der the following four quantities for a regression coefficient: the estimate of the coefficient, the standard error of the coefficient, the t-value of the coefficient, and the p-value of the coefficient. Which of the following is true?   a. If the standard error increases and the estimate itself doesn't change, the magnitude of the t-value will decrease and the p-value will decrease.     b. If the standard error decreases and the estimate itself doesn't change, the magnitude of the t-value will increase and the p-value will decr

MATLAB: An Introduction with Applications
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Consider the following four quantities for a regression coefficient: the estimate of the coefficient, the standard error of the coefficient, the t-value of the coefficient, and the p-value of the coefficient. Which of the following is true?

  a. If the standard error increases and the estimate itself doesn't change, the magnitude of the t-value will decrease and the p-value will decrease.  
  b. If the standard error decreases and the estimate itself doesn't change, the magnitude of the t-value will increase and the p-value will decrease.  
  c. If the standard error decreases and the estimate itself doesn't change, the magnitude of the t-value will increase and the p-value will increase.  
  d. If the standard error increases and the estimate itself doesn't change, the magnitude of the t-value will increase and the p-value will decrease.
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