Question

Consider the following set of ordered pairs. x 5 2 2 3 7 6 y 3 8 5 4 2 7 a. Using alphaequals0.10​, test for the significance of the regression slope. b. Construct a 90​% confidence interval for the population slope. a. Using alphaequals0.10​, test for the significance of the regression slope. Identify the null and alternative hypotheses. Upper H 0​: beta ▼ not equals less than greater than greater than or equals equals less than or equals nothing Upper H 1​: beta ▼ greater than greater than or equals less than or equals equals not equals less than nothing Find the test statistic. tequals nothing ​(Round to two decimal places as​ needed.) Find the​ p-value. ​p-valueequals nothing ​(Round to three decimal places as​ needed.) State the conclusion. ▼ Reject Do not reject the null hypothesis. There is ▼ sufficient insufficient evidence to conclude that the regression slope ▼ is is less than is not is greater than nothing. b. Construct a 90​% confidence interval for the population slope. UCL equals nothing LCL equals nothing ​(Round to two decimal places as​ needed.)

Answer 1

from above

a)

for hypothesis:

null hypothesis:		β1	=	0
Alternate Hypothesis:		β1	≠	0

test statistic t =-1.09

p value =0.337 ( please try 0.338 if this comes wrong)

Do not reject the null hypothesis

There is insufficient evidence to conclude that the regression slope  is not equal to 0.

b)

90% confidence interval

UCL =0.50

LCL =-1.53