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(1)Consider the following question or pairs of variables and identify the respon

ID: 3297042 • Letter: #

Question

(1)Consider the following question or pairs of variables and identify the response and explanatory variables

(a) Is federal spending, on average, higher or lower in counties with high rates of poverty?

(b) college grade point and high school grade point average

(2) use the tabel below that contains the marginal total (Sum) to calculate the proportion of emails flagged as spam and not flagged as spam by dividing each frequency by the total.

what do these two proportions add up to? will that always be the case?

addmargins(table(email$spam)) 0 1 Sum ##3554 367 3921

Explanation / Answer

(1)

(a) Is federal spending, on average, higher or lower in counties with high rates of poverty?

As, we need to determine the federal spending based on the rates of proverty, the

respose variable is federal spending and

explanatory variable is rates of proverty.

(b) college grade point and high school grade point average

As, we need to determine the college grade point based on the average high school grade point, the

respose variable is college grade point and

explanatory variable is average high school grade point.

(2)

Number of emails flagged as spam = 367

Number of emails not flagged as spam = 3554

Total number of emails = 3921

Proportion of emails flagged as spam = Number of emails flagged as spam / Total number of emails

= 367 / 3921 = 0.0936

Proportion of emails not flagged as spam = Number of emails not flagged as spam / Total number of emails

= 3554 / 3921 = 0.9064

Sum of both proportions = 0.0936 + 0.9064 = 1

So, the sum of both the proportions is 1. Yes, the sum of all proportions is always 1.