The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level).

Stories | Height (in feet) |
---|---|

57 | 1050 |

28 | 428 |

26 | 362 |

40 | 529 |

60 | 790 |

22 | 401 |

38 | 380 |

110 | 1454 |

100 | 1127 |

46 | 700 |

b. What is your regression line written in the form ŷ = a + bx? **(Round a and b to 3 decimal places please!)**

ŷ = _____ + ______ x

b. Use your **regression** **equation** above to predict the height of a building with 7070 stories: ________ (Please enter a whole number)

c. Compute the coefficient of determination (write it as a decimal here). ___

d. Determine the percentage of the variation in the observed values of the response variable, height, explained by the regression with the explanatory variable, stories. _________%

The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level). Please answer (I, J, and K subparts please)

Height (in feet) | Stories |
---|---|

1050 | 55 |

428 | 27 |

362 | 26 |

529 | 40 |

790 | 60 |

401 | 22 |

380 | 38 |

1454 | 110 |

1127 | 100 |

700 | 46 |

What is the estimated height of a building with 3 stories? (Use your equation from part (c). Round your answer to one decimal place.)

ft
## Part (j)

## Part (k)

ft

Does the least squares line give an accurate estimate of height? Explain why or why not.

- The least squares regression line does not give an accurate estimate because the estimated height of a building with three stories is not within the range of
*y*-values in the data. - The estimate for the height of a three-story building does not make sense in this situation.
- The least squares regression line does not give an accurate estimate because a three-story building is not within the range of
*x*-values in the data. - The least squares regression line does give an accurate estimate because none of the buildings surveyed had three stories.

Based on the least squares line, adding an extra story adds about how many feet to a building? (Round your answer to three decimal places.)

What is the slope of the least squares (best-fit) line? (Round your answer to three decimal places.)

The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level). Please answer the all 3 subparts

Height (in feet) | Stories |
---|---|

1050 | 55 |

428 | 27 |

362 | 26 |

529 | 40 |

790 | 60 |

401 | 22 |

380 | 38 |

1454 | 110 |

1127 | 100 |

700 | 46 |

Calculate the least squares line. Put the equation in the form of:

ŷ = a + bx.

(Round your answers to three decimal places.)

Find the correlation coefficient *r*. (Round your answer to four decimal places.)

*r* =

Find the estimated height for 34 stories. (Use your equation from part (c). Round your answer to one decimal place.)

ft

ft

Find the estimated height for 92 stories. (Use your equation from part (c). Round your answer to one decimal place.)

The height (sidewalk to roof) of notable tall buildings in America is compared to the number of stories of the building (beginning at street level).

Stories | Height (in feet) |
---|---|

57 | 1050 |

28 | 428 |

26 | 362 |

40 | 529 |

60 | 790 |

22 | 401 |

38 | 380 |

110 | 1454 |

100 | 1127 |

46 | 700 |

a. Plot the points in the grid below, then sketch a line that best fits the data.

102030405060708090100110120300400500600700800900100011001200130014001500

Clear All Draw:

b. What is your regression line written in the form ŷ = a + bx? **(Round a and b to 3 decimal places please!)**

ŷ = + x

b. Use your **regression** **equation** above to predict the height of a building with 7070 stories: (Please enter a whole number)

c. Compute the coefficient of determination (write it as a decimal here).

d. Determine the percentage of the variation in the observed values of the response variable, height, explained by the regression with the explanatory variable, stories. %

e. The predictor variable,x, is and the response variable is

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