Interpret Linear Data in Context

• Every hamburger costs $1.40

• Every hamburger costs $1.90

• Every hamburger costs $2.90

• Every topping adds $1.40 to the cost of the hamburger

A restaurant sells pizza for the prices in the data table.  Calculate the linear regression equation of the data.

• y = 1.5x + 12

• y = 12x + 1.5

• y = 0.67x - 8

• y = -8x + 0.67

The linear regression equation for the data is y = 1.5x + 12. Interpret the y-intercept of the equation.

• It means that a pizza with 0 toppings will cost $1.50.

• It means that the price of the pizza increases by $1.50 for each additional topping.

• It means that a pizza with 0 toppings will cost $12.00.

• It means that the cost of the pizza increases by $12.00 for each additional topping.

A person travels by car.  They record their miles driven in a data table.  Calculate the linear regression equation of this data.

• y = 61.93x - 1.79

• y = -1.79x + 61.93

• y = 0.016x + 0.03

• y = 0.03x + 0.016

Describe the correlation in the graph shown.

• Strong Negative

• Strong Positive

• Weak Negative

• Weak Positive

Describe the correlation in the graph shown.

• Strong Negative

• Strong Positive

• Weak Negative

• Weak Positive

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books.  Use the trend line to predict how many chapters would be in a book with 180 pages. 

• 12 chapters

• 15 chapters

• 18 chapters

• 21 chapters

Find the rate of change.

• 1

• 2

• 11

• Not a constant slope/Non-Linear

The table shown is comparing a person's foot length to their height in cm. Calculate the regression equation

• yhat = 25.05x + 5.57

• yhat = 5.57x + 25.05

• yhat = -5.57x + 25.05

• yhat = 5.57x - 25.05

The chart below tracts starting salaries for health care workers since the year 2000. Using linear regression, find the equation of best fit. Round decimals to 3 places.

• yhat = 27541.812 + 839.721x 

• yhat = -839.721 + 27541.812x

• yhat = 839.721 + 27541.812x

• yhat = -27541.812 + 839.721x