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1.The table below shows the results of an experiment that relates the height at which a ball is dropped,x, to the height of its first

1.The table below shows the results of an experiment that relates the height at which a ball is dropped,x, to the height of its first bounce,y.

Drop Height (x) (cm) Bounce Height(y) (cm)
100 26
90 23
80 21
70 18
60 16

Find, the mean of the drop heights.Find, the mean of the bounce heights.Find the linear regression equation that best fits the data.Write the equation you would use to show thatis a point on the line of regression.

2. A real estate agent plans to compare the price of a cottage,y, in a town on the seashore to the number of blocks,x, the cottage is from the beach. The accompanying table shoes a random sample of sales andlocation data. Write a linear regression equation that relates the price of a cottage to it's distancefrom the beach. Use the equation to predict the price of a cottage, to thenearest dollar,located three blocks from the beach.

Number of Blocks from the Beach (x) Price of a Cottage (y)
5 $132,000
0 $310,000
4 $204,000
2 $238,000
1 $275,000
7 $60,800

3.The table below represents a chart kept by a pediatrician tracking the circumference of babies heads at various months of age.

Age (in months) Circumference (in cm)
1 35.8
2 36.6
5 38.5
6 39.1
4 38.9
13 40.1
7 39.1
15 40.3
10 39.9
2 36.8
18 40.6

1).Determine the regression model that best fits the data, rounding all values to thenearest thousandth.Thenpredict the size of a baby's head at 24 months old. Round your answer to thenearest tenth.

2).The pediatrician measured a newborns head and found the circumference to be 35.1cm.Can he add the pair (0, 35.1) to the data set to calculate a new regression? Justify your answer.

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