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.

Use Excel to estimate the model: Height = 0 + 1Fertilizer + . (Round your answers to 3 decimal places.)

As the fertilizer increases by 1 ounce, the height is predicted to (Click to select)increasedecrease by  inches.

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.)

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.

Explanation / Answer

Using excel, the regression results are obtained as

Sample size: 30
Mean x (x): 2.8566666666667
Mean y (y): 33.516666666667
Intercept (a): 18.639104802377
Slope (b): 5.2080146549439
Regression line equation: y=18.639104802377+5.2080146549439x

As fertilizer increases by 1 ounce, height(y) increases by 5.208 inch

B) yes, since the farmer may not use any fertiliser and the plant may grow naturally. Hence, C part is the answer

)C) height = 18.639 + 5.208*3 = 34.263 inch

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