

AI HL: Regressions Overview (4.4,4.10,4.12)
Presentation
•
Mathematics
•
12th Grade
•
Practice Problem
•
Easy
+6
Standards-aligned
Benito Toscano
Used 4+ times
FREE Resource
10 Slides • 27 Questions
1
By Benito Toscano
2
Match
DO NOW: Match each function to its general form.
y=mx+c
y=ax^2+bx+c
y=ab^x
y=ax^b
y=a+bln(x)
Linear
Quadratic
Exponential
Power
Logarithmic
Linear
Quadratic
Exponential
Power
Logarithmic
3
LO and DoL
LO: Students will determine the curve of best fit using various regressions and use these curves to make predictions.
DoL: Students will complete a multi-part, IB-Style problem over regressions with at least 80% accuracy
4
Form of y=mx+c
CALC STEPS: Data in Spreadsheet => Menu => Stat => Stat Calc => Linear Regression (mx+b)
Linear Regression
5
Open Ended
Write the equation of the regression LINE for the following data in the form y=mx+c. Round all coefficients to three sig figs.
6
A value that tells you strength of correlation (strong or weak), and which DIRECTION the variables are correlated (positive or negative)
Correlation Coefficient
7
Open Ended
Write the value of the correlation coefficient for the previously calculated line of best fit. Round to three sig figs.
8
Open Ended
Why do you think this exemplar is two marks?
9
Draw
Circle where they are awarding marks on here.
10
Multiple Choice
Hence, our data has a ___________ __________ correlation.
Strong Positive
Weak Positive
Weak Negative
Strong Negative
11
Draw
Circle where they are awarding marks on here.
12
Open Ended
13
REMEMBER!
For all regressions it is important to keep track of which measurement is attached to which variable.
14
Match
Match each measurement to its variable
Weight
Height
Mr. T
X
Y
The best math teacher you've ever had
X
Y
The best math teacher you've ever had
15
Multiple Choice
We want to predict how tall someone who weighs 175 pounds would be. We would substitute 175 in for...
x
y
16
Open Ended
Hence, the predicted height for someone with a weight of 175 pounds would be....
17
Open Ended
Now, predict the weight for someone that is 5 foot 10 and a half.
18
Open Ended
Where are the two marks coming from on this exemplar?
19
From your EdPuzzle
Other types of regressions!
20
Open Ended
Which regression type do you think will cause you the most issues on the exam?
21
Multiple Select
Which do you think best fits this data set?
Quadratic
Cubic
Exponential
Sinusoidal
22
Draw
Circle the words that are most important for this problem.
23
Open Ended
24
Open Ended
Where do you think the marks are coming from on this question? Three total!
25
Between 0 and 1
A measure of how well our chosen model fits the data set
Coefficient of Determination
26
Open Ended
Which would have a bigger coefficient of determination? Why?
27
Open Ended
Write down the coefficient of determination for the cubic regression curve from before.
28
Draw
Where is the one mark coming from? Annotate the exemplar.
29
Open Ended
Using the cubic model from before, predict the y-value for an x-value of 5.
30
Numerical Solve Function
Calculator => Menu => Algebra => Numerical Solve
Disclaimer: Only gives one answer though. Use graph for something that should have multiple answers.
31
Open Ended
Using the cubic model, predict the x-value for a y-value of 10.
32
Spearman's Rank Correlation
R-Value between RANKS
33
Draw
Complete the rankings for this data
34
Draw
Circle where the marks come from on this ranking exemplar.
35
Ties in ranks!
Figure out which places they are tied for.
Average these ranks.
They get the same rank!
36
Draw
Rank this data.
37
Open Ended
When finding ranks, Kalino accidentally read the Netherlands' score as 478. Why wouldn't this affect Spearman's rank correlation coefficient?
By Benito Toscano
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