177k views
0 votes
Draw scatter plots for each set of data points: (3, 5), (4, 7), (5, 9), (7, 10), (8, 10), (9, 11), and (10, 13). After plotting, determine if a linear model is appropriate. If it is, describe the correlation, draw a trend line, provide its equation, and predict the value of y when x is 15.

User Meiko
by
7.6k points

1 Answer

3 votes

Final answer:

To address the question, draw a scatter plot for the given data points to identify any pattern, determine the appropriateness of a linear model, describe the correlation, draw a trend line, provide its equation, and predict future values.

Step-by-step explanation:

To draw a scatter plot for the given set of data points: (3, 5), (4, 7), (5, 9), (7, 10), (8, 10), (9, 11), and (10, 13), plot each point on a graph where the x-axis represents the independent variable and the y-axis represents the dependent variable. Once plotted, look for a pattern to determine if a linear model is appropriate.

If the data points line up in a way that suggests a straight line could be drawn through them, then a linear model is considered suitable. By inspection, if there is a consistent upward trend without significant deviations from a straight path, the relationship can be described as positively correlated. A trend line added to the scatter plot can represent the line of best fit, and the equation can be calculated using the least-squares method, often written in the form ý = a + bx.

To predict the value of y when x is 15, extend the line of best fit beyond the existing data points if the linear model is valid and use the equation to calculate the corresponding y value. Note that such an extrapolation assumes that the linear relationship continues beyond the range of the provided data.

User Patrick Motard
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories