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1. Use the same variable you picked to construct the confidence interval 2. Writ

ID: 3174823 • Letter: 1

Question

1. Use the same variable you picked to construct the confidence interval

2. Write both hypothesis

3. Tell about the tail of the test, find the test statistic and p value (please show steps if possible, I don't understand it that well.)

4. Write the initial conclusion based on the p value approach… use alpha = .05

5. Write your final conclusion using a complete sentence in reference to the context of your problem

6. Discuss the error associated with your decision

Answer the questions with the given data:

var1                             var2

Temperatures (F)       Ice cream sales ($)

58                                  215

62                                  325

52                                185

60                                332

66                                406

74                                522

68                                412

80                                614

76                                544

74                                445

64                                408

Explanation / Answer

here question is not clearly mentioned what do you want.

what I could understand that you want to know the effiect of temperature(x) on icecream sales(y).

(if you want more than this please revert back at earliest)

here we use simple multiple linare regression of line y=a+bx

using software the equation and other information may be retrieved is as

here we want to test the effect of x as its regression coefficient is 14.86379 which is positive.

here null hypothesis H0:b=0 and alternate hypothesis H1:b is not equal to zero.

we use t-test for test of significance of b and t=b/SE(b)=14.86/1.3=11.4,

the critical t(0.05,9)=1.99 is less than calculated t=11.4, so we fail to accept H0 and conclude that b is not zero and there is siginificant effict of temperature on sales.

Variable DF Parameter Standard t Value Pr > |t| Estimate Error Intercept 1 -591.0931 87.63845 -6.74 <.0001 x 1 14.86379 1.3036 11.4 <.0001