Unit 3

Question 1

Sentence frame for slope

Answer 1

For every increase in one (unit) in (context of x), the predicted (context of y) will (increase/ decrease) by (slope) (units)

Question 2

Sentence frame for y intercept

Answer 2

For a (context of a x) that is 0 (units), the predicted (context of y) is (y intercept)

Question 3

Sentence frame for residual

Answer 3

The actual (context of y) is (residual) (higher/lower) than predicted, based on (context of x)

Question 4

Sentence frame for coefficient of determination

Answer 4

(R^2) % of the variation in (response variable) accounted for by the linear model relating (response variable) to (explanatory variable)

Question 5

Sentence frame for standard deviation (s)

Answer 5

When using the LSRL to predict the (response variable) using the (explanatory variable), our predictions will typically be off by (s) (context)

Question 6

A correlation is positive/negative based on the direction of

Answer 6

The slope

Question 7

Sentence frame for linear association

Answer 7

For every on (unit) increase in (explanatory variable), the (response variable) will (increase/decrease) by a constant amount

Question 8

When to interpret a strong association, what should you think of?

Answer 8

Think of residuals

If there is a strong association, the residuals are not large values.

If there’s a week association, the residuals are most likely large values