A regression model was fit for 20 cities with latitude as the explanatory variable (x) and average January temperature as the response variable (y). The regression equation is yˆ = 49.4 – 0.313 x . The city of Pittsburgh, Pennsylvania has latitude 40 degrees with average January temperature of 25 degrees Fahrenheit. What is the estimated average January temperature for Pittsburgh, based on the regression equation? What is the residual
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Answer:
-11.88
Explanation:
y^ = 49.4 - 0.313x
= 49.4 - 0.313 * 40
= 49.4 - 12.52
= 36.88
residual = observed value - predicted value
= 25 - 36.88
= -11.88
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