# 1.  Suppose you’ve planted 30

Anonymous
timer Asked: Nov 25th, 2015

Question description

1.  Suppose you’ve planted 30 tomato plants in your garden, 10 each of three different varieties (labeled A, B, C), and you want to compare the varieties in terms of the weight of their fruits.  However, you also want to consider the height of the plants.  So you weigh (in ounces) one ripe tomato from each plant, as well as the height of the plant (in meters).  Below are the results from a general linear model on your data: Table 1 – Regression Results Estimate St. Error t-statistic p-value Intercept 2.98 0.51 5.84 < 0.01 Var_A -0.78 0.21 -3.71 < 0.01 Var_B 0.41 0.26 1.58 0.13 Height 0.20 0.09 2.22 0.04 Here is how you dummy coded your categorical variable (variety of tomato plant): Variable Nameà Var_A Var_B Plant A 1 0 Plant B 0 1 Plant C 0 0 a.  Write your overall regression equation predicting fruit weight from tomato variety and height. (4 pts) Weight= 2.98 – 0.78(Var_A) + 0.41(Var_B) + 0.20(Height) b. Which assumption would you have failed if you had weighed two fruits from each plant?  (1pt) Two fruits from the same tree would violate independence because they would be affected by the same variables. c. Suppose a fruit from a variety A plant that was 0.9 m tall weighed 2.09 oz.  What is this tomato’s residual? (3pt) d. Which variety had the highest mean fruit weight, while controlling for height? (2pts

## Tutor Answer

(Top Tutor) Studypool Tutor
School: UCLA
Studypool has helped 1,244,100 students
flag Report DMCA

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors