Question
In 2022, a charity had organised 87 events throughout the year to raise funds for local causes. Most of the events were hosted online
In 2022, a charity had organised 87 events throughout the year to raise funds for local causes. Most of the events were hosted online but more in-person events were organised in the latter half of the year. The charity want to investigate the relationship between the funds raised (in GBP after costs) and the event type (online or in-person) with respect to the number of people who attended the event. The charity's event manager has collected the data from the year and has fitted a linear regression model R. Write a short report based on the R output present on the next page. You report should contain an explanation of the model that the charity's event manager has fitted (be clear with your notation), provide appropriate advice on the relationship between funds raised and event type, and comment on the quality of the fitted regression model. Standardized residuals -2 0 1 2 3 Call: 1m (formula = funds_raised Residuals: num people + event_type, data charity_data) = Min -6685.2 -1959.5 1Q Median 3Q Max -354.1 1790.3 10079.7 Coefficients: (Intercept) num people event typeOnline Signif. codes: Estimate Std. Error t value Pr(>|t) -6295.3046 1253.6679 -5.022 2.89e-06 *** 2.0358 1266.0849 0.1008 770.0063 20.192 <2e-16 *** 1.644 0.104 ' 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' 1 Residual standard error: 3069 on 83 degrees of freedom Adjusted R-squared: 0.8715 Multiple R-squared: 0.8745, F-statistic: 289.2 on 2 and 83 DF, p-value: < 2.2e-16 Residuals -5000 0 5000 Residuals vs Fitted 01836 5000 10000 20000 -2 -1 0 Fitted values Normal Q-Q Theoretical Quantiles 30000 40000 60 VIStandardized residuals! 0.0 0.5 1.0 1.5 Scale-Location 1836 60 30000 40000 5000 10000 Event Type o In Person Online 20000 Fitted values Data Scatterplot Funds Raised () 25000 10000 40000 10000 15000 20000 Number of People at Event
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