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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

Sketch a scatter plot for the following data—that is, a graph showing the X, Y data points:

X Y
4 13
2 5
5 12
1 6

a. Find the regression equation for predicting Y from X. Draw this line on your graph. Does it look like the best-fitting line?

b. Use the regression equation to find the predicted Y value corresponding to each X in the data.

a.

To determine

To sketch: The scatter plot of the given data and find the regression equation for predicting Y from X.

Explanation

Given info:

The given data are shown below:

X Y
4 13
2 5
5 12
1 6

Calculation:

Software procedure:

Step-by-step procedure to obtain the scatter plot using the SPSS software:

  • Go to Variable View> Enter the name of the variable as X and second variable as Y.
  • Go to Data View>Enter the values of X.
  • Click Graphs>Legacy Dialog>Scatterplot.
  • Choose simple scatter icons and drag the appropriate X and Y-axis.
  • Choose OK.
  • Choose fit line at total from the chart editor window.

Output using the SPSS software is given below:

From SPSS output, the regression equation is, Y=2X+3

Mean of the variable X is,

MX=4+2+5+14=124=3

Thus, the mean of the variable X  is 3.

Mean of the variable Y is,

MY=13+5+12+64=364=9

Thus the mean of the variable y is 9.

For calculating SSx and SP the table is shown below:

S

b.

To determine

To find: The predicted value of Y using regression equation.

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