Question

Chapter 4 Homewo . - Falls EMERS Activities and Due Dates > Chapter 4 Homework 1000/1300 Resources cive Upt o Hint Animals often play an important role in the transportation of plant seeds. A 2014 study by Baldwin and Whitehead investigated the role played by fruit bats in seed transportation. The data provided give the wingspan length in millimeters and gut retention time (GRT) in minutes of seeds for each of the bats from this study. The GRT measures the amount of time a seed spends in the digestive system of the bat. Click to download the data in your preferred format Crunchlt! CSV Excel JMP Mac-Text Minitab PC-Text R SPSS TI-Cale Suppose Baldwin and Whitehead want to construct a linear model to predict the GRT of a fruit bat (in minutes) from the bat's wingspan length (in inches). Calculate the y-intercept and slope of the least squares regression line using wingspan length to predict GRT. Give your answers precise to three decimal places. y-intercept: Using the least squares regression line, calculate the predicted value and residual value for the data point where the wingspan length is equal to 111 and the GRT is equal to 14. Give your answers precise to three decimal places predicted value min residual value: Home End U 0 P

Answer 1

Solution: We can use the excel regression data analysis tool to find the regression equation. The excel output is given below:

SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.071 0.005 -0.014 12.253 54 ANOVA F MS 39.615 150.136 Significance F 0.610 Regression Residual 0.264 Total SS 1 39.615 7807.087 53 7846.702 Slope Coefficients Standard Error 25.899 13.187 -0.066 0.128 Intercept Intercept Length Stat 1.964 -0.514 p-value 0.055 0.610 Lower 95% -0.562 -0.323 Upper 95% 52.360 0.192

Animals often play an important role in the transportation of plant seeds. A 2014 study by Baldwin and Whitehead investigated the role played by fruit bats in seed transportation. The data provided give the wingspan length in millimeters and gut retention time (ORT) in minutes of seeds for each of the bats from this study. The GRT measures the amount of time a seed spends in the digestive system of the bat. Click to download the data in your preferred format. Crunchit! CSV Excel JMP Mac-Text Minitab PC-Text R SPSS TI-Cale Suppose Baldwin and Whitchcad want to construct a linear model to predict the GRT of a fruit bat (in minutes) from the bat's wingspan length (in inches). Calculate the y-intercept and slope of the least-squares regression line using wingspan length to predict GRT. Give your answers precise to three decimal places y-intercept: 25.899 min slope -0.066 Using the least squares regression line, calculate the predicted value and residual value for the data point where the wingspan length is equal to 111 and the GRT is equal to 14. Give your answers precise to three decimal places predicted value: 18.573 min residual value: -4.573 y=25.899 -0.066x111=18.573 Residual = 14-18.573 = -4.573