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

Fractions, how do you convert in a quicker way?

how do you convert in a quicker way?

Division, 1000000 divided by 19

1000000 divided by 19

#title.algebra., how do i understand algebra? whats the formula i just dont...

how do i understand algebra? whats the formula i just dont get it

Stratified sampling, Stratified sampling In stratified sampling case t...

Stratified sampling In stratified sampling case the population is divided into groups in such a way that units in each group are as same as possible in a process called strati

Solve sin (a /7) =0 trig function, Solve sin (α /7) =0 . Solution B...

Solve sin (α /7) =0 . Solution By Using a unit circle it isn't too difficult to see that the solutions to this equation are, α /7 = 0 + 2 ? n     ⇒   α = 14 ? n

Find out arc length - applications of integrals, Find out the length of y =...

Find out the length of y = ln(sec x ) between 0 x π/4. Solution In this example we'll need to use the first ds as the function is in the form y = f (x). So, let us g

Factoring out the greatest common factor, Factoring out the greatest common...

Factoring out the greatest common factor of following polynomials.                    8x 4 - 4 x 3 + 10 x 2  Solution Primary we will notice that we can factor out a

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