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- The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.wrie down the estimated regression equation?A surgery intern has conducted a study of the sleeping habits of her colleagues and has developed a following regression equation: y-hat = 6 + 0.1X, where X is the number of hours working on one shift, and Y is the number of hours sleeping at night after that shift. Yvette worked 10 hours and slept 8 hours. What is Yvette’s residual? 0.1 1 6 7
- 4 The estimated regression equation predicts that for each additional $1,000 income life insurance policy will rise by _______ ($1,000) a 3.056 b 3.820 c 4.774The following data came from 6 people randomly selected from a population of children between the ages of 10 and 17. It shows their age and the number of push-ups they can do. Based on the linear regression equation, what expectation, on average, would we have for the number of push-ups 15-year olds can do? Round to the nearest whole number.Use the following linear regression equation to answer the questions. x1 = 1.0 + 3.9x2 – 8.4x3 + 2.4x4 Suppose x2 decreased by 4 units. What would be the expected change in x1?
- If we collect monthly sales over two years for N=100 stores, we should not apply a simple linear regression model directly to the data, because the observations are not independent with each other. Is this statement True or False? A) True B) FalseA set of n=10 pairs of X and Y scores has SSx=10, SSy=60, and SP=20. What is the slope of the regression equation for these scores?Assume that there is a positive linear correlation between the variable R (return rate in percent of financial investment) and the variable t (age in years of the investment) given by the regression equation R = 2.5t + 5.3. 1- Without further information, can we assume there is a cause-and-effect relationship between the return rate and the age of the investment? 2- If the investment continues to grow at a constant rate, what is the expected return rate when the investment is 7 years old? 3- If the investment continues to grow at a constant rate, how old is the investment when the return rate is 32.8%?
- Suppose that a simple linear regression model is appropriate for describing the relationship between y = house price (in dollars) and x = house size (in square feet) for houses in a large city. The population regression line is y = 22,500 + 43x and ?e = 4,000. b) Approximately what proportion of 2,000 sq ft homes would be priced over $110,000? (You may need to use a table. Round your answer to four decimal places.) Approximately what proportion of 2,000 sq ft homes would be priced under $100,000? (You may need to use a table. Round your answer to four decimal places.)Assume that there is a positive linear correlation between the variable R (return rate in percent of financial investment) and the variable t (age in years of the investment) given by the regression equation R = 2.5t + 5.3. 1- If the investment continues to grow at a constant rate, what is the expected return rate when the investment is 7 years old?Suppose that a simple linear regression model is appropriate for describing the relationship between y = house price and x = house size (sq ft) for houses in a large city. The true regression line is y = 23,000 + 48x and ? = 4000. (a) What is the average change in price associated with one extra sq ft of space?$ With an additional 100 sq ft of space?$ (b) What proportion of 1800 sq ft homes would be priced over $110,000? (Round your answer to four decimal places.)Under $100,000? (Round your answer to four decimal places.)