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Relationships
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Which graph fits the description best?
The relationship between x and y is a strong, positive linear relationship. A B C D
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Which graph fits the description best?
The relationship between x and y is a weak, positive linear relationship. A B C D
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Which graph fits the description best?
The relationship between x and y is a scattered relationship. A B C D
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Explanatory v. Response
You are working for Apple and are investigating customers buying habits. You want to see if how many ipods a customer owns will affects the number of ipads they will purchase. What is the Explanatory Variable? What is the Response Variable? What kind of a relationship will you expect?
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Slope 𝑆 𝑦 𝑆 𝑥 * r = slope for the line of best fit
Line of best fit: y = mx + b
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Interpret Slope Create a general sentence that explains what the slope means As X increases by one unit, Y will increase by Slope units.
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Y-intercept Line of best fit: y = mx + b
What is an x and y you could use in the equation?
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Interpret intercept What does x equal at the y-intercept?
Create a generic sentence that explains what the intercept means When X equals zero, Y equals intercept
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R-squared Write a generic sentence that explains what R-squared means?
( 𝑅 2 ∗100)% of the variance in Y can be explained by X
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Which graph matches the 𝑅 2 value
𝑅 2 =1 A B C D
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Which graph matches the 𝑅 2 value
𝑅 2 =0.13 A B C D
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Which graph matches the 𝑅 2 value
𝑅 2 =0.64 A B C D
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Apple You obtain the following results Describe the relationship
# of ipods # of ipads 1 4 2 3 5 You obtain the following results Describe the relationship
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Apple 𝑦 =−0.55𝑥+3.19 𝑅 2 =0.212
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