Eighteen data points on M and X are used to estimate the quadratic regression model M = a + bX + cX². A new variable, Z, is created to transform the regression into a linear form. The computer output from this regression is

a. What is the variable Z equal to?b. Write the estimated quadratic relation between M and X.c. Test each of the three estimated parameters for statistical significance at the 2 percent level of significance. Show how you performed these tests and present the results.d. Interpret the p-value for c?.e. What is the predicted value of M when X is 300?

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DEPENDENT VARIABLE: M R-SQUARE F-RATIO P-VALUE ON F OBSERVATIONS: 18 0.6713 15.32 0.0002 PARAMETER STANDARD VARIABLE ESTIMATE ERROR T-RATIO P-VALUE INTERCEPT 290.0630 53.991 5.37 0.0001 -5.8401 2.1973 -2.66 0.0179 0.07126 0.01967 3.62 0.0025