Math

StatisticsQ&A LibraryMeasuring the height of a California redwood tree is very difficult because these trees grow to heights of over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person. The data in the table represent the height (in feet) and diameter (in inches) at the breast height of a person for a sample of 21 California redwood trees.Assuming a linear relationship, use the least- squares method to compute the regression coefficients b0 and b1. State the regression equation that predicts the height of a tree based on the tree’s diameter at breast height of a person.Interpret the meaning of the slope in this equation.Predict the mean height for a tree that has a breast height diameter of 25 inches.HeightDiameter at breast heightBark thickness122.0201.1193.5362.8166.5182.082.0101.2133.5212.0156.0291.4172.5511.881.0111.1148.0262.5113.0121.584.0131.4164.0402.3203.3522.0174.0302.5159.0223.0205.0422.6223.5454.3195.0544.0232.5392.2190.5363.5100.081.4Question

Asked Dec 2, 2019

90 views

Measuring the height of a California redwood tree is very difficult because these trees grow to heights of over 300 feet. People familiar with these trees understand that the height of a California redwood tree is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person. The data in the table represent the height (in feet) and diameter (in inches) at the breast height of a person for a sample of 21 California redwood trees.

- Assuming a linear relationship, use the least- squares method to compute the regression coefficients b0 and b1. State the regression equation that predicts the height of a tree based on the tree’s diameter at breast height of a person.
- Interpret the meaning of the slope in this equation.
- Predict the mean height for a tree that has a breast height diameter of 25 inches.

Height | Diameter at breast height | Bark thickness |

122.0 | 20 | 1.1 |

193.5 | 36 | 2.8 |

166.5 | 18 | 2.0 |

82.0 | 10 | 1.2 |

133.5 | 21 | 2.0 |

156.0 | 29 | 1.4 |

172.5 | 51 | 1.8 |

81.0 | 11 | 1.1 |

148.0 | 26 | 2.5 |

113.0 | 12 | 1.5 |

84.0 | 13 | 1.4 |

164.0 | 40 | 2.3 |

203.3 | 52 | 2.0 |

174.0 | 30 | 2.5 |

159.0 | 22 | 3.0 |

205.0 | 42 | 2.6 |

223.5 | 45 | 4.3 |

195.0 | 54 | 4.0 |

232.5 | 39 | 2.2 |

190.5 | 36 | 3.5 |

100.0 | 8 | 1.4 |

Step 1

1.

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

- In Excel sheet, enter
**Height**in one column and enter**Diameter at breast height**in one column. - In
**Data**, select**Data Analysis**and choose**Regression**. - In
**Input Variable y Range,**select**Height**. - In
**Input Variable x Range,**select**Diameter at breast height**. - Click
**Labels**. - Click
**Ok**.

Output obtained using Excel is given below:

Step 2

From the output, the regre...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: . A producer of high quality teas wants to be sure they are filling tea bags with an average weight...

A: Let’s mean is M.Claim: Any under filling or overfilling tea bags with an average weight of 5.5 grams...

Q: 6.54 Consider a population with values of x equal to 0 or 1. Assume that the values of x are equally...

A: Answer will vary. One of the possible answers is given below:a)Software procedure:Step-by-step proce...

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was 2...

A: From the given information, the standardized exam’s scores are normally distributed with mean is 21....

Q: A real estate agent wishes to determine whether a tax assessors and real estate appraises agree on t...

A: From the given information, the claim of the problem is there is a significance difference in the va...

Q: 6.0. Help -1 If op2 5 and nq 2 5, estimate P(at least 3) with n 13 and p 05 by using the normal dist...

A: Given datan = 13p = 0.5np = 13 x 0.5 = 6.5 > 5nq = 13 x (1 – 0.5 ) = 6.5 > 5So, conditions for...

Q: significance? C. Can you reject Ho at the a significance? 0.01 level of Working with the Concepts 9....

A: According to the provided data,

Q: Listed below are the numbers of words spoken in a day by each member of six different couples. Use a...

A: Given Data

Q: At a Raffle, 1000 tickets are sold at $5 each. There are 20 prizes of $100, and 1 grand prize of $20...

A: Before calculating the expected net gain, the probability distribution for the expected net gain is ...

Q: Listed below are symbolic blood pressure measurements taken the right and left arms of the same wome...

A: The appropriate Null and Alternative Hypotheses are given below: From the given information, the cla...