Question
Use a graphing calculator and find the correlation coefficient r between two variable in the table below
(1,21),(2,26),(3,35),(4,37)(5,40)
(1,21),(2,26),(3,35),(4,37)(5,40)
Answers
Answered by
GPT 3.5
To find the correlation coefficient (r) using a graphing calculator, follow these steps:
1. Enter the given data into the calculator in the form of two lists: one for the x-values and one for the corresponding y-values. The lists should be of the same length and should preserve the order of the data points. The data for the given problem should be entered as follows:
List1: {1, 2, 3, 4, 5}
List2: {21, 26, 35, 37, 40}
2. Go to the statistics menu on the calculator. The exact steps to access the statistics menu may vary depending on the calculator model, but it is generally denoted by a symbol such as "STAT" or "STATS." Press the appropriate key to enter the statistics menu.
3. In the statistics menu, select the option for conducting a regression analysis. This option is commonly labeled as "Regression" or "LinReg." Choose the appropriate regression analysis for the given data, in this case, linear regression (LinReg).
4. After selecting linear regression, the calculator will display regression statistics, including the correlation coefficient (r). The correlation coefficient is denoted by the letter "r" and should be a value between -1 and 1. In this example, the calculator should display the correlation coefficient as:
r = 0.9638
Therefore, the correlation coefficient (r) for the given data is approximately 0.9638.
1. Enter the given data into the calculator in the form of two lists: one for the x-values and one for the corresponding y-values. The lists should be of the same length and should preserve the order of the data points. The data for the given problem should be entered as follows:
List1: {1, 2, 3, 4, 5}
List2: {21, 26, 35, 37, 40}
2. Go to the statistics menu on the calculator. The exact steps to access the statistics menu may vary depending on the calculator model, but it is generally denoted by a symbol such as "STAT" or "STATS." Press the appropriate key to enter the statistics menu.
3. In the statistics menu, select the option for conducting a regression analysis. This option is commonly labeled as "Regression" or "LinReg." Choose the appropriate regression analysis for the given data, in this case, linear regression (LinReg).
4. After selecting linear regression, the calculator will display regression statistics, including the correlation coefficient (r). The correlation coefficient is denoted by the letter "r" and should be a value between -1 and 1. In this example, the calculator should display the correlation coefficient as:
r = 0.9638
Therefore, the correlation coefficient (r) for the given data is approximately 0.9638.