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The scatter plot shows the relationship between the test scores of a group of students and the number of hours they study in a week: On a grid, Label Hours Studying on x axis and Test Scores on y axis. The title of the graph is Test Scores and Hours Studying. The scale on the x axis shows the numbers from 0 to 10 at increments of 1, and the scale on the y axis shows numbers from 0 to 100 at increments of 10. Dots are made at the ordered pairs 1.1, 10 and 2, 25 and 3.1, 10.1 and 4, 30 and 4, 45 and 5, 45 and 6, 25 and 6.5, 60 and 7, 45 and 7.5, 50 and 7.5, 75 and 8, 60 and 8.5, 75 and 9, 60. The ordered pair 1, 100 is circled and labeled as M. All the other points are put in an oval and labeled as N. Part A: What is the group of points labeled N called? What is the point labeled M called? Give a possible reason for the presence of point M. (5 points) Part B: Describe the association between students' test scores and the number of hours they study. (5 points)
I think that point \(M\) can be an isolated value, since it refers to a very clever student
whereas the group \(N\) represents the average global behaviour of the students
ok so can you explain part A and part B can you explain what the answer is for both of them?
the answers before represent part A
for part B, I give the subsequent hint: there is a causality relation between the hours spent to study and the corresponding test score which a student can get
so thats the answer (: ??
no, no it is my hint, for part B
is the answer 80 ?
part B asks for a qualitative answer. Now a causality relation between two variables, means that the correlation coefficient \(r\) between such variables is such that: \[\Large \left| r \right| \simeq 1\]
so how should i write that out for part B can you show me ?
has your teacher explained the correlation coefficient?
yes can you write the answer for me for part be out please so we can resume to the next question?
here is a possible answer for part B "The group labelled with \(N\) shows a causality relation between the students and the test scores, so such points can be fitted by a \(straight\; line\), and the corresponding correlation coefficient \(r\), is such that: \(\left| r \right| \simeq 1\)"
oops.. between the hour of studying and the students test scores
Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool: Main title on the graph is Swimming Pool Population. Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of People at the Pool. Dots are made at the ordered pairs 2.5, 1 and 5, 2 and 7.5, 2 and 7.5, 3 and 7.5, 4 and 10, 5 and 10, 6 and 12.5, 6 and 15, 7 and 15, 8 and 17.5, 5 and 17.5, 7 and 20, 9 and 22.5, 7 and 22.5, 9 and 25, 11 and 27.5, 12. Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points) Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work. (5 points)