### Problem 2 RStudio a) b) Can a low barometer reading be used to predict maxim

ID: 3281195 • Letter: #

Question

### Problem 2 RStudio a) b)
Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? Data for this problem are based on information taken from Weatherwise (Vol 46, No 1), a publication of the American Meteorological Society. For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone.

| x | 1004 | 975 | 992 | 935 | 985 | 932 |
|----:|:------:|:----:|:----:|:----:|:----:|:----:|
| y | 40 | 100 | 65 | 145 | 80 | 150 |

a) Make a scatter diagram and draw the line you think best fits the data.

```{r}
# Insert R code below this line

```

b) Would you say the correlation is low, moderate, or strong? positive or negative?

```{r}
# Insert R code below this line

```

Explanation / Answer

y 2

1004

1008016

1600

975

100

950625

10000

992

984064

4225

935

145

874225

21025

985

970225

6400

932

150

868624

22500

5823

580

5655779

65750

General fit method for least square in the equation y=ax+b

a= 1496.78

b= 1.4427

Correlation coefficient

So the value of r= 0.989

b. As the r value is approaching to 1 the correlation is so much strong. In this situation I can conclude that it is strong as it is very nearer to 1 and is approaching to 1