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# Solved paper 31790

1.&nbspSupposeyouve planted 30 tomato plants in your garden,. 1. Supposeyou ve planted 30 tomato plants in your garden, 10 each of three differentvarieties (labeled A, B, C), and you want to compare the varieties in terms ofthe weight of their fruits. However, youalso want to consider the height of the plants. So you weigh (in ounces) one ripe tomato from each plant, as well as theheight of the plant (in meters). Beloware the results from a general linear model on your data:Table 1 Regression ResultsEstimateSt. Errort-statisticp-valueIntercept2.980.515.84< 0.01Var_A-0.780.21-3.71< 0.01Var_B0.410.261.580.13Height0.200.092.220.04Here is how you dummy coded your categorical variable(variety of tomato plant):Variable Name Var_AVar_BPlant A10Plant B01Plant C00a. Write your overall regression equationpredicting fruit weight from tomato variety and height. (4 pts)Weight= 2.98 0.78(Var_A) + 0.41(Var_B) + 0.20(Height)b. Whichassumption would you have failed if you had weighed two fruits from each plant? (1pt)Two fruits from the same tree wouldviolate 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 2.09oz. What is this tomato s residual? (3pt)d. Which variety had the highestmean fruit weight, while controlling for height? (2pts 1.&nbspSupposeyouve planted 30 tomato plants in your garden,

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