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Data were collected over the years from 2001 to 2020 on pumpkin production (in thousands cwt) and average US temperature. Average temperature was then used to predict pumpkin production. Bivariate Fit of Pumpkin Production By Average US Temperature 18000 16000 14000 12000 10000 8000 52 52.5 53 53.5 54 54.5 55 55.5 Average US Temperature Summary of Fit Parameter Estimates 0.098305 Term RSquare RSquare Adj Root Mean Square Error Mean of Response Observations (or Sum Wgts) Estimate Std Error t Ratio Prob>|t| 0.048211 Intercept Average US Temperature 938.25324 669.7694 -38784.65 35848.62 -1.08 0.2936 2560.642 1.40 0.1783 11427.85 20 a Describe the direction, form, and strength of the relationship. Support your description of strength with a numerical value. b) Provide the equation of the regression line. c) Does it make sense to interpret the y-intercept? Explain. d) Predict the pumpkin production for an average temperature of 55 degrees. e) Based on the RSquare value, would you recommend using average temperature to predict pumpkin production? Explain. Pumpkin Production

Data were collected over the years from 2001 to 2020 on pumpkin production (in thousands cwt) and average US temperature. Average temperature was then used to predict pumpkin production. Bivariate Fit of Pumpkin Production By Average US Temperature 18000 16000 14000 12000 10000 8000 52 52.5 53 53.5 54 54.5 55 55.5 Average US Temperature Summary of Fit Parameter Estimates 0.098305 Term RSquare RSquare Adj Root Mean Square Error Mean of Response Observations (or Sum Wgts) Estimate Std Error t Ratio Prob>|t| 0.048211 Intercept Average US Temperature 938.25324 669.7694 -38784.65 35848.62 -1.08 0.2936 2560.642 1.40 0.1783 11427.85 20 a Describe the direction, form, and strength of the relationship. Support your description of strength with a numerical value. b) Provide the equation of the regression line. c) Does it make sense to interpret the y-intercept? Explain. d) Predict the pumpkin production for an average temperature of 55 degrees. e) Based on the RSquare value, would you recommend using average temperature to predict pumpkin production? Explain. Pumpkin Production

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Please only do parts c and d
### Analysis of Pumpkin Production by Average US Temperature (2001-2020) The study explores the relationship between average US temperature and pumpkin production from 2001 to 2020. Data is presented in thousands of hundredweight (cwt) with average temperatures used for predicting pumpkin production. #### Scatter Plot Analysis - **Graph Title:** Bivariate Fit of Pumpkin Production by Average US Temperature - **Axes:** - X-axis: Average US Temperature (degrees Fahrenheit) - Y-axis: Pumpkin Production (in thousands of cwt) - **Data Points:** The scatter plot displays multiple data points suggesting a weak positive trend with some variability. - **Trend Line:** A red line indicates the linear fit. #### Statistical Summary **Summary of Fit:** - **R-Square:** 0.0998305 - **R-Square Adjusted:** 0.048211 - **Root Mean Square Error:** 2506.642 - **Mean of Response:** 11427.85 - **Observations:** 20 **Parameter Estimates:** - **Intercept:** Estimate = -38784.65, Std Error = 35848.62, t Ratio = -1.08, Prob > |t| = 0.2936 - **Average US Temperature:** Estimate = 938.25324, Std Error = 669.7694, t Ratio = 1.40, Prob > |t| = 0.1783 #### Discussion Points a) **Describe the Direction, Form, and Strength:** - **Direction:** Positive - **Form:** Linear - **Strength:** Weak (R-Square = 0.0998) b) **Equation of the Regression Line:** - \( y = 938.25x - 38784.65 \) c) **Interpreting the Y-Intercept:** - The y-intercept represents the pumpkin production when the temperature is 0°F, which isn't practical as such temperatures are outside the relevant range, and thus may not be meaningful. d) **Predict Production at 55°F:** - Calculation using the regression line gives a prediction of approximately: - \( y = 938.25 \times 55 - 38784.65 \approx 12688.1 \) thousand cwt e) **Using Average Temperature for Prediction:** - With a low R
Transcribed Image Text:### Analysis of Pumpkin Production by Average US Temperature (2001-2020) The study explores the relationship between average US temperature and pumpkin production from 2001 to 2020. Data is presented in thousands of hundredweight (cwt) with average temperatures used for predicting pumpkin production. #### Scatter Plot Analysis - **Graph Title:** Bivariate Fit of Pumpkin Production by Average US Temperature - **Axes:** - X-axis: Average US Temperature (degrees Fahrenheit) - Y-axis: Pumpkin Production (in thousands of cwt) - **Data Points:** The scatter plot displays multiple data points suggesting a weak positive trend with some variability. - **Trend Line:** A red line indicates the linear fit. #### Statistical Summary **Summary of Fit:** - **R-Square:** 0.0998305 - **R-Square Adjusted:** 0.048211 - **Root Mean Square Error:** 2506.642 - **Mean of Response:** 11427.85 - **Observations:** 20 **Parameter Estimates:** - **Intercept:** Estimate = -38784.65, Std Error = 35848.62, t Ratio = -1.08, Prob > |t| = 0.2936 - **Average US Temperature:** Estimate = 938.25324, Std Error = 669.7694, t Ratio = 1.40, Prob > |t| = 0.1783 #### Discussion Points a) **Describe the Direction, Form, and Strength:** - **Direction:** Positive - **Form:** Linear - **Strength:** Weak (R-Square = 0.0998) b) **Equation of the Regression Line:** - \( y = 938.25x - 38784.65 \) c) **Interpreting the Y-Intercept:** - The y-intercept represents the pumpkin production when the temperature is 0°F, which isn't practical as such temperatures are outside the relevant range, and thus may not be meaningful. d) **Predict Production at 55°F:** - Calculation using the regression line gives a prediction of approximately: - \( y = 938.25 \times 55 - 38784.65 \approx 12688.1 \) thousand cwt e) **Using Average Temperature for Prediction:** - With a low R
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In this case, the independent variable is average US temperature and the dependent variable is pumpkin production.

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