Does running an ANOVA give the same p-value results as running a regression analysis when testing the difference in group means?

Give the results of the regression analysis below, what is the correlation coefficient?

Given the results for tenure-ship vs teaching evaluation, if our null hypothesis is that there is no difference in mean evaluation scores for professors who are tenured vs professors who are not tenured. What will be the conclusion of the t-test statistics?

We run a regression analysis in place of a t-test to test if there is a difference in number of students enrolled in classes with professors who are native english speakers (English_speakers = 1) vs professors who are not (English_speakers = 0). The table is shown below. What does the coefficient for English_speakers mean?

Which of these are correct about correlation coefficient? (Select all that apply)

Which of these options is most likely to be the null hypothesis for testing correlation between two variables?

If we ran a regression analysis between two continuous variables amount of time spent running on a treadmill vs the amount of calories burnt. If I get a coefficient of 0.33 for the amount of time running on the treadmill and an R-square value of 0.81. What is the correlation coefficient?

Which of the following best explains a scatter plot?