In: Statistics and Probability
According to given problem;
We have only the X-values that are ranges from X=100 to X=150.and we don't have the value of dependent variable (say Y).
Now;
Therefore from provided
picture we see that estimate of β depends also on dependent
variable not only on explanatory variables.
Also;
from above picture we see
that; the test statistic having a t-distribution .and Inn
denominator of test statistic there is standard error of β which
depends on dependent variables also.
Therefore from these we be reluctant to use our data to perform a hypothesis test on β0.