WILL GIVE BRAINLIEST TO FIRST ANSWER. The table gives the output values that a function assigns to given input values. Input (r) Output (y)
-2
-8
4
10
9
25
12
34
Is the function a linear function?
Show work to justify your response on paper or in the box below.

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.