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Suppose the table below gives the average June and December temperatures (in Fahrenheit) for eight cities in the continental United States. City June December

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Suppose the table below gives the average June and December temperatures (in Fahrenheit) for eight cities in the continental United States. City June December City 1 54.0 17.6 City 2 64.7 16.2 City 3 66.7 34.7 City 4 68.9 27.7 City 5 81.3 47.1 City 6 71.4 38.7 City 7 90.5 56.1 City 8 63.6 39.4 A regression equation could be computed to relate x = average June temperature and y = average December temperature across cities. Answer the following questions without actually computing the regression equation. (a) Would the vertical intercept of this regression equation have a useful interpretation in this situation? If you think not, explain why not. If you think it would, give the interpretation. No . The vertical intercept would be the predicted average December temperature of 0.8631 X, which is not temperature for a city with an average June within the range of June temperatures for the data shown. (b) Would the slope of this regression equation have a useful interpretation in this situation? If you think not, explain why not. If you think it would, give the interpretation. No, the slope would be the predicted difference in average June temperatures for two cities that differed by 1 degree in average June temperatures. This is not a useful interpretation.

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