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A major car magazine has recently collected data on 30 leading cars in the U.S.market.It is interested in building a multiple regression model to explain the variation in highway miles.The following correlation matrix has been computed from the data collected:
The analysts also produced the following multiple regression output using curb weight,cylinders,and horsepower as the three independent variables.Note,a number of the output fields are missing,but can be determined from the information provided.
If the analysts are interested in testing whether the overall regression model is statistically significant,the appropriate null and alternative hypotheses are:
H0 : β1 = β2 = β3
Ha : β1 ≠ β2 ≠ β3
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