Suppose the relationship between Y and X is given by: Y = 30 - 25X + error  What is the expected value of Y when X is 0?

How would you figure this out?

Figure shows three residual plots and a normal probability plot of residuals. For each part, decide whether the graph suggests violation of one or more of the assumptions for regression inferences. Explain your answers.

A researcher believes at 49% of people who grew up as the only child have an IQ score over 100. However, unknown to the researcher this figure is actually 50% which is the same as the general population. To attempt to find evidence for the claim, the researcher is going to take a random sample of 400 people who grew up as an only child. Let X be the proportion of people in the sample with an IQ score above 100. (a) find the mean of C (b) find the standard deviation of X (c) compute the approximation for P(x >0.49) , which is the probability that there will be 49% or more with the IQ scores over 100 in the sample. Round your answer to four decimal places. * greater than sign, is supposed to be greater than or equal to sign*

Find p value   (a) upper-tailed test, df = 7, t = 2.00   (b) upper-tailed test, n = 14, t = 3.50   (c) lower-tailed test, df = 10, t = −2.30   (d) lower-tailed test, n = 23, t = −4.10

botanist wants to see the effect of sound at 2 Hz frequency in a certain group of algae. From prior research was understood that (without sound stimuli the algae would be double in size every 24 hours on average: Around of experiment is conducted on n sample of algae and the average rate of growth is obtained to be X.3 times every 24 hours with standard deviation of X/10 where X is the last two digits of your student ID. (My student ID 04) a) In two sided hypothesis test, what is the appropriate Null and Alternative Hypothesis? b) In one sided hypothesis test, what is the appropriate Null and Alternative Hypothesis? c). If n=100, what is the appropriate conclusion that the botanist could take in two-sided test? d). If n=20, what is the appropriate conclusion that the botanist could take in two-sided test? e) If n=100, what is the appropriate conclusion that the botanist could take in one-sided test? f). if n=20, what is the appropriate conclusion that the botanist could take in…

A variable of two populations has a mean of 8 and a standard deviation of 6 for one of the populations and a mean of 7 and a standard deviation of 5 for the other population. (a)For independent samples of sizes 3 and 6, respectively, find the mean and standard deviation of ?̅ 1 − ?̅ 2  (b)Must the variable under consideration be normally distributed on each of the two populations for you to answer part (a)? Explain your answer  (c)Can you conclude that the variable ?̅ 1 − ?̅ 2 is normally distributed? Explain your answer.

Suppose the relationship between Y and X is given by: Y = 30 - 25X + error  What is the expected value of Y when X is 10?

Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 50 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that ? = 7.20 ml/kg for the distribution of blood plasma.

* Let X is a Gaussian random variable with zero mean an variance o. Y = X. Find mean of Random Variable Y.