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Chapter 12: Q. 72 (page 726)

The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level).

a. Using 鈥渟tories鈥� as the independent variable and 鈥渉eight鈥� as the dependent variable, make a scatter plot of the data.

b. Does it appear from inspection that there is a relationship between the variables?

c. Calculate the least squares line. Put the equation in the form of: \(\hat{y}=a+bx\)

Short Answer

Expert verified

Part a. While creating scatter plot, consider 鈥渟tories 鈥渁s an independent variable on \(X\) axis and consider 鈥渉eight 鈥渁s a independent variable on \(Y\) axis. The scatter plot is made using the excel sheet.

Part b. From scatter plot we can say that there will be positive linear relationship between heights and stories.

Part c.

Step by step solution

01

Part a. Step 1. Explanation

While creating scatter plot, consider 鈥渟tories 鈥渁s an independent variable on \(X\) axis and consider 鈥渉eight 鈥渁s a independent variable on \(Y\) axis. The scatter plot is made using the excel sheet.

02

Part b. Step 1. Explanation

From scatter plot we can say that there will be positive linear relationship between heights and stories.

03

Part c. Step 1. Explanation

The general least square line is given by,

\(y=a+bx\).....(1)

Here, \(a\) is the \(y\) intercept and \(b\) is the slope.

Here \(y\) is the dependent variable and \(x\) is independent variable.

The least square line is calculated by using above excel sheet.

By using equation (1) the estimated least squares can be written as,

\(y=a+bx\).....(1)

height\(=102.43=11.758\)stories

\(y=102.43+11.758x\)....(2)

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Most popular questions from this chapter

Does the line seem to fit the data? Why or why not?

The average number of people in a family that attended college for various years is given in Table 12.29.

a. Using 鈥測ear鈥� as the independent variable and 鈥淣umber of Family Members Attending College鈥� as the dependent variable, draw a scatter plot of the data.

b. Calculate the least-squares line. Put the equation in the form of: \(\hat{y}=a+bx\)

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60. The following table shows the poverty rates and cell phone usage in the United States. Construct a scatter plot of the data

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2003
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