression line is the estimated number of minutes per mile required for a delivery. The intercept is the estimated time to prepare for the journey and to deliver the goods that is the time required for each journey other than the actual traveling time.


Related Discussions:- Liner regression

Area of an ellipse, You know the experation for the area of a circle of rad...

You know the experation for the area of a circle of radius R. It is Pi*R 2 . But what about the formula for the area of an ellipse of semi-minor axis of length A and semi-major

Mathematics- in our lives , MATHEMATICS - IN OUR LIVES : What is the mo...

MATHEMATICS - IN OUR LIVES : What is the most obvious example of mathematics in your life? To many of us it is the maths that we studied in school. But is that all the mathemat

Triangles, if A be the area of a right triangle and b be one of the sides c...

if A be the area of a right triangle and b be one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is 2Ab/rootb^4+4A^2

Shares and dividends, at what price 6.25% rs 100 share be quoted when the m...

at what price 6.25% rs 100 share be quoted when the money is worth 5%

Error in measurement, what is actual error and how do you find percentage e...

what is actual error and how do you find percentage error

Find the probability , 1.  What is the probability that the two beverages w...

1.  What is the probability that the two beverages will be of the same kind? 2.  What is the probability that the two beverages will be different? 3.  What is the probability

#i need help on my math homework its on algabraitle.., The question is: If ...

The question is: If 0.2 x n = 1.4,what is the value of n.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd