Linear Regression Math Worksheet printable pdf download

Linear Regression Math Worksheet

Regents Exam Questions A2.S.7: Linear Regression

Name: ________________________

A2.S.7: Linear Regression: Determine the function for the regression model, using appropriate

technology, and use the regression function to interpolate/extrapolate from the data

1 The accompanying table shows the enrollment of a

4 In a mathematics class of ten students, the teacher

preschool from 1980 through 2000. Write a linear

wanted to determine how a homework grade

regression equation to model the data in the table.

influenced a student’s performance on the

subsequent test. The homework grade and

subsequent test grade for each student are given in

the accompanying table.

2 The data table below shows water temperatures at

various depths in an ocean.

a Give the equation of the linear regression line for

Write the linear regression equation for this set of

this set of data.

data, rounding all values to the nearest thousandth.

b A new student comes to the class and earns a

Using this equation, predict the temperature (ºC), to

homework grade of 78. Based on the equation in

the nearest integer, at a water depth of 255 meters.

part a, what grade would the teacher predict the

student would receive on the subsequent test, to the

3 The number of newly reported crime cases in a

nearest integer?

county in New York State is shown in the

accompanying table. Write the linear regression

equation that represents this set of data. (Let x = 0

represent 1999.) Using this equation, find the

projected number of new cases for 2009, rounded

to the nearest whole number.

Linear Regression Math Worksheet