Given the Following Statistics of a Multiple Regression Model, Can $x _ { 1 }$

question 39

Essay

Given the following statistics of a multiple regression model, can we conclude at the 5% significance level that $x _ { 1 }$ and y are linearly related?
n = 42 k = 6 $b _ { 1 } =$ -5.30 $s _ { b _ { 1 } } =$ 1.5

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Definitions:

Annually

Occurring once every year or relating to a period of one year.

Coupon Bond

A type of bond that pays the holder periodic interest payments called coupons and returns the principal at maturity.

Yield To Maturity

The total return expected on a bond if held until it matures, considering all interest payments and principal repayment.

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The face value of a bond or the stock value stated in the corporate charter, often used as a reference point for the bond's interest payment.