The correlation between a car's engine size and its fuel economy (in mpg) is r= -0.748. What fraction of the variability in fuel economy is accounted for by the engine size?

aChen -. M Gmail YouTube Maps oscar - Google D... Translate New Tab ece Gler 2/6 100% SID: 2. A researcher is studying the relationship between various properties of wine and their taste characteristics. The histogram below shows the amount of residual sugar (sugar left after fermentation) in a collection of wines. However, one of the bars, between 3 and 5 grams per liter, is missing. 50 (47.9) (38.7) 30 10 (0.1) (0.92) (0.1) 2 10 15 Residual sugar (grams/liter) Calculate the height of the missing bar and draw it in. (Show your work below, and indicate the numerical value in parentheses above the bar.) % per gramlter

A survey of 700 non fatal accidents showed that 287 involved defective equipment.  Find a point estimate for p, the population proportion of accidents that involved defective equipment and round to 4 decimal places if needed.

Empathy means being able to understand what others feel. To see how the brain expresses empathy, researchers recruited 16 couples in their midtwenties who were married or had been dating for at least two years. They zapped the man's hand with an electrode while the woman watched, and measured the activity in several parts of the woman's brain that would respond to her own pain. Brain activity was recorded as a fraction of the activity observed when the woman herself was zapped with the electrode. The women also completed a psychological test that measures empathy. Subject 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 Empathy Score     43 46 35 59 64 66 58 47 44 49 56 68 28 71 27 108 Brain Activity -0.129 0.389 0.019 0.378 0.016 0.419 0.109 0.515 0.149 0.746 0.245 0.57 0.219 0.716 0.364 0.762 Given that the equation for the regression line is y^=0.00709x−0.04187y^=0.00709x−0.04187, what is the residual (or deviation), yi−y^iyi−y^i, for subject 14?ANSWER:    Speak

A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Z-value p-value Single Policyholders n₁ = 440 Number making claims = 88 a. Use a = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. (to 2 decimals) (to 4 decimals) X Married Policyholders n2 = 840 Number making claims 126 We can conclude ✔ that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number. X * )

The correlation between hours of sleep and hours of study is r = 0.14. (a) Calculate r². (Round your answer to four decimal places.) ,2 = = (b) Choose a sentence that interprets value r². 1.96% of the variation in hours of sleep is not explained by hours of study. Variation in hours of study explains about 1.96% of the observed variation in hours of sleep. 1.96% of the variation in hours of sleep is not explained by the variation in hours of study. Hours of study explains about 1.96% of the observed variation in hours of sleep.

Rail ridership during the summer months in the North-East is believed to beclosely related to the number of tourists visiting the region. The following tableshows the data on the number of tourists and North-East ridership for the past16 years. (Answer in Excel showing formulas for answers)Year      Tourists( in millions)     Rail Ridership (in millions) 2000              9                                         2.32001              4                                         1.9 2002              7                                         1.7 2003              5                                         1.8 2004              12                                       2.8 2005              13                                       2.9 2006              14                                       2.42007              20                                       4.8 2008              7                                        1.3 2009              5                                         1.12010…

Firm handshakes seem to be related to shyness. In a sample of n = 12 people who were rated having firm handshakes, their average score on shyness was M = 43 with SS = 1170. Another sample of n = 8 people rated having weak handshakes, their average shyness score was M = 61 with SS =. 990. Use the sample data to estimate how much difference there is in shyness between people with firm vs. weak handshakes. Please do a point estimate and 90% confidence interval estimate.

Arsenic is toxic to humans and people can be exposed to it through contaminated drinking water, food, dust, and soil. Scientists have devised a non-invasive way to measure a person's level of arsenic poisoning: by examining toenail clippings. In a recent study, scientists measure the level of arsenic (in mg/kg) in toenail clippings of 8 people who lived near a former arsenic mine in Great Britain. The following levels are recorded. 0.8, 1.9, 2.7, 3.4, 3.9, 7.1, 11.9, 26.0 Below are the summary statistics of the data. min Q1 median Q3 max sd n mean 0.8 2.5 3.65 8.3 26 7.2125 8.368041 8 Suppose the 8 people examined were randomly sampled from residents near the former arsenic mine. Is it legitimate to construct a 95% confidence interval for the mean level of arsenic (in mg/kg) in toenail clippings for residents near the former arsenic mine using a t-distribution? Explain briefly.

Suppose you are told your BMI is 32, the  70th percentile for your age and sex. Please interpret this percentile age: 28 Female