1. The temperature in degrees Fahrenheit and the number of emergency calls are s

Question

1. The temperature in 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

What is the value of the Coefficient of Determination (R2)?

Select one:

a. .5899.

b. .6583.

c. .8114.

d. .2577.

2. The average chocolate chip cookie contains 110 calories. A random sample of 15 different brands of chocolate chip cookies found that the average amount of calories was 127 calories with a sample standard deviation of 6.23 calories. At .01 level of significance, test the hypothesis that the average calories for chocolate chip cookies is greater than 110.

What are your null (H0) and alternative (H1) hypotheses?

Select one:

a. H0: The mean is equal to 127.
H1: The mean is not equal to 127.

b. H0: The mean is greater than 110.
H1: The mean is not greater than 110.

c. H0: The mean is equal to 110.
H1: The mean is greater than 110.

d. H0: The mean is equal to 127.
H1: The mean is greater than 127.

Number of Calls (Y)

Temperature (X)

7

68

4

74

8

82

10

88

11

93

9

99

13

101

Explanation / Answer

1)

corr coef, r =
{n*sum(XY) - sum(X)*sum(Y)} / { sqrt(n*sum(x^2)-[sum(x)]^2) * sqrt(n*sum(y^2)-[sum(y)]^2) }
{7*5535-605*62} / { sqrt(7*53219-[605]^2) * sqrt(7*600-[62]^2) }
0.8114

coef of determination, R^2
0.8114^2
0.65836996

b. .6583

2)

c. H0: The mean is equal to 110.
H1: The mean is greater than 110.

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

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