Linear Regression and Correlation Practice

The regression line above was computed to show the Percent of Games Won by Year for the Northside Eagles.  Using the regression line, predict the winning percentage for 1996.

• 48%

• 46%

• 30%

• impossible to tell

Using the data given, answer the following questions. Put the data in your calculator (L1 and L2). What is the line of best fit (y = mx + b)?

• y = -0.66x + 2.25

• y = 2.25x - 0.66

• y = 0.99x - 2.25

• y = 0.99x - 2.25

Using the correlation coefficient found in the last question, how would this data be correlated?

• strong positive

• weak positive

• strong negative

• weak negative

Using the data given, answer the following questions

Put the data in your calculator (L1 and L2). What is the line of best fit (y = mx + b)? Round to the nearest hundredth (2 decimal places).

Match the following:

• Standard Deviation of Residuals

• Change in the dependent variable divided by the change in the independent variable.

• Slope

• Gives the direction and

  quantifies the strength of the linear association

  between two quantitative variables.

• Coefficient of Determination

• Calculates how much the data points spread around the regression line. The result is used to measure the error of the regression line's predictability.

• Y-Intercept

• The proportion of variation in the response variable that is explained by the

  explanatory variable in the model.

• Correlation Coefficient

• The value of the dependent variable when x equals zero.

Choose two words from those listed below to best describe the correlation between the two variables.

• strong

• weak

• positive

• negative

As shown in the table, a person's target heart rate during exercise changes as the person gets older. Find the correlation coefficient (r).

• -0.999

• -0.664

• 0.998

• 1.503

The table shows the number of species added to the United States endangered species list each year for several years. A linear function can be used to model the data. Which correlation best describes the strength of the linear association between the number of species added to the United St​ates endangered species list and the year? ​

• Weak negative correlations, because r = -.0.09

• Weak negative correlation, because r = -0.91

• Strong negative correlation, because r = -0.91

• Strong negative correlation, because r = -0.09

A restaurant sells pizza for the prices in the data table. using your calculator, find the linear regression equation of the data.

• y = 1.5x + 12

• y = 12x + 1.5

• y = 0.67x - 8

• y = -8x + 0.67

Find the equation of the line of best fit for the given data

• y = 163.41x + 4.19

• y = -163.41x + 4.19

• y = -4.19x + 163.41

• y = 4.19x - 163.41