A horticulturist is studying the relationship between tomato plant height and fe

Question

A horticulturist is studying the relationship between tomato plant height and fertilizer amount. Thirty tomato plants grown in similar conditions were subjected to various amounts of fertilizer over a four-month period, and then their heights were measured. Fertilizer Amount (ounces) Tomato Plant Height (inches) 1.9 20.4 5.0 49.2 4.2 56.1 1.3 24.3 4.9 29.2 5.4 60.8 3.1 24.6 0.0 25.3 2.3 26.2 2.5 25.7 0.9 26.5 1.0 28.6 4.5 62.9 3.8 30.8 5.3 43.2 2.3 33.4 4.0 35.1 1.4 22.1 3.9 40.6 4.0 44.5 3.6 29.7 0.6 21.1 1.6 25.4 2.5 29.6 4.5 27.6 3.6 32.6 2.0 33.5 0.0 22.5 2.5 27.6 3.1 46.4 Picture Click here for the Excel Data File a. Use Excel to estimate the model: Height = 0 + 1Fertilizer + . (Round your answers to 3 decimal places.) 1formula615_7.mml + Fertilizer b-1. Interpret the coefficient of Fertilizer. (Round your answer to 3 decimal places.) As the fertilizer increases by 1 ounce, the height is predicted to by inches. b-2. Does the y-intercept make practical sense? Yes, since the y-intercept is positive. No, since the y-intercept is positive. Yes, since some farmers may not use any fertilizer. No, since some farmers may not use any fertilizer. c. Use the estimated model to predict, after four months, the height of a tomato plant which received 3.0 ounces of fertilizer. (Round your answer to 3 decimal places.) Predicted height inches

Explanation / Answer

we use the excel to estimate the model

first select the two columns of given Values then Select Data tab on excel and the select Data analysis in right side and in data analysis select regression the you will get the model and the expected model is

a)

Height =18.639 +5.208* fertilizer

b1)

since in equation we multiplied fertilizers to 5.208 hence if we increase the fertilizer then Height will increase 5.208 times

As the fertilizer increases by 1 ounce, the height is predicted to increase by 5.208 inches.

b2)

if we do not give any fertilizer then plant also can grow so

Yes, since some farmers may not use any fertilizer

c)

given fertilizer =3

now

Height =18.639 +5.208* fertilizer =18.639 +5.208*3

=18.639 +15.624

=34.263

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