Relationships

Which graph fits the description best? The relationship between x and y is a strong, positive linear relationship. A B C D

Which graph fits the description best? The relationship between x and y is a weak, positive linear relationship. A B C D

Which graph fits the description best? The relationship between x and y is a scattered relationship. A B C D

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?

Slope 𝑆 𝑦 𝑆 𝑥 * r = slope for the line of best fit Line of best fit: y = mx + b

Interpret Slope Create a general sentence that explains what the slope means As X increases by one unit, Y will increase by Slope units.

Y-intercept Line of best fit: y = mx + b What is an x and y you could use in the equation?

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

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

Which graph matches the 𝑅 2 value 𝑅 2 =1 A B C D

Which graph matches the 𝑅 2 value 𝑅 2 =0.13 A B C D

Which graph matches the 𝑅 2 value 𝑅 2 =0.64 A B C D

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

Apple 𝑦 =−0.55𝑥+3.19 𝑅 2 =0.212