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A linear regression of a variable Y against the explanatory variables X1 and X2 produced the...

A linear regression of a variable Y against the explanatory variables X1 and X2 produced the following estimation model:

Y = 1615.495 + 9.957 X1 + 0.081 X2 + e

(527.96) (6.32) (0.024)

The number in parentheses are the standard errors of each coefficients

i. State the null and alternative hypothesis for the coefficients

Select the appropriate test, compute the test statistic based on the information above, and test the null hypothesis for each coefficient by using a level of significance equal to 5%

ii. Which parameters are statistically significant? Rewrite the model again by using only the coefficients, which are statistically significant

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