Hello, thank you for your help!

Below are questions that I have already answered with rationale but wanted a second pair of eyes in case they are incorrect and I need to do some more reading to understand them better. Question is here is are my answers and rationales correct? I decided to cluster a few questions together because I am fairly confident in some of them ( i re-ordered based on least confident to most confident) please let me know if this is not allowed.

A data point far from the mean of both the x's and y's is always:

Group of answer choices

A)an influential point and an outlier

B)a leverage point and an influential point

C)an outlier and a leverage point

D)None of the above

I chose D because a far data point is not always any of the above. It could be an outlier or a leverage point.

Is this correct?

In ANOVA, when testing for equal means across groups, the alternative hypothesis can be stated as,

A)the means of all pairs of groups are different

B)the means of all groups are equal

C)the means of at least one pair of groups is different

D)None of the above

Is this correct?

I chose C because the alternative hypothesis states the means are not all equal. I felt like C was a safer answer than A where if just 1 pair of groups is different, we can reject the null hypthesis.

To test if a regression coefficient is less than a critical value,C

, we conduct a one-sided test on the _________ tail of a ___________ distribution.

A)left, t

B)left, normal

C)right, normal

D)right, t

ENone of the above

I chose A because we are looking at less than the critical value and a t-distribution as we are testing regression coffiecients which are errors and its a sample distribution so it is a T distibution and not a normal distribution.

Is this correct?

The F-test is a _________ tailed test with ______ and ______ degrees of freedom.

A)one, k-1, N-k

B)one, k, N-k

C)two, k-1, N-k

D)two, k, N-1

E)None of the above

F test is a right tailed test with k-1, and N-k per the formula

Is this correct?

Using the table above, what is the standard error of the intercept, labeledA, and rounded to three decimal places?

A)2.336

B)0.808

C)0.806

D)-0.806

E)None of the above

The formula is t = B hat - B0 / Standard Error. - C is correct because of the sign and its is not B because then the t-value is round up to 1.71

[1.4 Statistical Inference] Using the table above, what is the t-value of the coefficient forwaiting, labeledB, and rounded to three decimal places?

A)3.939

B)3.931

C)3.935

D)None of the above

Same formula above applies.

In simple linear regression, the sampling distribution of^0

is a

A)chi-squared distribution

B) t-distribution

C)normal distribution

D)None of the above