Question

Asked Dec 1, 2019

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The following table shows the annual number of PhD graduates in a country in various fields.

Natural Sciences |
Engineering | Social Sciences |
Education | |
---|---|---|---|---|

1990 | 70 | 10 | 70 | 30 |

1995 | 130 | 40 | 110 | 40 |

2000 | 330 | 130 | 280 | 120 |

2005 | 490 | 370 | 460 | 210 |

2010 | 590 | 550 | 830 | 520 |

2012 | 690 | 590 | 1,000 | 900 |

(a)

With *x* = the number of social science doctorates and *y* = the number of education doctorates, use technology to obtain the regression equation. (Round coefficients to three significant digits.)

y(x) =
(b)

Use technology to obtain the coefficient of correlation *r*. (Round your answer to three decimal places.)

r =

Step 1

(a)

Step-by-step procedure to obtain the regression equation using Excel:

- In Excel sheet, enter
**X**in one column and enter**Y**in one column. - In
**Data**, select**Data Analysis**and choose**Regression**. - In
**Input Variable y Range,**select**Education**. - In
**Input Variable x Range,**select**Social Sciences**. - Click
**Labels**. - Click
**Ok**.

Output obtained using Excel is given below:

Step 2

From the output, the regre...

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