Question

The following frequency table shows the number of parking spots at each of the houses on Lombardi Avenue.

Parking spots: Houses:
0. 1
1. 1
2. 2
3. 1
4. 1

Answer 1

The Data:

2, 1, 2, 0, 2, 4, 3

Answer:

Number of Parking Spots | Number of Houses

0 | 1

1 | 1

2 | 3

3 | 1

4 | 1

If this frequency table doesn't make sense, here's this:

`0 = 1`

`1=1`

`2=3`

`3=1`

`4=1`

Answer 2

The correlation coefficient for the number of parking spots at each of the houses on Lombardi Avenue is 0.

Explanation:

The data for the number of parking spots at each of the houses on Lombardi Avenue is provided.

Compute the correlation coefficient to determine whether there is any linear relationship between the two variables as follows:

`r=\frac{n\cdot\sum XY-\sum X\cdot\sum Y}{\sqrt{[n\cdot\sum X^(2)-(\sum X)^(2)]\cdot [n\cdot\sum Y^(2)-(\sum Y)^(2)]}}`

`=\frac{(5* 12)-(10* 6)}{\sqrt{[(5* 30)-(10)^(2)]\cdot [(5* 8)-(6)^(2)]}}\\\\=(0)/(√(200))\\\\=0`

The correlation coefficient for the number of parking spots at each of the houses on Lombardi Avenue is 0.