# Hotmath Practice Problems

Title:
Hotmath Algebra 2
Author:
Hotmath Team
Chapter:Linear Relationships and FunctionsSection:Correlation and Lines of Best Fit

Problem: 1

What correlation can be observed between x and y in the figure?

Problem: 3

What correlation can be observed between x and y in the figure?

Problem: 5

How can the relation between the variables in the given scatter plot be best described?

(a) Weak positive correlation

(b) Strong positive correlation

(c) Correlation approximately 0

(d) Strong negative correlation

Problem: 7

How can the relation between the variables in the given scatter plot be best described?

(a) Weak positive correlation

(b) Strong positive correlation

(c) Correlation approximately 0

(d) Strong negative correlation

Problem: 9

Sketch a scatter plot of the data and find out if the data have a positive correlation, a negative correlation, or relatively no correlation.

Problem: 11

Sketch a scatter plot of the data and find out if the data have a positive correlation, a negative correlation, or relatively no correlation.

Problem: 13

The table lists the number of population in the state of Arizona from the year 1970 to 1994. Sketch a scatter plot of the data and find out if the data have a positive correlation, a negative correlation, or relatively no correlation.

Problem: 15

Draw a scatter plot of the data and estimate the best–fitting line for the data.

Problem: 17

Draw a scatter plot of the data and estimate the best–fitting line for the data.

Problem: 19

Use the information given below to construct a scatter plot. What is the line of best fit?

x

–4

–2.5

–2

–0.5

0

1.5

2

3

4.5

5

y

5

4

3

2.5

2

0.5

0

–1

–1.5

–2

Problem: 21

What would be the equation of a line that fits the given scatter plot the best?

Problem: 23

What would be the equation of a line that fits the given scatter plot the best?

Problem: 25

The table below shows the age and systolic blood pressure for a group of people who recently donated blood. Draw the line of best fit for this data.

Problem: 27

The table records the price per bushel and how many thousand bushels of wheat were sold at that price during a 10–day selling period in Iowa.

Draw the line of best fit for this data.

Problem: 29

The table records the total sales of the products between 1980 and 1993 in the United States.

Draw the line of best fit for this data.

Problem: 31

The table gives per capita (person) revenue and expenditure for selected states from a recent year.

Draw the line of best fit for this data.

Problem: 33

The table below gives the number of households c (in millions), in the US that owned a computer between the years 1985 and 1991.

Draw the best fitting line to this data. If t represents the year, with t = 4 corresponding to year to 1984, find the number of households that would own computers in the year 1995.

Problem: 35

The table shows the percent increase in the sale of Ice cream in the US.

Draw the best fitting line to this data. If t represents the year, with t = 6 corresponding to year to 1986, find the number of households that would own computers in the year 1997.

Problem: 37

The average life expectancy (in years) of a person based on various years of birth is listed in the following table.

Predict the life expectancy of someone born in the year 2010.

Problem: 39

What is the correlation coefficient, r, for:

(–6, 4), (–5, 3), (–3, 1), (–2, –1), (3, –4)?