A study was carried out to relate yarn tenacity y in gtex to

A study was carried out to relate yarn tenacity (y, in g/tex) to yarn count (x_1 in tex), percentage polyester (x_2), first nozzle pressure (x_3, in kg/cm^2), and second nozzle pressure (X_4, in kg/cm2). The estimate of the constant term in the corresponding multiple regression equation was 6.123. The estimated coefficients for the four predictors were -0.082, 0.112, 0.259, and -0.215, respectively, and the coefficient of multiple determination was 0.954.Assuming that the sample size was n = 25, state and test the appropriate hypotheses to decide whether the fined model specifics a useful linear relationship between the dependent variable and at least one or the four model predictors. (Use alpha = 0.001.)State the appropriate hypotheses.

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