estimating confidence interval for mean value of

Question

Estimating confidence interval for mean value of y (dependent variable).

Consider the simple linear regression of Y, average total sleep time per 24 hour period (ASTD) on X, age of the young child (AGE). Do not use a regression program, rather run the calculations yourself on your calculator or using an Excel spreadsheet or equivalent and determine the regression parameters and the ANOVA table applicable to the following data and then answer the following parts to question 3 and select your answers from the following choices on the test document in Blackboard..

ATST(Y)           AGE(X)

566.00             4.40

461.75             14.00

491.10             10.10

565.00               6.70

462.00             11.50

532.10               9.60

477.60             12.40

515.20               8.90

493.00             11.10

528.30               7.75

575.90               5.50

532.00               8.60

530.50               7.20

1. What is a 95% confidence interval for the expected average total sleep time for a child of age 12?

a)  454.51  to 505.89

b)  466.75  to 492.01

c)  449.83  to 511.67

d)  468.04  to 490.71

e)  It cannot be determined from the information given.

2.  A residual is the value Y₁- ?₁. For the given data set calculate x' and show that it is equal to:

a)   13

b)   1.95

c)   0

d)   2.55

e)   3.25