Question

1) In the regression equation, y = 2.164 + 1.3657x, n = 6, the mean of x is 8.667, SS_xx = 89.333 and S_e = 3.44. A 95% confidence interval for the average of y when x = 8 is _________.

2)If the correlation coefficient between variables X and Y is roughly zero, then ______.

3) Determine the Pearson product-moment correlation coefficient for the following data.

x	1	11	9	6	5	3	2
y	10	4	4	5	7	7	9

(Do not round the intermediate values. Round your answer to 3 decimal places.)

4.A quality manager is developing a regression model to predict the total number of defects as a function of the day of week the item is produced. Production runs are done 10 hours a day, 7 days a week. The dependent variable is ______.

a) day of week

b) number of production runs

c) number of defects

d) production run

e) percentage of defects

5) In the equation y = m x + b, which represents a straight lime, b is the __________.

a) slope of the line

b) origin

c) y-intercept of the line

d) x-intercept of the line

Answer 1

y(hat) = 2.164 + 1.3657

x= 8

y(hat) = 2.164 + 1.3657*8

y(hat) = 13.0896

95% Confidence interval is ( 9.1332 , 17.046)

NOTE: AS PER THE GUIDELINES I HAVE DONE THE FIRST PLEASE REPOST THE REST. THANK YOU