2.5 1.5 0.5 1 3 4 5 6. Distance (km) (a) Use the scatter diagram to find the value of a and b in the table. 15 16 (b) Calculate (i) the mean distance from the Melbourne city centre, F; 17 (ii) the mean 1 m² price, in thousands AUD, ĝ; 18 (iii) the Pearson's product-moment correlation coefficient, r. 19 (c) Write down the equation of the regression line y on x. 20 (d) Use the line of the regression equation to estimate the price of 1 m² of the land 4 km from the Melbourne city centre. State whether your estimate is reliable and justify your answer. 21. 22 1 m² price (thousand AUD)

2.5 1.5 0.5 1 3 4 5 6. Distance (km) (a) Use the scatter diagram to find the value of a and b in the table. 15 16 (b) Calculate (i) the mean distance from the Melbourne city centre, F; 17 (ii) the mean 1 m² price, in thousands AUD, ĝ; 18 (iii) the Pearson's product-moment correlation coefficient, r. 19 (c) Write down the equation of the regression line y on x. 20 (d) Use the line of the regression equation to estimate the price of 1 m² of the land 4 km from the Melbourne city centre. State whether your estimate is reliable and justify your answer. 21. 22 1 m² price (thousand AUD)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

The average price for one square metre of land is recorded for seven different locations in
Melbourne, Australia. The following table shows the average prices for these zoom in 1
the distances from the centre of the Melbourne city. This data is also shown on the scatter
diagram below.
Distance from city centre,
km (x)
Price for 1 m² of land, in
thousands AUD (y)
1.2
a
3.1
3.3
4.8
5.2
2.4
1.8
1.4
1.3
0.8
2.5
1.5
0.5
1
3
4
6
Distance (km)
(a) Use the scatter diagram to find the value of a and b in the table.
15
16
(b) Calculate
(i) the mean distance from the Melbourne city centre, ;
17
(ii) the mean 1 m² price, in thousands AUD, ğ; 18
(iii) the Pearson's product-moment correlation coefficient, r.
19
(c) Write down the equation of the regression line y on x.
20
(d) Use the line of the regression equation to estimate the price of 1 m² of the land 4 km
from the Melbourne city centre. State whether your estimate is reliable and justify your
answer. 21
22
1 m² price (thousand AUD)

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