A county real estate appraiser wants to develop a statistical model to predict the appraised value of houses in a section of the county called East Meadow. One of the many variables thought to be an important predictor of appraised value is the number of rooms in the house. Consequently, the appraiser decided to fit the linear regression model E(y)equalsbeta 0plusbeta 1x, where y equals the appraised value of the house (in thousands of dollars) and x equals the number of rooms. Using data collected for a sample of nequals74 houses in East Meadow, the following result was obtained. ModifyingAbove y with caretequals74.80plus19.83x Give a practical interpretation of the estimate of the slope of the least squares line.

Express the following as a function of a single angle. cos(60) cos(-20) - sin(60) sin(-20)

Design an er diagram for keeping track of information about votes taken in the u.s. house of representatives during the current two-year congressional session. the database needs to keep track of each u.s. state's name (e.g., texas', new york', california') and include the region of the state (whose domain is {northeast', midwest', southeast', southwest', west'}). each congress person in the house of representatives is described by his or her name, plus the district represented, the start date when the congressperson was first elected, and the political party to which he or she belongs (whose domain is {republican', democrat', 'independent', other'}). the database keeps track of each bill (i.e., proposed law), including the bill name, the date of vote on the bill, whether the bill passed or failed (whose domain is {yes', no'}), and the sponsor (the congressperson(s) who sponsored - that is, proposed - the bill). the database also keeps track of how each congressperson voted on each bill (domain of vote attribute is {yes', no', abstain', absent'}). additional information:

Let x = a + bi and y = c + di and z = f + gi. which statements are true?