Based on a random sample of voters, you run a regression for Y, the approval rating of the current president's handling of the economy (on a 0 to 100 scale). There are several explanatory variables, including the voter's stated party preference (Republican, Democrat, or Independent). Because this is a text variable, you create three dummy variables: R (1 if Republican, 0 otherwise), D (1 if Democrat, 0 otherwise), and I (1 if Independent, 0 otherwise). Which of the following can you conclude? a. If you include all three of these dummies in the regression, the sum of their estimated coefficients will have a meaningful interpretation.
b. If you include only the dummies Randl in the equation, and their coefficients are -5.2 and 1.3, this indicates that all else being equal (i. e., all other explanatory variables remaining constant), Democrats have the lowest average approval rating.
c. If you include only the dummies D and I in the equation, and their coefficients are 3.1 and 1.2, this implies that if you reran the same regression, except with only the dummies Rand I included, the estimated coefficients of R and I would be -3.1 and 4.3.
d. If you include only the dummies D and Rin the equation, and their coefficients are -4.7 and 5.4, this implies that if you reran the same regression, except with only the dummies D and I included, the estimated coefficients of D and I would be 10.1 and -5.4.

the 4th choice is the correct one

step-by-step explanation:

10010010001010010101001001010010100101010010101010010010101010110010001011010010010001

step-by-step explanation:

1; 35 is the ratio

step-by-step explanation:

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: