Chapter 4: Q. 26 (page 193)

In problems 25-27, use the technology of your choice to do the following tasks.
(a) Construct and interpret the scatterplot for the data.
(b) Decide whether finding the regression line for the data is reasonable. If so, then also do parts (c) -(f).
(c) Determine and interpret the regression equation.
(d) Make the indicated predictions.
(e) Compute and interpret the correlation coefficient.
(f) Identify potential outliers and influential observations.
High Temperature and Precipitation. The National Oceanic and Atmospheric Administration publishes temperature and precipitation information for cities around the world in Climates of the World. Data on average high temperature (in degrees Fahrenheit) in July and average precipitation (in inches) in July for $48$ cities are on the Weiss Stats CD.
For part (d) find the average July precipitation of a city with an average July temperature of $83 ° F$ .

Short Answer

Expert verified

(a) The scatterplot for the given data is:

(b) No, it is not reasonable to find the regression line for the data because there is no relationship between the variables. The given data does not seem to have a linear pattern.

So the parts (c)-(f) are omitted.

Step by step solution

Part (a) Step 1. Given Information.

Data on average high temperature (in degrees Fahrenheit) in July and average precipitation (in inches) in July for $48$ cities are on the Weiss Stats CD.

Part (a) Step 2. Construct a scatterplot.

Construct a scatter plot by using MINITAB.

1. Choose Graph > Scatterplot.

2. Choose Connect Line > OK.

3. Under Y-variables, enter column of Precipitation.

4. Under X-variables, enter the colum of High.

5. Click OK.

Part (a) Step 3. Output.

The MINITAB output is:

Part (a) Step 4. Interpretation.

From the graph, we can find that there is no linear relationship between the Precipitation and High temperature.

Part (b) Step 1. Reasonable to find a regression line.

No, it is not reasonable to find the regression line for the data because there is no relationship between the variables. The given data does not seem to have a linear pattern.

So the parts (c)-(f) are omitted.