1. A researcher is investigating the relationship between the size of a bird's beak and the type of food it eats. They measure the beak length and width of 50 birds of the same species and record the primary food source for each bird. The data they collect is as follows: Beak length (mm): 12, 14, 15, 16, 17, 18, 19, 20, 21, 22 Beak width (mm): 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 Food type: Seeds, Seeds, Seeds, Seeds, Seeds, Insects, Insects, Insects, Insects, Insects The researcher performs a linear regression analysis on the data and finds that the regression equation for beak length and food type is: Food type = -0.5 * Beak length + 12 Based on this regression equation, which of the following conclusions can the researcher draw about the relationship between beak size and food type?

2. A researcher is studying the effects of a new drug on the growth of bacteria. They inoculate 10 petri dishes with the same strain of bacteria and expose them to different concentrations of the drug. After 24 hours, they measure the diameter of the bacterial colonies in each dish. The researcher wants to determine if there is a correlation between the drug concentration and the diameter of the bacterial colonies. Which statistical analysis would be most appropriate for the researcher to use?

3. A researcher is investigating the effect of temperature on the solubility of a salt in water. They set up four experiments, each with the same volume of water and the same amount of salt, but at different temperatures: 10°C, 20°C, 30°C, and 40°C. They measure the amount of salt that dissolves in each experiment. The results show that as the temperature increases, the solubility of the salt increases exponentially. Which of the following conclusions can be drawn from these results?

4. A researcher is studying the effects of a new drug on the survival of cancer cells in a petri dish. They expose the cancer cells to different concentrations of the drug and measure the percentage of cells that survive after 48 hours. The researcher wants to determine the minimum concentration of the drug that is effective in killing at least 80% of the cancer cells. Which of the following methods would be most appropriate for the researcher to use to determine this?

5. A scientist is investigating the effect of temperature on the rate of a chemical reaction. They set up an experiment with 5 reaction vessels, each maintained at a different temperature (10°C, 20°C, 30°C, 40°C, and 50°C). They measure the rate of the reaction in each vessel and record the data. Which of the following is the best way for the scientist to analyze the data and determine the relationship between temperature and reaction rate?

6. A biologist is studying the effect of different concentrations of a pollutant on the survival of a population of aquatic organisms. They expose five groups of organisms to different concentrations of the pollutant and measure the number of survivors in each group after a fixed time. Which of the following is the best way to analyze the data and determine the effect of the pollutant concentration on the survival of the organisms?

7. A biologist is studying the effect of temperature on the rate of photosynthesis in a plant species. They set up four growth chambers, each with the same light intensity and nutrient conditions, but with different temperatures. After a fixed time, they measure the rate of oxygen production (a proxy for photosynthesis rate) in each chamber. Which of the following is the best way to analyze the data and determine the effect of temperature on the rate of photosynthesis?

8. A researcher is investigating the effect of temperature on the solubility of a salt in water. They set up four experiments, each with the same volume of water and the same amount of salt, but at different temperatures: 10°C, 20°C, 30°C, and 40°C. They measure the amount of salt that dissolves in each experiment. Which of the following graphs would best represent the relationship between temperature and the solubility of the salt?

9. A scientist is studying the effects of temperature on the rate of a chemical reaction. They set up four experiments, each with the same starting materials and reaction conditions, but with different temperatures. After a fixed time, they measure the amount of product formed in each experiment. Which of the following is the best way to analyze the data and determine the effect of temperature on the reaction rate?

10. A researcher is studying the effects of a new drug on the growth of bacteria. They inoculate 4 petri dishes with the same strain of bacteria and expose them to different concentrations of the drug. After 24 hours, they measure the diameter of the bacterial colonies in each dish. Which of the following is the best way to analyze the data and determine the effect of the drug concentration on bacterial growth?