Question

Part C (Based off week 12 workshop content) Since the implementation of the CityCycle scheme in October 2010, the Bris- bane council has recorded the number of CityCycle trips every month. The results are available in the 'CityCycleData.csv' file on Blackboard 1. Import the data into MATLAB using the csvread function, and then visualise the data with the scatter function. Comment on whether a linear model would be appropriate to use 2. Use the fitlm function to conduct a linear regression on the data What is the equation for the linear model? 3. Construct a 95% confidence interval for the slope and y-intercept of the linear model. 4. Is there significant evidence (using a significance level of α-0.05) to show that the number of trips is affected by month. Explain why. 5. What proportion of total variance of trip numbers is being accounted for by month?

Answer 1

Answer:

IF YOU HAVE ANY DOUBTS COMMENT BELOW I WILL BE TTHERE TO HELP YOU..ALL THE BEST..

AS FOR GIVEN DATA.

Matlab:

%Linear Regression
clc
M = csvread('CityCycleData.csv',1,0); %reading and storing in M
x = M(:,1); %Month number
y = M(:,2); %Total City Cycle Trips

figure, hold on
scatter(x,y)
% Yes from scatter plot we can see that the trend is approximately linear
% equation is in form: y = x1*x + intercept
% and values of x1 and intercept are mentioned in table of mdl
mdl = fitlm(x,y)

%function representing our linear equation
% y = mx + c
f = @(x) x*617.97 + (-2.1062);

SE = mdl.Coefficients(:,2);
SE = SE{:,'SE'};
alpha = 1 - 95/100;
crtical = 1 - alpha/2;
%interval for intercept and x with 95% confidence
interval = SE .* crtical

%Q4
%pValue is smalller than than alpha mentioned = 0.05 (pValue < alpha)
%so we can say that from observing table that
%the numbers of tickets are affected by months.

%Q5
%total sum of squares
SS_total = sum(y - mean(y))^2;
%regression sum of squres
SS_regression = sum(f(x) - mean(y))^2;

% Proportion of total variance of trip numbers that are being accounted for
% by month
R = 1 - SS_total / SS_regression

I HOPE YOU UNDERSTAND..

PLS RATE THUMBS UP..ITS HELPS ME ALOT..

THANK YOU...!!