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Linear regression

Authored by Audrey Bush

12th Grade

CCSS covered

Used 1+ times

Linear regression
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12 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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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

Tags

CCSS.8.EE.C.8C

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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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

Tags

CCSS.HSF-LE.A.1B

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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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

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

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

Tags

CCSS.HSF.LE.B.5

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

The table shown is comparing a person's foot length to their height in cm. Calculate a line of best fit.

f(x) = 25.05x + 5.57
f(x) = 5.57x + 25.05
f(x) = -5.57x + 25.05
f(x) = 5.57x - 25.05

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

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

Tags

CCSS.HSF-LE.A.1B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Find the equation of the Line of Best Fit from the data set. 

y = 0.892x - 1.82
y = 1.82x - 5.02
y = 0.796x + 5.02
y = 1.82x + 5.02

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