Sec.4.3

- For a particular regression analysis, SST=161 and SSR=146
- Obtain the coefficient of determination. (Round to two decimal places)

- Determine SSE.

- Use the table and the given regression equation to answer parts A-C.

X | 3 | 1 | 2 |

Y | -4 | 0 | -5 |

- Compute the tree sums of squares, SST, SSR, and SSE, using the defining formulas.

- Verify the regression identity, SST=SSR+SSE. Is this statement correct? (Yes, or No)

- Determine the value of , the coefficient of determination. (Round to four decimal places as needed)

Sec.4.4

- Fill the blanks
- The symbol used for the linear correlation coefficient is __________.

- A value of r close to indicates that there is a _________ linear relationship between the variables.

- A value of r close to ___________ indicates that there is either no linear relationship between the variables or a weak one.

- For the data shown to the below, determine the linear correlation coefficient using the formula r = .

X | Y | )( | ||

4 | 3 | |||

5 | 4 | |||

1 | 2 | |||

2 | -1 | |||

Sum |

Find the sample mean of each variable.

=

=

Find the sum required to calculate r using the definition.

= _______

Find the sample standard deviation of each variable.

=

=

Using the definition, r = _________

- The following are data on age (in weeks) and crown-rump length (in millimeters) for fetuses. Plot a scatterplot of the data and regression line to compare your calculation in part A and part B. (
**Use Excel and print out for figure**).

Age(X) | 10 | 12 | 13 | 13 | 17 | 19 | 20 | 23 | 25 | 29 |

Length(Y) | 66 | 67 | 110 | 107 | 159 | 167 | 175 | 226 | 235 | 281 |

- Obtain the linear correlation coefficient. r=____________

- There is __________________________________________ between the two variables.

- The given graph is ____________ with the interpretation found in part B, because the y-values appear to _____________ as the x-values increase, and the data points appear ______________________________________________________________________.

- ____________________ (Round to three decimal places as needed)
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