A simple linear regression model has been developed and an F test is going to be conducted to determine I.vhether the model is staslicallyr signicant. Select whether each statement about the F test is correct or not correct. Correct Not correct a) The F test is a two-tail test. b) The F test assesses whether the parameter B1 is 0. O O c) The test statistic used in the F test is the ratio of the regression sum of squares and the error sum of squares. O O An investor plans to develop a regression model for the appraisal value (in thousands of dollars] of property in her city [Y] based on 5 numerical variables: Y = Bo + BLXL + Sex: + Bsxs + I34x4 + Bsxs + E The investor would like to test whether or not the model has any signicance. That isr she would like to test the hypotheses: H0131=|32=l33=i34=35=0 HA: not all BJ- are zero A sample of 30 items are drawn and the data is used to create the prediction equation: y = b0 + blxl + bzxz + b3x3 + b4x4 + b5x5 The regression sum of squares {SSRJ is calculated to be 413.1 and the error sum of squares (SSE) is calculated to be 522.9. An F test is conducted to test the above hypotheses. a] Calculate the test statistic (F) for this test. Give your answer to 2 decimal places. b) with a 99% level of confidence, the investor reject the null hypothesis