Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

I need help with this set of equations/problems. I have some of it done, but I am not sure it is correct and I am

I need help with this set of equations/problems. I have some of it done, but I am not sure it is correct and I am stuck and can't get any further. I need for you to break this down for me like I am a five year old if possible. Thank you in advance!

Each of the following pairs represents the number of licensed drivers (X) and the number of cars (Y) for seven houses in my neighborhood:

Drivers (X) Cars (Y)

5 4

5 3

2 2

2 2

3 2

1 1

2 2

(b).Determine the least squares equation for these data.(Remember, you will first have to calculate r, SSy , and SSx).

n= 7X = 20Mean = 2.8571Y= 16Mean = 2.2857XY= 54 X2= 72 Y2= 42

SPXY = XY- (X) (Y) n54- (20)(16)7=8.2857

SSX = X2 - (X)2 n 72 - (20)2 7 = 14.8571

SSY = Y2 - (Y)2 n42 - (16)2 7= 5.4286

8.2857 8.9807= 0.9228

r= 0.9228

SSX= 14.8571

SSY= 5.4286

Y' = bX + a

2.29 - (0.1447)(2.8571)=1.8723

b= 0.1447

a= 1.8723

Y' = bX + a=Y'= 0.1447 x

(c).Determine the standard error of estimate Sy/x, given that n= 7.

(d).Predict the number of cars for each of two new families with two and five drivers.

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Theory And Applications Of Partial Functional Differential Equations

Authors: Abrar A Khan

1st Edition

9353141915, 9789353141912

More Books

Students also viewed these Mathematics questions