col te hoise comes from air roar which increases am6 rather than from the engine
ID: 3039747 • Letter: C
Question
col te hoise comes from air roar which increases am6 rather than from the engines. The cockpit noise (in decibels) was measured to the left of the pilots ear on 60 randomly selected flights of one type of aircraft. The computer output below shows the results from a regression model in which the cockpit noise level was predicted by the air speed (in mph). Assume the conditions of the linear regression model are satisfied within the range of air speeds tested. Regression Analysis: Noise versus Speed The regression equation is Noise = 65.6 + 0.0734 Speed 95% CI Predictor Constant Speed r-value P-Value 10.42 44.77, 86.47) 6.28 0.000 0.073417 0.03098 (0.0115, 0.1354) 2.37 0.021 Coef SE Coef 65.624 S= 11.4088 R-Sq 8.85% R-Sq (adj ) , 7.289 = a. According to the regression line, what is the estimated mean cockpit noise for a plan sitting on the runway, not moving, with its engines running? b. Test the hypothesis that the intercept is 0 using a significance level of 0.05. n CoExplanation / Answer
Answer to the question with proper explanations:
a.
The estimated mean cockpit noise for a plane sitting on the runway , not moving with engine running is :
Y^ = 65.624 + .073417*Speed, where Speed = 0, because the plane isn't moving. So,
Noise = 65.6 +.0734*0 = 65.6
b. So, Lets calculate the t-value first = Coefficeint - 0 / SE = 65.624-0/10.42 = 6.28
At t = 6.28 at df of n-k-1 = 60-1-1 = 58 will have a p-value less than .05, and hence, the intercept is significant
4. the 95% CI for the slope is (.0115 to .1354).
It can be interpreted as if multiple samples of 60 are taken then 95% of the samples will be within the
(.0115 to .1354) range.
or in other words: We are 95% confidence that the population parameter will lie within this (.0115 to .1354) range
5.
Yes, when the interval doens't contain 0 then it is siginiciant, and we can conclude that cockpit noise is related to
speed. The range of (.0115 to .1354) is entirely in positive region and therefore doesn't contain 0
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