Answer:
4.038
Step-by-step explanation:
The simple regression model is:
[tex]Time = \hat\beta _{0} + \hat\beta_{1}Distance = -7.126 + 0.0214Distance[/tex], then [tex]\hat\beta_{1} = 0.0214[/tex].
The statistic calculated for the hypothesis test of statistical significance, for the slope, in a simple regression model is given by:
[tex]t_{c} = \frac{\hat\beta_{1}-\beta_{1_{0}}}{SE}[/tex]
with [tex]\hat\beta_{1}[/tex] the slope estimator, [tex]\beta_{1_{0}}[/tex] the value of slope in the null hypothesis and [tex]SE[/tex] the standard error of the slope. Thus,
[tex]t_{c} = \frac{0.0214-0}{0.0053} = 4.038[/tex]
