Predict Using Linear Equations

The linear model to represent the distance (in miles) traveled given the time (in hours) driving is  m=-1.79+61.93h. Predict how far a person will travel driving 10 hours. 

• 617.51 miles

• 621.09 miles

• 100 miles

• 0.19 miles

Estimate the y-intercept of the trend line by looking at the graph.

• 2

• 1.8

• 1.2

• 0

What is the equation of the line of best fit?

• y= 6x + 2

• y = -2x +6

The linear regression equation is y = 61.93x - 1.79.  Use the equation to predict how far this person will travel after 10 hours of driving.

• 10 miles

• 617.5 miles

• 0.19 miles

• 500 miles

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 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.

• y = 839.721x + 27541.812

• y = 27541.812x - 839.721

• y = 27541.812x + 839.721

• y = 839.721x - 27541.812

Write the linear regression equation for the following data points. Round to the nearest hundredth.

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

Using your linear regression, what is y when x is 30?

• 61.59

• 52.46

• 57.94

• 59.76

If x is temperature and y is coffee sales, use the following formula to determine the coffee sales on a 34° day.

y = -60x + 6443

• $4403

• $4673

• $8483

• $6443