Question

In a study of Math SAT scores done in 2010, the investigators
computed the average Math SAT score ( Ai )in each of the 50 states
and D.C. and the percentage ( P_{i} ) of high school
seniors in each state that took the test that year. They found that
the correlation between the variables A and P was r = -0.77.

(a) Does this mean that the test scores were better on average
in states where fewer a lower percentage of students took the test?
Answer * yes* or

(b) The average Math SAT score in NY was 515 in 2010, while in
Montana, the average score was 603. Does this mean that Montana
does a better job preparing students for the Math SAT test than NY
state? Answer * yes* or

Answer #1

**A)**

**a)**

When the correlation is negative, it means they are negatively related. When one increases, other decrease and vice-versa.

When a less number of students took the test, then the average was more, This is what can be concluded from a negative correlation.

**Yes is the answer.**

**b)**

Here, it doesn't talk about the preparation at all.

If the score is high, it means there were less number of students and vice-versa. Saying that NY students prepared less as compared to Montana student because they got the less average marks won't be appropriate here.

**No is the answer.**

In a study of Math SAT scores done in 2010, the investigators
computed the average Math SAT score ( Ai )in each of the 50 states and D.C.
and the percentage ( Pi )of high school seniors in each
state that took the test that year. They found that the correlation
between the variables A and P was r = -0.77.
(a) Does this mean that the test scores were better on average
in states where fewer a lower percentage...

In a study of Math SAT scores done in 2010, the investigators
computed the average Math SAT score ( A i )in each of the 50 states
and D.C. and the percentage ( P i )of high school seniors in each
state that took the test that year. They found that the correlation
between the variables A and P was r = -0.77.
(a) Does this mean that the the test scores were better on
average in states where fewer...

In a study of Math SAT scores done in 2010, the investigators
computed the average Math SAT score ( A i )in each of the 50 states
and D.C. and the percentage ( P i )of high school seniors in each
state that took the test that year. They found that the correlation
between the variables A and P was r = -0.77.
(a) Does this mean that the the test scores were better on
average in states where fewer...

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Suppose that the national average for the math portion of the
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