# Question: the following data were collected during a study of consumer...

###### Question details

The following data were collected during a study of consumer
buying patterns:

Observation | x |
y |
Observation | x |
y |

1 | 12 | 72 | 8 | 16 | 83 |

2 | 30 | 85 | 9 | 19 | 65 |

3 | 37 | 88 | 10 | 18 | 77 |

4 | 31 | 84 | 11 | 17 | 90 |

5 | 46 | 96 | 12 | 27 | 90 |

6 | 44 | 92 | 13 | 33 | 94 |

7 | 32 | 84 | |||

**b.** Obtain a linear regression line for the
data.**(Round your intermediate calculations and final
answers to 3 decimal places.)**

*y* = _________ + __________ *x*

**c.** What percentage of the variation is
explained by the regression line? **(Do not round
intermediate calculations. Round your answer to the nearest whole
percent. Omit the "%" sign in your response.)**

Approximately __________% of the variation in the dependent
variable is explained by the independent variable.

**d.** Use the equation determined in part
*b* to predict the expected value of *y* for
*x* = 49. **(Round your intermediate calculations and
final answers to 3 decimal places.)**

*y* = _______________