Consider the following set of dependent and independent variables. Complete part

Question

Consider the following set of dependent and independent variables. Complete parts a through e below y 46 43 41 39 31 27 22 18 10 x1 75 64 78 53 43 47 34 16 16 x2 22 29 20 17 12 16 7 16 10 a. Use technology to identify the SST, SSR, and SSE SST 1239.56 (Round to two decimal places as needed) SSR 1137.83 (Round to two decimal places as needed.) SSE 101.73 (Round to two decimal places as needed b. Calculate the multiple coefficient of determination. R20918 (Round to three decimal places as needed.) c. Test the significance of the overall regression model using a-0.10 What are the null and alternative hypotheses for this test? A. Ho P1 2 (No relationship between the variables) H4: ß1 # ß2 (Relationship exists between the variables) H1 1 2 (No relationship between the variables) HI: At least one B#0 (Relationship exists between the variables) B. Ho p, # ß2 (Relationship exists between the variables) ??. ?? ß,-ß2:0 (No relationship between the variables) Identify the value of the F-test statistic. F 33.55 (Round to two decimal places as needed

Explanation / Answer

Because the F-statistic is greater than the critical F score, Reject Ho and conclude that atleast one population coefficient of the independent variables is not equal to zero.

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