Does the relationship appear to be linear? Why? Yes, the relationship appears to be linear because it seems to be decreasing in similar intervals after each bite. Is the relationship increasing or decreasing? How do you know? The relationship is decreasing because the length of the licorice is getting smaller with each bite. Whether the relationship appears to be linear or not, perform a linear regression of the form y = mx + b. the regression equation below. y=-1.7x+15.9 If done by hand, may be y=-2x+16 The value of b represents the y-intercept of the regression equation. What is your b value? Be sure to include units! 15.9 cm What does the y-intercept tell you in this situation? The length of the Twizzler before a bite was taken out of it. What would you expect the y-intercept of your graph to be? What variables could account for this difference in the expected y-intercept and the actual y-intercept of your regression equation? I would expect it to be 16.5 cm. The line of best fit may not have been drawn perfectly. The value of m represents the slope (or rate of change) of the regression equation. What is your m value? Be sure to include units! slope is -1.7 cm/bite Use the regression equation to predict the number of bites it would take you to eat 5 cm of licorice. 6 bites Use the regression equation to determine the amount of licorice you could eat in 7 bites. About 11 cm
Does the relationship appear to be linear? Why? Yes, the relationship appears to be linear because it seems to be decreasing in similar intervals after each bite. Is the relationship increasing or decreasing? How do you know? The relationship is decreasing because the length of the licorice is getting smaller with each bite. Whether the relationship appears to be linear or not, perform a linear regression of the form y = mx + b. the regression equation below. y=-1.7x+15.9 If done by hand, may be y=-2x+16 The value of b represents the y-intercept of the regression equation. What is your b value? Be sure to include units! 15.9 cm What does the y-intercept tell you in this situation? The length of the Twizzler before a bite was taken out of it. What would you expect the y-intercept of your graph to be? What variables could account for this difference in the expected y-intercept and the actual y-intercept of your regression equation? I would expect it to be 16.5 cm. The line of best fit may not have been drawn perfectly. The value of m represents the slope (or rate of change) of the regression equation. What is your m value? Be sure to include units! slope is -1.7 cm/bite Use the regression equation to predict the number of bites it would take you to eat 5 cm of licorice. 6 bites Use the regression equation to determine the amount of licorice you could eat in 7 bites. About 11 cm
uod-1926-linear-regression-twizzler-pre-act-worksheet-ans.docx