Chapter 14.6, Problem 1LCA

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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

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,

Mean of the variable

Thus, the mean of the variable

Mean of the variable

Thus the mean of the variable y is 9.

For calculating

S |

**b**.

To determine

**To find:** The predicted value of

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