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- 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.Data was collected for a regression analysis where sleep quality (as a percentage) depends on the amount of caffeine consumed in a day (measured in mg). bo was found to be 92.7, bị was found to be -0.76, and R' was found to be 0.86. Interpret the slope of the line. On average, each one mg increase in caffeine consumed increases a person's sleep quality by 92.7%. On average, when x = 0, a person has a sleep quality of -0.76%. On average, when x = 0, a person has a sleep quality of 92.7%. On average, each one mg increase in caffeine consumed decreases a person's sleep quality by 0.76%. We should not interpret the slope in this problem. We should interpret the slope in this problem, but none of the above are correct.05.01) Choose the equation below that represents the line passing through the point (-3, =) with a slope of 4.
- The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 24 students last week. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 12 hours watching TV. Note that you can use the graphing tools to help you approximate the line. Time spent doing homework (in hours) 32- 28- 24+ 20+ 16+ 12+ y 8+ 4- 0 ** 4 x -X X X X xxx x * X X X Time spent watching TV (in hours) xx 8 12 16 20 24 28 hours X (a) Write an approximate equation of the line of best fit. X (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 12 hours watching TV. XThe scatter plot shows the relationship between the average number of times, t, a person goes to a movie theater per month and the person's age in years, a, for 9 people. A trend line that passes through the point (5, 20) is also shown. Age 90 80 70 60 50 40 30 20 10 Going to the Movie Theater 0 1 2 3 4 5 6 7 8 Movie Theater Visits per Month What is the equation for the trend line?Determine if correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship. Your daily calorie intake and weight. (a) Positive (b) Negative (c) No correlation
- An industry analyst fits a linear trend model to 2 years of monthly observations measuring the volume of retail sales (in millions of dollars) of passenger cars in the United States. The trend variable equals 1 in January 2017. Below is the equation and some supplementary info Y hat = 20.020 + 0.2093 t Se = 1.061 R2 = .6703 DW = 1.533 Estimate the number of passenger cars that will be sold in January of 2019.Develop a scatterplot and explore the correlation between customer age and net sales by each type of customer (regular/promotion). Use the horizontal axis for the customer age to graph. Find the linear regression line that models the data by each type of customer. Round the rate of changes (slopes) to two decimal places and interpret them in terms of the relation between the change in age and the change in net sales. What can you conclude? Hint: Rate of Change = Vertical Change / Horizontal Change = Change in y / Change in xThe scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 25 students I week. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 12 hours watching TV. Note that you can use the graphing tools to help you approximate the line. Time spent doing homework (in hours) 32+ 28- 24+ 20+ 16+ 12+ 8- y 4. 0 XX 4 x Xx X 8 X X X X X X X 12 16 X x x X X * hours X xx Time spent watching TV (in hours) xx x 20 24 28 32 X (a) Write an approximate equation the line of best fit. (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 12 hours watching TV.
- The scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 23 students last week. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 15 hours watching TV. Note that you can use the graphing tools to help you approximate the line. Time spent doing homework (in hours) 32 28 24 20 16+ 12 8 4 0 y XX 4 X X X X X X X X 8 12 X X 16 X X X X -X X 20 24 Time spent watching TV (in hours) X X X 28 32 X X Ś (a) Write an approximate equation of the line of best fit. y = 0 (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 15 hours watching TV. hours X SThe scatter plot shows the time spent watching TV, x, and the time spent doing homework, y, by each of 23 students last week. (a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit. (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 15 hours watching TV. Note that you can use the graphing tools to help you approximate the line. Time spent doing homework Kin hours) 32- 28- Y 244 20- 124 F 44 B * K 12 x 14 20 24 26 Time spent watching TV (in hours) 32 X (a) Write an approximate equation of the line of best fit. = 0 (b) Using your equation from part (a), predict the time spent doing homework for a student who spends 15 hours watching TV. hoursA scatterplot with no linear trend will have an r value of zero true or false?











