Make a scatter plot of the data in the table:

What do the x-coordinate and y-coordinate represent?

Is there a relationship between fat and calories? Explain.

doughnuts 13 306
corn chips 13 200
pudding 3 150
cake 13 230
snack crackers 6 140
ice cream (light) 5 130
yogurt 2 70
cheese pizza 18 410

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
3 hours ago

To create a scatter plot based on the provided data, we should first clarify what each coordinate represents:

  • X-coordinate (Fat): This column contains the amount of fat (in grams) in each food item.
  • Y-coordinate (Calories): This column contains the corresponding calorie count for each food item.

The data points from the table are as follows:

| Food Item | Fat (g) | Calories | |---------------------|---------|----------| | Doughnuts | 13 | 306 | | Corn Chips | 13 | 200 | | Pudding | 3 | 150 | | Cake | 13 | 230 | | Snack Crackers | 6 | 140 | | Ice Cream (Light) | 5 | 130 | | Yogurt | 2 | 70 | | Cheese Pizza | 18 | 410 |

Scatter Plot Representation

To visualize the scatter plot, you would typically plot the fat content on the x-axis and the calories on the y-axis. Since I cannot create a visual plot directly here, I can describe how you would do it:

  1. Draw a Cartesian plane with the x-axis labeled as "Fat (g)" and the y-axis labeled as "Calories."
  2. Plot the data points based on the provided values:
    • (13, 306)
    • (13, 200)
    • (3, 150)
    • (13, 230)
    • (6, 140)
    • (5, 130)
    • (2, 70)
    • (18, 410)

Analyzing the Relationship

Relationship Between Fat and Calories:

From the data provided, you can observe the following:

  • Foods with higher fat content often have a higher calorie count, but this relationship is not consistent for all data points.
  • The doughnuts, for example, have 13g of fat but 306 calories, whereas the corn chips, which also have 13g of fat, have only 200 calories.
  • The cheese pizza has the highest fat content (18g) and the highest calories (410), suggesting that as fat increases, calories may also increase.
  • However, items like yogurt and ice cream (light) show lower fat (2g and 5g, respectively) with relatively low calories (70 and 130), indicating that fat is not the only factor determining calorie count.

Conclusion:

Overall, while there appears to be a trend where some higher fat foods correspond to higher calorie counts, the relationship is not strictly linear or consistent across all foods. There are other factors, such as sugar content and carbohydrates, that also play significant roles in determining the total caloric content of these foods. Thus, further analysis would be needed to draw definitive conclusions about the relationship between fat and calories.