Lesson: Least Squares Regression Line

In this lesson, we will learn how to find and use the least squares regression line equation.

Video

17:14

Sample Question Videos

03:03
03:13

Worksheet: 25 Questions • 2 Videos

Q1:

The scatterplot shows a set of data for which a linear regression model appears appropriate.

The data used to produce this scatterplot is given in the table shown.

	0.5	1	1.5	2	2.5	3	3.5	4
	9.25	7.6	8.25	6.5	5.45	4.5	1.75	1.8

Calculate the equation of the least squares regression line of on , rounding the regression coefficients to the nearest thousandth.

Q2:

Using the information in the table, find the regression line . Round and to 3 decimal places.

Cultivated Land in Feddan	126	13	104	180	38	161	14	99	55	177
Production of a Summer Crop in Kilograms	160	40	80	340	260	200	280	280	140	100

Q3:

The table shows the price of a barrel of oil and the economic growth. Using the information in the table, find the regression line . Round and to 3 decimal places.

Price of One Barrel of Oil in Dollars	50.40	55.30	63	70.70	83.60	94.10	102.50	118
Economic Growth Rate		0.5	0.5	1	2.8	3.9	4.9	5

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