Statistics Interpreting Slope and Y Intercept

The table represents a used car salesman's monthly salary including commission made on the sale of cars.  What is the y-intercept and what does it represent?

• The y-intercept is $850/car and it represents the commission per car sold.

• The y-intercept is $1500/car and it represents the commission per car sold.

• The y-intercept is $1500 and it represents the monthly salary before commission.

• The y-intercept is $2775 and it represents the monthly salary before commission.

What is the meaning of the y-intercept?

• Mrs. Franklin's meal will cost $6.85 if she brings no grandchildren. 

• Mrs. Franklin's meal will cost $2.95 if she brings no grandchildren. 

• Mrs. Franklin's bill will increase by $2.95 for every grandchild she brings. 

• Mrs. Franklin's meal will decrease by $2.95 for every grandchild she brings.

What does the slope represent in this situation?

• The sloth runs 1 feet in 3 minutes

• The sloth runs 3 feet in 1 minute

• The sloth runs fast

• The sloth runs 6 feet in 1 minute

Which statement matches the graph?

• Taylor can write 6 words per minute

• Taylor can write 25 words per minute

• Taylor can write 50 words per minute

• Taylor can write 150 words per minute

• A
• B
• C
• D

• A
• B
• C
• D

Compare the initial values and the rates of change.

• The functions have different initial values and different rates of change.

• The rates of change are the same, but the initial values are different.

• The functions have the same initial value, but the rates of change differ.

• The y-intercepts are the same, but the rates of change differ.

The number of absences and the final grades were collected from 9 randomly selected students from a statistics class. A linear model for this relationship is 

ŷ = -3x + 96.14

What is the slope? Enter a numerical value only.

The number of absences and the final grades were collected from 9 randomly selected students from a statistics class. A linear model for this relationship is ŷ = -3x + 96.14

What is the y-intercept? Enter a numerical value only.

Match the following

• y-intercept

• Indicates the rate at which the y-variable (response) is changing.

• Slope

• Tells the form, direction, and strength of a correlation.

• r

  (Correlation Coefficient)

• Tells how accurate the response variable can be predicted by the explanatory variable

• r^2

  (Coefficient of Determination)

• Tells the value of the response variable when the explanatory variable is zero. May not make sense in context.