Mean of n observations say x1, X2, X3..,Xn is 5. If a constant term a = 7 is subtracted from each observation then the mean of the resulting %3D observations will be 2.

Researchers doing a study comparing time spent on social media and time spent on studying randomly sampled 200 students at a major university. They found that students in the sample spent an average of 2.3 hours per day on social media and an average of 2.17 hours per day on studying. If all the students at the university in fact spent 2.2 hours per day on studying, with a standard deviation of 2 hours, the probability of getting a sample average of 2.17 or less is:   a. 0.0023.   b. 0.9932.   c. 0.5792.   d. 0.4160.

Based on the scatterplot and residual plot, what type of model would be appropriate for summarizing the relationship between days and number of views? A popular television show recently released a video preview for the upcoming season on its website. As fans of the show discover the video, the number of views of the preview video has grown each day during the last 2 weeks. The number of days since the release of the video and the natural log of the number of video views is shown in the scatterplot. O An exponential model is appropriate because the residual plot does not show a clear pattern. O A linear model is appropriate because the scatterplot shows a strong, positive linear relationship. In(Views) vs. Days O A power model is appropriate because the scatterplot of days and natural log of views is strong and linear. 10 9.5 An exponential model is appropriate because the relationship between days and the natural log of views is linear, and the residual plot does not show a clear…

Below is a table showing the relationship between age and bone density of a typical healthy adult male.   Age (years)   25 35 45 55 65 75 85 Bone density (mg/cm²) 1165 1135 1085 1060 1015 975 910     Using your line of best fit find the equation for this line. Describe the correlation between the two variables and what conclusions can you make from this set of data?   Using graph plotted extrapolate to find the bone density of a 90 years old typical adult.

The line of best fit through a set of data is y = – 27.749 + 1.474x According to this equation, what is the predicted value of the dependent variable when the independent variable has value 30? y = Round to 1 decimal place.

A patient is classified as having gestational diabetes if their average glucose level is above 140 milligrams per deciliter (mg/dl) one hour after a sugary drink is ingested. Rebecca's doctor is concerned that she may suffer from gestational diabetes. There is variation both in the actual glucose level and in the blood test that measures the level. Rebecca's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with μ=140+5 mg/dl and σ=5+1 mg/dl. Using the Central Limit Theorem, determine the probability of Rebecca being diagnosed with gestational diabetes if her glucose level is measured: Once? n=5+2 times n=5+4 times Comment on the relationship between the probabilities observed in (a), (b), and (c). Explain, using concepts from lecture why this occurs and what it means in context.

Question 9 The first quartile (Q1) corresponds to the The median corresponds to the th The third quartile (Q3) corresponds to the th percentile. percentile. th percentile.

The regression line for the given data is  = 6.91x + 46.26. Determine the residual of a data point for which x = 4 and y = 75.

It takes a while for new factory workers to master a complex assembly proces. During thre first month new employees wor, the company tracks the number of days the have been on the job and the length of time it rtakes them to complete assembly. The correlation is most likely to be what?

A scientist is calibrating a laboratory apparatus that will be used to measure the concentration of ozone in air samples. To check the calibration, samples of known concentration are measured. The true concentrations in ppm (x) and the measured concentrations in ppm (y) data points are:  (0, 1), (10, 11), (20, 21), (30, 28), (40, 37), (50, 48), (60, 56), (70, 68), (80, 75), (90, 86), (100, 96).  Because of random error, repeated measurements on the same sample will vary. The apparatus is considered to be in calibration if its mean response is equal to the true concentration.  To check the calibration, the linear model y = ß0 + ß1 + ε is fit. Ideally, the value of ß0 should be 0 and the value of ß1 should be 1. The least-squares estimate of the error standard deviation σ is closest to: