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- RICCATI EQUATIONSDeferential EquationMeasuring the height of a Yellow Meranti is very difficult because these trees grow to heightsover 300 feet. In 2016, a group of Yellow Meranti in Sabah’s Danum Valley was announced as the tallest tropical trees in the world. People familiar with these trees understand that the height of a Yellow Meranti is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person (in inches) and the thickness of the bark of thetree (in inches). The file YellowMeranti contains the height, diameter at breast height of a person, and bark thickness for a sample of 40 Yellow Meranti trees. a. By referring to the p-value, determine whether the diameter and bark thickness of Yellow Meranti are significant in explaining its heights. b. Predict the height of the Yellow Meranti when the diameter of the tree at breast height of a person is 20 inches while the bark thickness is 4.4 inches.
- Distances between points: Find the distance between each pair of points.1. (1, 2, −3) and (4, 7, −3) 2. (−5, 7, 0) and (0, 6, −3) 3. (1, 5, −2) and (3, 9, −1) 4. (4, 6, 2) and (1, 3, −5)Calculas 3 Strokes TheoremMeasuring the height of a Yellow Meranti is very difficult because these trees grow to heightsover 300 feet. In 2016, a group of Yellow Meranti in Sabah’s Danum Valley was announced as the tallest tropical trees in the world. People familiar with these trees understand that the height of a Yellow Meranti is related to other characteristics of the tree, including the diameter of the tree at the breast height of a person (in inches) and the thickness of the bark of the tree (in inches). The file YellowMeranti contains the height, diameter at breast height of a person, and bark thickness for a sample of 40 Yellow Meranti trees. a. State the single linear regression models where the height of Yellow Meranti is treatedas the response or dependent variable while: i. the diameter of the tree at the breast height of a person (in inches) is the sole explanatory or independent variable. ii. the thickness of the bark of the tree (in inches) is the sole explanatory or independent variable.…