Linear Correlation

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

What is a best-fit line used for?

• To make predictions

• To make the graph look pretty

• To connect the points

• To make it look like you know what you are doing

Find the equation of the line of best fit for the given data

• y = 163.41x+1.49

• y =- 163.41x+ 4.19

• y =- 4.19x+163.41

• y = 4.19x -163.41

Write the equation for the linear regression shown.

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

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

Which scatter plot diagram shows the strongest positive correlation?

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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

• 5,000
• 2,620
• 17,000
• 20,200

The annual profits for a company are given in the following table, where x represents the number of years since 1992, and y represents the profit in thousands of dollars. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the year in which the profits would reach 378 thousand dollars.

• 2029

• 2014

• 2003

• 8753