Statistics and Correlation

Estimate the correlation coefficient for this scatterplot.

• A) r = 1.2

• B) r = 0.89

• C)r = 0

• D) r = -0.89

Estimate the correlation coefficient for this scatterplot.

• r = -0.9

• r = 1

• r = 0.9

• r = -1

The scatter plot shows the number coffee shops in different cities and the number of violent crimes. Which of the following is NOT true?

• A) As the number of coffee shops increase, violent crimes appears to increase.

• B) The line of best fit (regression line) shows a positive correlation

• C) The data has a positive correlation coefficient

• D) An increase in coffee shops causes an increase in violent crimes

A poll is taken from 100 seniors in a high school where the senior class has 575 students. The 100 seniors is an example of a  ______________.

• Sample

• Population

Using your graphing calculator determine the line of best fit and the correlation coefficient of the data in the table.

• y = 4.6x - 347

  r = .942

• y = 4.6x - 347

  r = .888

• y = 4.6x + 347

  r = .942

• y = 4.6x + 347

  r = .888

To convince his students to slow down, Coach Logan tracks the typing speed and the number of errors made from a few of his students. Calculate the correlation coefficient, r, of the data set. Round to THREE decimal places.

Mathematical Equivalence

ON

Data is analyzed comparing hours studied and grades. It is determined that the correlation coefficient is 0.92. This means there is a

(a)   between studying and grades.

• strong positive correlation

• strong negative correlation

• weak positive correlation

• weak negative correlation

Match the following:

• a

• Standard Deviation of Residuals

• r²

• Coefficient of Determination

• s

• Y-Intercept

• b

• Slope

• r

• Correlation Coefficient

What's true about r and r²?

​ (a)   have an r² value

​ (b)   have an r value

• All function types

• Only linear functions

Tags

R vs R^2

To convince his students to slow down, Coach Logan tracks the typing speed and the number of errors made from a few of his students. Calculate the correlation coefficient, r, of the data set. Round to THREE decimal places.

Mathematical Equivalence

ON