Great Pumpkins:When growing giant pumpkins for competitions, growers need to keep track of the weights of the pumpkins while they are growing. It is difficult to weigh a large pumpkin before it is harvested, so a method has been developed for estimating the weight. The grower measures around the pumpkin both horizontally and vertically, then adds the results. This is called the OTT (over the top) measurement and is used to predict the weight of the pumpkin. Following are the OTT measurements and actual weights of the

10

largest pumpkins entered into official competitions in a recent year.

OTT(inches)	Weight(pounds)
455.0	2283.0
465.0	2138.0
465.0	2152.0
450.0	2017.5
477.0	2157.5
490.0	2528.0
490.0	2433.9
480.0	2416.5
457.0	2079.0
462.0	2070.1

Send data to Excel

Part:0 / 4

0 of 4 Parts Complete

Part 1 of 4

Compute the least-squares regression line for predicting the weight

y

from OTT

x

. Round the slope and

y

-intercept to at least four decimal places.

Regression line equation: y= .

Part:1 / 4

1 of 4 Parts Complete

Part 2 of 4

Is it possible to interpret the

y

-intercept? Explain.

(Choose one), the x -values must be (Choose one).

Part:2 / 4

2 of 4 Parts Complete

Part 3 of 4

If two pumpkins differ in OTT by

11

inches, by how much would you predict their weights to differ? Round the answer to three decimal places.

The weight would differ by pounds.

Part:3 / 4

3 of 4 Parts Complete

Part 4 of 4

Predict the weight of a pumpkin whose OTT is

450

inches. Round the answer to one decimal place.

The weight is predicted to be

pounds.