CHARACTERS:➜ Ms. Reyes – Their statistics teacher➜ Ken – Analytical friend, good with numbers➜ Mia – Curious student, asks lots of questions
שקופית: 3
Ken, what are these dots supposed to mean?
שקופית: 6
It looks kind of like a straight line!
So the form is linear.
שקופית: 8
Mia and Ken are working on a statistics assignment about relationships between study time and test scores. With guidance from Ms. Reyes, they explore scatter plots and learn how to compute and interpret Pearson’s correlation coefficient.
The dots go upward from left to right!
שקופית: 11
The dots are kinda close together…
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To measure that relationship, we use Pearson’s r.
שקופית: 14
That looks complicated...
שקופית: 27
So scatter plots show the pattern…
שקופית: 29
Exactly, you're right...
שקופית: 30
What if the dots were scattered everywhere?
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Let’s connect it back to the scatter plot.
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You’ve got it!
שקופית: 36
Every dot tells a story.
- THE END -
שקופית: 37
CHARACTERS:➜ Ms. Reyes – Their statistics teacher➜ Ken – Analytical friend, good with numbers➜ Mia – Curious student, asks lots of questions
Mia and Ken are working on a statistics assignment about relationships between study time and test scores. With guidance from Ms. Reyes, they explore scatter plots and learn how to compute and interpret Pearson’s correlation coefficient.
שקופית: 0
That’s a scatter plot. Each dot represents two values—like study hours and test scores.
Exactly. Now, let’s analyze it. First—what’s the form
Good. Now, what about variation?
That means a positive trend—more study time, higher scores.
Next, identify the trend.
So, low variation—strong relationship.
Let’s break it step by step!
So, here's our data...
First, find the mean of x and y!
So, the Mean of x is 2.5, and the Mean of y is 68.75
And now, subtract the means and multiply deviation
After calculating everything…
We got the numerator and denominator!
So the final answer is r ≈ 0.98..
Whoa, that’s close to 1!
Yes, that means a strong positive correlation..
So studying more really helps!
And the Trend is Positive...
Lastly, the Variation is Low...
So, the Form is Linear
…and Pearson’s r measures how strong it is!
Then r would be near 0—no correlation.
Scatter plots and Pearson’s r aren’t so scary after all...
Yeah—just dots, patterns, and a little math.
And now you can interpret data like pros.
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