Question

Identify the Test Statistic and P-Value

Variable Intercept A study of 35 secretaries' yearly salaries (in thousands of dollars) was done. The researchers want to predict salaries from several other variables. The variables considered to be potential predictors of salary are months of service years of education score on a standardized test (X3), words per minute (wpm) typing speed (x4), and ability to take dictation in words per minute A multiple regression model with all five variables was run. Coef 9.984 0.115 0.068 0.097 0.008 0.065 Std. Error 0.372 0.014 0.025 0.032 0.302 0.027 t-value 26.839 8.214 2.720 3.031 0.026 2.407 b) From this model, what is the predicted salary y (in thousands of dollars) of a secretary with 6 years (72 months) of experience, 11th grade education (11 years of education), a 52 on the standardized test, 58 wpm typing speed, and the ability to take 29 wpm dictation? The predicted salary is 26.4 thousand dollars. (Round to one decimal place as needed.) c) Test whether the coefficient of words per minute of typing speed (X4) is significantly different from zero at a = 0.05. State the hypotheses. A. Ho: Typing speed contributes nothing useful after allowing for the other predictors in the model, B4 = 0 HA: Typing speed makes a useful contribution to the model, BA #0 OB. Ho: Typing speed contributes nothing useful after allowing for the other predictors in the model, B4 70 HA: Typing speed makes a useful contribution to the model, B2 = 0 O C. Ho: Typing speed makes a useful contribution to the model, B4 = 0 HA: Typing speed contributes nothing useful after allowing for the other predictors in the model, B4 70 Ho: Typing speed makes a useful contribution to the model, B4 70 HA: Typing speed contributes nothing useful after allowing for the other predictors in the model, B4 = 0 Identify the test statistic.

Answer 1

c) H₀ : Typing speed contributed nothing useful after allowing for the other predictors in the model,

B4 = 0

H_A : Typing speed makes a useful contribution to the model,

07 g

The value of test statistic t = 0.026

P-value

= P(n-6 > tobs)

= P(|t29 > 0.026)

= 2* P(t29 > 0.026)

= 2* [1 - P(t29 < 0.026)

=2+1-0.5102823)

=2+0.4897177

= 0.9794354

<0.9794