A study aims to empirically measure the distinctive characteristics of customers who did and did not order food through Online Food Delivery services (OFDs) during the COVID-19 outbreak in India. Data are collected from 462 OFDs customers. In the study, whether or not the respondents ordered food through online food delivery services (OFDs) during the COVID-19 outbreak was taken as the dependent variable (0- do not order; 1-ordered); Age of the respondents, frequency of purchase of OFDs before the nationwide lockdown, respondents' perceived threat about COVID-19 through OFDs, perceived benefits of OFDs and respondents' level of product involvement about OFDs were taken to be the predictor variables [1]. Some of the results of logistic regression are given below:

Predictor	Coefficient Estimate	Standard Error	Wald Test Statistic	p-value
Age	0.016	0.018		0.353
Purchase Frequency	0.447	0.048	87.639	0.000
Perceived Threat	-0.031	0.005	32.952	0.000
Perceived Benefit	0.275	0.138	3.974
Product Involvement	0.297	0.147	4.064	0.044

Answer the following questions according to the study:

1. Give one main reason why we cannot use multiple linear regression in this case. (5 points)
2. Write down the logistic regression equation assuming that the intercept is zero. (5 points)
3. Find the Wald test statistic for "Age" coefficient. Show your work to get a full mark. (5 points)
4. Find the p-value for "Perceived Benefit" coefficient. Is the estimate statistically significant when =5%? Show your work to get a full mark. (Do not use any software or p-value calculators) (5 points)
5. Find the Estimated odds ratio for "Purchase Frequency" and interpret withing the context. Show your work to get a full mark. (10 points)
6. Find the 95% Confidence interval for the odds ratio for "Purchase Frequency". Interpret within the context. Show your work to get a full mark. (10 points)