Please perform an F test of the claim that the year the home was built has no effect on housing prices (B4=0, B5=0).In your answer, please clearly provide the null and alternative hypothesis of your test, the test statistic that you will use, the critical value of your test statistic, and the result of the test.

F distribution with 2 and 307 degrees of freedom:3.025

F distribution with 2 and 309 degrees of freedom:3.025

F distribution with 7 and 309 degrees of freedom:2.039

F distribution with 32 and 284 degrees of freedom:1.485

Regression 1 (Core regression): In(Price;) = $1 + B2SQFT; + Baln (LotSize); + BAYear, + BsYear? + Boln (Beds;) + B,North; + BgDistance; + ei InQ: natural logarithm function Parameter Standard Error of Variable Estimate (B) Parameter Estimate (se (B)) p-value of t 244.9069 Constant 60.73357 4.03248 6.96E-05 SOFT 0.00017 1.63E-05 10.41908 5.54E-22 In(LotSize) 0.145776 0.022413 6.504084 3.14E-10 Year -0.24011 0.06187 -3.88083 0.000127 Year 2 6.18E-05 1.57E-05 3.9282 0.000106 In(Beds) 0.016019 0.035124 0.456066 0.648663 North 0.142644 0.018751 7.607393 3.4E-13 0.00649 Distance 0.007964 0.814997 0.415702 0.8574 Explained Sum of 20.712 R Squared Squares (ESS) 265.4 F Statistic (Model as a (p-value: Residual Sum of 3.445 Whole)