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

Determine if following sequences are monotonic or bounded, Determine if the...

Determine if the following sequences are monotonic and/or bounded. (a)   {-n 2 } ∞ n=0 (b) {( -1) n+1 } ∞ n=1 (c) {2/n 2 } ∞ n=5 Solution {-n 2 } ∞ n=0

Find relative extrema f ( x ) = x2 on [-2, Recognizes the absolute extrema...

Recognizes the absolute extrema & relative extrema for the given function.  f ( x ) = x 2        on                  [-2, 2] Solution Following is the graph for this fun

rational nmber, every rational nmber is expressible either as a_________or...

every rational nmber is expressible either as a_________or as a____________decimal.

Properties of logarithms, Properties of Logarithms 1. log a x...

Properties of Logarithms 1. log a xy = log a x + log a y 2.  = log a x - log a y 3. log a x n   = n log

PARCC Practice Book, Ask question #Minimum 100 words acceptThe top of Kevi...

Ask question #Minimum 100 words acceptThe top of Kevin''s dining room table is 4 feet long, and 3 feet wide. Kevin wants to cover the middle of the table with tiles. He plans to le

Trignometry, whta are the formulas needed for proving in trignometry .

whta are the formulas needed for proving in trignometry .

Simulation and Modeling, I have some sample simulation and modeling practic...

I have some sample simulation and modeling practice questions using isee Stella software.

Integer exponents, We will begin this chapter by looking at integer exponen...

We will begin this chapter by looking at integer exponents.  Actually, initially we will suppose that the exponents are +ve as well. We will look at zero & negative exponents in 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