You may need to use the appropriate technology to answer this question. We want to test whether or not the addition of 3
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You may need to use the appropriate technology to answer this question. We want to test whether or not the addition of 3
You may need to use the appropriate technology to answer thisquestion. We want to test whether or not the addition of 3variables to a model will be statistically significant. You aregiven the following information based on a sample of 25observations. ŷ = 62.430 − 1.837x1 + 25.630x2 SSE = 745; SSR = 556The model was also estimated including the 3 variables. The resultsare: ŷ = 59.250 − 1.766x1 + 25.635x2 + 16.236x3 + 15.292x4 −18.722x5 SSE = 540; SSR = 761 (a) State the null and alternativehypotheses. H0: 𝛽3 = 𝛽4 = 𝛽5 = 0 Ha: One or more of the parametersis not equal to zero. H0: One or more of the parameters is notequal to zero. Ha: 𝛽1 = 𝛽2 = 𝛽3 = 𝛽4 = 𝛽5 = 0 H0: 𝛽1 = 𝛽2 = 𝛽3 = 𝛽4= 𝛽5 = 0 Ha: One or more of the parameters is not equal to zero.H0: One or more of the parameters is not equal to zero. Ha: 𝛽3 = 𝛽4= 𝛽5 (b) Test the null hypothesis at the 5% level of significance.Find the value of the test statistic. (Round your answer to twodecimal places.) Find the p-value. (Round your answer to threedecimal places.) p-value = Is the addition of the three independentvariables significant? Do not reject H0. We conclude that theaddition of the three independent variables is not statisticallysignificant. Reject H0. We conclude that the addition of the threeindependent variables is statistically significant. Reject H0. Weconclude that the addition of the three independent variables isnot statistically significant. Do not reject H0. We conclude thatthe addition of the three independent variables is statisticallysignificant.