Question
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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