Question 1: Plot the points for the following data: number of items bought vs total money spent. Data: (2, $5), (4, $10), (6, $15), (8, $20).

Answer: Correct scatter plot with points aligned in a positive trend.

Question 2: Calculate the approximate correlation if the data points are: (1, $4), (2, $8), (3, $12), (4, $16).

Answer: Strong positive correlation

Question 3: Determine whether the scatter graph of the data: (1, $20), (2, $15), (3, $10), (4, $5) shows a positive or negative correlation.

Answer: Negative correlation

Question 4: Estimate the value of y when x=5 for a set of points with a clear linear trend, based on the previous data.

Answer: $25

Question 1: A shop records the number of customers and the amount of money spent daily. The data shows a positive trend. If on Monday 50 customers spent $250, predict the total spent on a day when 80 customers visit, assuming the trend continues.

Answer: Approximately $400

Question 2: Given the scatter graph shows no clear correlation between the amount of money spent and the number of items purchased, explain what this indicates about the data.

Answer: There is no consistent relationship between items bought and money spent.

Question 3: A dataset shows that as the amount spent increases, the number of discounts received decreases. What type of correlation does this suggest?

Answer: Negative correlation

Question 4: Construct a scatter graph to represent data: (Number of trips, total savings): (1, $5), (2, $10), (3, $15), (4, $20). Describe the pattern you observe.

Answer: Points form a straight line with a positive slope, indicating a positive correlation.

Question 1: Plot the data points for the following: number of items bought vs amount spent: (1, $5), (3, $15), (5, $25), (7, $35). What does the graph suggest about the relationship?

Answer: Positive linear trend indicating that more items bought correlates with more money spent.

Question 2: A customer notices a pattern: as their weekly shopping increases in number of items, their total bill also increases. How can a scatter graph help visualize this correlation?

Answer: Plotting data points shows whether there is a positive, negative, or no correlation between items and expenses.

Question 3: If a scatter graph shows points spread randomly with no pattern, what can you conclude about the relationship between shopping items and money spent?

Answer: There is likely no correlation.

Question 1: Design a scatter graph with a negative correlation for a scenario involving discounts and total bill. Explain your reasoning.

Answer: As discounts increase, the total bill decreases, forming a downward trend.

Question 2: Given a set of data points with some outliers, how can outliers affect the perceived correlation on a scatter graph?

Answer: Outliers can distort the trend, making correlation appear weaker or stronger than it actually is.

Question 1: Plot points for the data: (10, $50), (20, $100), (30, $150). What kind of correlation is this?

Answer: Positive correlation

Question 2: A scatter graph shows a cluster of points with no apparent pattern. What does this indicate?

Answer: No correlation or weak/no relationship.

Question 1: A student plotted points but forgot to label the axes. Why is this a mistake, and how can it be fixed?

Answer: Labels are essential to interpret the graph correctly; add axis labels with units.

Question 2: A scatter graph shows a perfect line with outliers far from the trend. What mistake might the student have made?

Answer: Ignoring outliers or not plotting all data points correctly. Recheck data and plot all points.