The line of best fit through a set of data is y = - 42.824 – 3.033x According to this equation, what is the predicted value of the dependent variable when the independent variable has value 90?
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- my Welcome - LookingGlass × WA HW (6.5) X WA HW (6.5) - Math 1220GS X 6-5.pdf 10 webassign.net/web/Student/Assignment-Responses/submit?dep=34562730&tags=autosave #question1848913_1 2. [0/3 Points] DETAILS MY NOTES STITZCA3 6.5.028.CAP. The half-life of the radioactive isotope Carbon-14 is about 5730 years. Part (a) - Find N in terms of t. The amount of a radioactive element A at time t is given by the formula A(t) = Aoekt, + BC Relaunch to update: PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER where A is the initial amount of the element and k < 0 is the constant of proportionality which satisfies the equation (instantaneous rate of change A(t) at time t) = KA(t). Use the formula given above to express the amount of Carbon-14 left from an initial N milligrams as a function of time t in years. (Round k to six decimal places.) A(t) = 2.718280 mg Part (b) Find the percentage remaining. What percentage of the original amount of Carbon-14 is left after 10,000 years? (Round to the…John finds r=-.60 between the variable of number of hours studied (X) and number of errors on a statistics test (Y). He also finds r= +.30 between the variables of size of the classroom (X) and number of errors on the test (Y). (a) describe the relative shapes of the two scatterplots (b) describe the relative amount of variability in Y scores at each X in each study (c) describe the relative closeness of Y scores to the regression line in each studySeveral states have argued that the 65-mph speed limit has no justification and have refused to enforce it. The federal Department of Transportation (DOT) believes that the 65-mph limit saves lives. To illustrate its contention, the department regressed the number of traffic fatalities (Y) last year in a state on the state’s population (X1), the number of days of snow cover (X2), and the average speed of all cars (X3). The results are shown below. From the results shown above, write the regression equation. What proportion of variation in the number of traffic fatalities can be explained by the regression model?
- Doctors wanted to better understand the association between exercise and blood sugar levels. They had 100 participants run on a treadmill for anywhere from 0 to 60 minutes and then had their blood sugar levels checked. The level of sugar in the blood was measured in milligrams of sugar (mg) per deciliter of blood (dL). The results are shown below along with the line of best fit with its equation. 100 Which equation below defines the line of best line drawn on the graph? 90 A) y = 0.5x + 92 80- B) y = -60x + 100 C) y = 60x- 100 70- D) y = -0.5x + 92 60 10 20 30 40 50 60 Time on Treadmill (minutes) Blood Sugar Level (mg/dL)Use the regression equation, Ŷ = 3X + 4, to find the predicted Y value corresponding to X = 2 The predicted Y value = ?Which equation is the best fit for the data in the table? X Y 3 12 5 27 8 48 11 O y=-.0026x^2+.33x+1.16 O y=1.94x+2.140 O y=1.732vx-1 O y=1.732x-1
- The linear regression equation for the data from the number 2 is y=.27x+5.82. Describe the slope of the linear best-fit equations.A real estate company wanted to see the relationship between home prices and square footage of homes for sale. The regression line is ŷ = –802,456 + 144x, where x is the square footage of a home. Complete the statement based on the information. For every -square-foot increase, the predicted home price is predicted to increase by $The following regression equation is based on the analysis of four variables: SM_DOLLARS is the dollar amount of a watershed conservation agency's weekly spending on social media ads. RADIO_ADS is the number of radio advertisements aired weekly by the agency. WS_DOLLARS is the dollar amount of the agency’s weekly spending on web search ads. The variable WEB_VISITS is the number of weekly visitors to their educational website. These data have been recorded every week for the past three years. WEB_VISITS (expected) = 109 + 0.2*SM_DOLLARS + 1.5*RADIO_ADS + 1.1*WS_DOLLARS The data meet the assumptions for regression analysis, and the regression results, including the coefficients, were found to be statistically significant. How many additional weekly web visits would you predict when the agency increases its weekly spending on social media ads by $150 without changing the amount spent on radio ads or web search ads? (Round your answer to the nearest whole number.)
- Daphne, who graduated from one of the prestigious schools in Cebu, was asked by her boss to estimate the demand of the customer for the succeeding month. The resulting estimated regression equation is y = 1.304 + 0.602x, with the following range of independent variables: 0, 5, 8, 13, 16, 18, and 23. How will her boss interpret the estimated intercept?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.
