1.  Suppose you’ve planted 30

yrnuunaanu
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

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

This question has not been answered.

Create a free account to get help with this and any other question!

Related Tags

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