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A researcher wants to determine if gas consumption is affected by the number of days below 65 degrees. The data are shown below for 9
A researcher wants to determine if gas consumption is affected by the number of days below 65 degrees. The data are shown below for 9 months:
Month | Average Number Days Below 65 Degrees | Gas Consumption |
October | 15.6 | 5.2 |
November | 26.8 | 6.1 |
December | 37.8 | 8.7 |
January | 36.4 | 8.5 |
February | 35.5 | 8.8 |
March | 18.6 | 4.9 |
April | 15.3 | 4.5 |
May | 7.9 | 2.5 |
June | 0 | 1.1 |
- Could you make a scatterplot of the data
- What is the correlation coefficient in terms of direction and strength.
- What is a hypothesis test to determine if there is a significant relationship between temperature and gas consumption. If there is a significant relationship, describe the relationship (e.g., as temperatures increase, the gas consumption...). Test using an alpha of .05.
- Could you run a regression equation to determine if there is a predictive relationship between temperatures and gas consumption.
- Which variable is the dependent variable (the one that is being predicted or the effect)?
- Which variable is the independent variable (the one that is being used to predict or the cause)?
- What is a statement about the cause and effect relationship that you will be estimating in the regression:
- I will be using _________________ to predict __________
- What Estimate the regression equation.
- Could you describe the intercept of the regression equation.
- Could you describe the slope of the regression equation.
- Could you run a hypothesis test to determine if there is a significant linear relationship between temperature and gas consumption. Test using an alpha of .05.
- What is the coefficient of determination? Describe that it means in terms of this regression equation.
- Use the regression equation to find the predicted values of the Temp (x) = 20.
- Use the regression equation to find the predicted values of the Temp (x) = 30.
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