Pumpkin Weight Prediction Analysis In Nepal, during the fall harvest season pumpkins are sold in large quantities at farm stands. Often instead of weighing the pumpkin prior to sale, the farm stand operators will just place the pumpkin in the appropriate circular cutout on the counter. When asked wh
Pumpkin Weight Prediction Analysis
In Nepal, during the fall harvest season pumpkins are sold in large quantities at farm stands. Often instead of weighing the pumpkin prior to sale, the farm stand operators will just place the pumpkin in the appropriate circular cutout on the counter. When asked why this was done, one farmer replied, "I can tell the weight of the pumpkin from its circumference". To determine whether this was really true, a sample of 8 pumpkins' circumference and weights were measured:
| Circumference (cm) | 50 | 55 | 54 | 52 | 37 | 52 | 53 | 47 |
|---|---|---|---|---|---|---|---|---|
| Weight (gram × 100) | 12 | 20 | 15 | 17 | 50 | 10 | 15 | 14 |
i) Develop the estimating linear regression equation of weight of the pumpkin to the circumference.
ii) Estimate the weight of pumpkin if the circumference value is 40 cm. Can it be possible to predict the weight of a pumpkin if its circumference is 80 cm?
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Circumference X (cm) Weight Y (×100 g) ------ 50 12 55 20 54 15 52 17 37 50 52 10 53 15 47 14 - n = 8 - Required: (i) regression of weight on circumference, (ii) estimate weight at X = 40, and comment on X = 80. Computation table: X Y XY X² ------------ 50 12 600 2500 55 20 1100 3025 54 15 810 29...