Question: A study was done in which the high daily temperature and the number of traffic accidents within the city were recorded. These sample data are

A study was done in which the high daily temperature and the number of traffic accidents within the city were recorded. These sample data are shown as follows, and it is known that the sum of squares due to error is 33.56:

High TemperatureTraffic Accidents

917

564

759

6811

503

395

988

a)Find the estimated regression equation and interpret the value of the slope.

b)Compute the coefficient of determination and comment on the strength of relationship between x and y.

c)Compute the sample correlation coefficient and interpret its value.

d)Calculate the estimated standard error of the slope.

e)Perform a t test for the significance of the slope. Let = 0.05.

f)Perform an F test for the significance of the slope. Let = 0.05.

g)Based on the above estimated regression equation, if the independent variable is 30 and the actual value of y is 3, calculate the residual.

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