PLEASE HELP A New Product
7. The coffee shop owner decides to add fruit smoothies to the menu. The table shows sales at different prices.
Smoothie sales:
Price: 4.60 4.20 4.40 3.00 3.80 4.00 3.60 2.80 3.20 4.80
Sales: 0 42 40 41 39 40 38 42 38 0
Use your calculator to perform a linear regression on this data set. Round a and b to the nearest tenth. What is the regression equation? (2 points: 1 point for slope and 1 point for y-value of y-intercept)
y= -16.4x + 94.9
8. Complete the table to find the residuals. Round values to the nearest tenth. Then make a residual plot. (4 points: 2 for the table, 2 for the residual plot)
Price: Actual sales Predicted sales Residual
2.8 42 49
3.0 41 45.7
3.2 38 42.4
3.6 38 35.9
3.8 39 32.6
4.0 40 29.3
4.2 42 26
4.4 40 22.7
4.6 0 19.5
4.8 0 16.2

9. Analyze the residual plot. Describe any patterns that you see. Based on your plot, does your model fit the data well? (2 points)

10. Describe a better model for these data. Explain why this model is a better fit than the linear regression model you found in question 7. (2 points)