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

RECTILINEAR FIGURES, AB,BC,CD ARE THREE CONSECUTIE SIDES OF REGULAR POLYGON...

AB,BC,CD ARE THREE CONSECUTIE SIDES OF REGULAR POLYGON.IF ANGLE BAC IS 18 DEGREE, FIND EXTERIOR ANGLES AND NUMBER OF SIDES ?

Math, Verify Louisville''s formula for y "-y" - y'' + y = 0 in (0, 1) quest...

Verify Louisville''s formula for y "-y" - y'' + y = 0 in (0, 1) question..

Show that 8 - 10 + 21= 0, If A, B and P are the points (-4, 3), (0, -2) and...

If A, B and P are the points (-4, 3), (0, -2) and (α,β) respectively and P is equidistant from A and B, show that 8α - 10β + 21= 0. Ans :   AP = PB ⇒ AP 2 = PB 2 (∝ + 4) 2

Example to understand means to count, Place ten pebbles (or any other such ...

Place ten pebbles (or any other such objects) in front of a child who can recite number names upto ten in the correct sequence. Ask him/her to count them aloud while touching the p

Construction, draw a line OX=10CM and construct an angle xoy = 60. (b)bisec...

draw a line OX=10CM and construct an angle xoy = 60. (b)bisect the angle xoy and mark a point A on the bisector so that OA = 7cm

Product moment coefficient, Product Moment Coefficient This gives an i...

Product Moment Coefficient This gives an indication of the strength of the linear relationship among two variables. Note that this formula can be rearranged to have di

Determine the relation is partially ordered, Determine if the relation repr...

Determine if the relation represented by the following Boolean matrix is partially ordered. Ans: Let the following relation R is defined on set A = {x, y, z}. To test if t

Tangent, Tangent, Normal and Binormal Vectors In this part we want to ...

Tangent, Normal and Binormal Vectors In this part we want to look at an application of derivatives for vector functions.  In fact, there are a couple of applications, but they

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