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

What is the formula to calculate area of rectangle, Charlie needs to know t...

Charlie needs to know the area of his property, that measures 120 ft through 150 ft. Which formula will he use? The area of a rectangle is length × width.

#title.heat loss in a cylindrical pipe., briefly explain how the famous equ...

briefly explain how the famous equation for the loss of heat in a cylindrical pipe is derived

Organized list strategy, i can not figer out my homework it says "USE THE M...

i can not figer out my homework it says "USE THE MAKE AN ORGANIZED LIST STRATEGY,Medeline bikes 4 laps around her neighborhood 2 times a week.How many laps does she bike in 8 weeks

Determine rank correlation coefficient, Determine Rank Correlation Coef...

Determine Rank Correlation Coefficient A group of 8 accountancy students are tested in Quantitative Techniques and Law II.  Their rankings in the two tests were as:

Calculus, Properties of Integration

Properties of Integration

Example of factor by grouping, Factor by grouping each of the following. ...

Factor by grouping each of the following. 3x 2 - 2x + 12x - 8 Solution           3x 2 - 2x + 12x - 8 In this case we collect the first two terms & the final two te

Perimeter and Area, A farmer has a rectangular field of length 100m and bre...

A farmer has a rectangular field of length 100m and breadth 70m. He leaves a path of 1m all along the boundary inside it. He decides to apply a manure to the remaining part of the

Solving problem with linear function, An electric utility company determine...

An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 5.72 cents per kilowatt-hour to its base charge of $16.35 per month

Calculus, I need help fast with my calculus work

I need help fast with my calculus work

Fact of the wronskian method, Given two functions f(x) and g(x) which are d...

Given two functions f(x) and g(x) which are differentiable on some interval I  (1) If W (f,g) (x 0 ) ≠ 0 for some x 0 in I, so f(x) and g(x) are linearly independent on the int

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