A student was interested in the relationship between weight of a car and gas con

Question

A student was interested in the relationship between weight of a car and gas consumption measured in mpg. He selected sixteen different automobiles and recorded their weights along with their advertised mpg. The regression equation and regression plot are shown below. What affect would the addition of the point (4,300 lbs., 15.63mpg) have on the value of r2? It will have no effect on r2 because it lies on the line. It will have no effect on r1 because its value is the same as (x-,y-). It will decrease r2 because it is an outlier. It will increase r2 because it is an influential point which lies on the least squares line. It will increase r2 because every additional point will increase the percent variation in y due to the relationship with the least squares line.

Explanation / Answer

Option D is correct. Because, the point (4300 lbs, 15.63 mpg) lies on the leastsquare line and it is influence the least square regressionline. So, it is influential point.

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