Question

9) The temperature id degrees Fahrenheit and the number of emergency calls are shown below. Determine if there is a relationship between the temperature and the number of emergency calls received. Use .05 significance.

number of calls (y) Temperature (x)

7 - 68

4 - 74

8 - 82

10 - 88

11 - 93

9 - 99

13 - 101

If X is equal to 80, what is the value of y?

A unable to determine because the relationship is not significant

B 7.6399

C 7.0

D 8.81088

Answer 1

X	Y	XY	X^2	Y^2
68	7	476	4624	49
74	4	296	5476	16
82	8	656	6724	64
88	10	880	7744	100
93	11	1023	8649	121
99	9	891	9801	81
101	13	1313	10201	169

From the above table and formyla we get the value are as:

n	7
sum(XY)	5535.00
sum(X)	605.00
sum(Y)	62.00
sum(X^2)	53219.00
sum(Y^2)	600.00

b	0.1898
a	-7.5441

ycap = -7.5441+ 0.1898x

when x = 80

Predicted value = -7.5441+ 0.1898 * 80

= 7.6399