The Directors Board of a bank wants to study the relationship between the percentage change of performing loans (Y), the rate of economic growth (X), the lending interest rates (R) and the percentage change of banking products promotion funds (Z), annually. The Board uses the linear regression model

 

where the standard errors (standard errors) are given in parentheses.

By using the p-value approach, examine the null hypothesis that the percentage change of banking products promotion funds has no effect (positive or negative) on the percentage of performing loans of the bank

Examine whether the rate of economic growth has a positive impact on the percentage of performing loans

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Y₁ =B₁ + B₂X₁ + B₂ R₂ + B₁Z₁ +u₂, t=1976,1982. 2021 (years), and the estimation output is: Y = 15.222+22,868 X, +12,117 R, +10,012 Z, +û,, R² = 0,891558, RSS = 0,7586 (10.114) (4,133) (9,103) (6,869) Y₁ =B₁ + B₂X₁ + B₂ R₂ + B₁Z₁ +u₂, t=1976,1982. 2021 (years), and the estimation output is: Y = 15.222+22,868 X, +12,117 R, +10,012 Z, +û,, R² = 0,891558, RSS = 0,7586 (10.114) (4,133) (9,103) (6,869)

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