To calculate the correlation, slope, y-intercept, and predicted points scored, we can use a statistical software or a calculator with regression analysis capabilities.
Alternatively, you can use the following steps in Excel:
Step 1: Enter the Rushing Yards in cells A1 to A8 and the Points Scored in cells B1 to B7.
Step 2: Go to Data > Data Analysis > Regression.
Step 3: Select the Rushing Yards as the Y Range, and Points Scored as the X Range. Check the boxes for Labels in First Row, and Confidence Level if desired.
Step 4: Click OK to run the regression analysis.
From the regression output, you can find:
1. The correlation coefficient: This is the R value. Round this to the nearest hundredth.
2. The slope of the regression line: This is the coefficient of the Rushing Yards variable.
3. The y-intercept of the regression line: This is the constant in the regression output.
4. To predict points scored for a game with 190 rushing yards, use the regression equation (Y = mx + b) with the values of slope and y-intercept from the regression output.
After performing these steps, you should be able to find the answers to the questions regarding the data of the 2011 Jacksonville Jaguars.
The data in the table below are the rushing yards and the number of points scored for 8 games played by the 2011 Jacksonville Jaguars.
Rushing Yards
163 112 128 104 108 133 132 84
Points scored
16 3 10 10 13 12 14
What is the correlation between the values, rounded to the nearest hundredth?
What is the slope of the regression line, rounded to the nearest hundredth?
What is the y-intercept, rounded to the nearest hundredth?
What is the predicted points scored for a game with 190 rushing yards, rounded to the nearest whole number?
1 answer