Linear Equation Chart

Select All that are true for the XY Chart

• The Change in Y over Change in X is 10/7

• The equation is y=10/7x

• The next coordinate set is (28,40)

• The Y value would be 10 when X=10

Select ALL That are True of the XY Chart shown

• The Change in Y over Change in X is 1/3

• The equation for the line is y=3x

• The value for Y would be 18 when x=6

• The value for Y would be 27 when x=9

Write the equation for the table given

• y = 1/3x

• y = 3x

• y = 1/2x

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

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

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

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 1994, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, find the projected number of new cases for 2003, rounded to the nearest whole number.

• 974

• 25,101

• 940

• 952

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

• 61.59

• 52.46

• 57.94

• 59.76

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

• 5,000
• 2,620
• 17,000
• 20,200