Researchers at a car resale company are trying to build a model to predict a car's 4-year resale value (in thousands of dollars)from several predictor variables.The variables they selected are as below. Data were collected on cars of different models made by different manufacturers.SPSS output for the least-squares regression model is given below. An F test for the two coefficients of type and engine is performed.The hypotheses areH₀: $\beta$₁ = $\beta$₃ = 0 versus H_a: at least one of the $\beta$_j is not 0.The F statistic for this test is 12.21 with 2 and 115 degrees of freedom.Do we reject the null hypothesis at the 5% significance level?

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The Answer of Researchers at a car resale company are trying to build a model to predict a car's 4-year resale value (in thousands of dollars)from several predictor variables.The variables they selected are as below. Data were collected on cars of different models made by different manufacturers.SPSS output for the least-squares regression model is given below. An F test for the two coefficients of type and engine is performed.The hypotheses areH₀: $\beta$₁ = $\beta$₃ = 0 versus H_a: at least one of the $\beta$_j is not 0.The F statistic for this test is 12.21 with 2 and 115 degrees of freedom.Do we reject the null hypothesis at the 5% significance level?

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