2

The success of a shopping center can be represented as a function of the distance (in miles) from the center of the population and the number of clients (in hundreds of people) who will visit. The data is given in the table below:

No. Customer (x) 8 7 6 4 2 1
Distance (y) 15 19 25 23 34 40

1 Calculate the linear correlation coefficient.

2 If the mall is located 2 miles from the center of the population, how many customers should the shopping center expect?

3 To receive 500 customers, at what distance from the center of the population should the shopping centre be located?

xi yi xi ·yi xi2 yi2
8 15 120 64 225
7 19 133 49 361
6 25 150 36 625
4 23 92 16 529
2 34 68 4 1,156
1 40 40 1 1,600
28 156 603 170 4,496

Correlation and Regression Operations

Correlation and Regression Operations

Correlation and Regression Operations

Correlation and Regression Operations

Correlation and Regression Operations

There is a very strong negative correlation.

Correlation and Regression Operations

Correlation and Regression Operations

Correlation and Regression Solution

Correlation and Regression Solution