Final answer:
In this question, we are analyzing the relationship between the number of stories in tall buildings and their height. We start by creating a scatter plot of the data and then determine if there is a relationship between the variables. We calculate the least-squares line and find the correlation coefficient to assess the significance of the relationship.
Step-by-step explanation:
a. Using stories as the independent variable and height as the dependent variable, make a scatter plot of the data.
To create a scatter plot, plot the stories on the x-axis and the corresponding height on the y-axis. Each data point represents a story and its corresponding height.
b. Does it appear from inspection that there is a relationship between the variables?
From the scatter plot, we can see that there is a positive relationship between the number of stories and the height of the buildings. As the number of stories increases, the height of the building also increases.
c. Calculate the least-squares line. Put the equation in the form ŷ = a + bx.
The least-squares line is a line that best fits the data points on the scatter plot. By calculating this line, we can determine the equation in the form ŷ = a + bx.
d. Find the correlation coefficient. Is it significant?
The correlation coefficient measures the strength and direction of the relationship between the variables. By finding the correlation coefficient, we can determine if the relationship between the number of stories and the height of the buildings is significant.