Describe the important features of the relationship between two variables:

Table of results Variable Intercept Revenue Efficiency Coefficients 11.680464 0.6999226 0.8029396 Print Standard Error 7.132097 0.321328 0.077201 T Statistic 1.64 2.18 10.40 Done p-Value 0.1048 0.0319 <0.0001 X ons of dollars, as a measure of nonp sure of nonprofit fundraising efficienc haritable services. Both variables X₂ d in the accompanying table. Comple

The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is​ (almost) inversely proportional to gas​ mileage; higher gas mileage means lower fuel cost and​ vice-versa. If you keep track of the number of miles driven on each tank of gas as well as how much gas is​ purchased, it is easy to calculate gas​ mileage; many cell phone apps exist to track this. The data in the following table is the gas mileage for Mr.​ Hebert's 2015 Jeep Wrangler Unlimited.     12.85 14.98 15.36 17.09 18.86 13.28 15.11 15.62 17.50 19.07 13.48 15.12 15.65 17.66 20.91 14.65 15.13 16.41 18.17 21.17 14.71 15.14 16.80 18.27 22.11 f. Construct a​ 95% confidence interval to estimate the average fuel economy of the jeep. enter your response here≤μ≤enter your response here ​(Round your answers to 2 decimal​ places.)

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What's true about the first differences and slope for a linear equation?

The table shows data collected on the relationship between the average daily temperature and time spent watching television. The line of best fit for the data is yˆ=−0.66x+88.5. Assume the line of best fit is significant and there is a strong linear relationship between the variables.  Temperature (Degrees)    Minutes Watching Television     35                                        66    45                                        58    55                                        52    65                                         46   (a) According to the line of best fit, what would be the predicted number of minutes spent watching television for an average daily temperature of 46 degrees? Round your answer to two decimal places, as needed. Provide your answer below:   The predicted number of minutes spent watching television is .

The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is​ (almost) inversely proportional to gas​ mileage; higher gas mileage means lower fuel cost and​ vice-versa. If you keep track of the number of miles driven on each tank of gas as well as how much gas is​ purchased, it is easy to calculate gas​ mileage; many cell phone apps exist to track this. The data in the following table is the gas mileage for Mr.​ Hebert's 2015 Jeep Wrangler Unlimited.     12.85 14.98 15.36 17.09 18.86 13.28 15.11 15.62 17.50 19.07 13.48 15.12 15.65 17.66 20.91 14.65 15.13 16.41 18.17 21.17 14.71 15.14 16.80 18.27 22.11 c. Find the five number summary. enter your response here​, enter your response here​, enter your response here​, enter your response here​, enter your response here

Data was collected for a regression analysis comparing car weight and fuel consumption. b0 was found to be 32.7, b1 was found to be -7.6, and R2 was found to be 0.86. Interpret the y-intercept of the line. On average, each one unit increase in the weight of a car decreases its ful consumption by 7.6 units. On average, when x=0, a car gets -7.6 miles per gallon. On average, when x=0, a car gets 32.7 miles per gallon. On average, each one unit increase in the weight of a car increases its fuel comsumption by 32.7 units. We should not interpret the y-intercept in this problem.

When coastal power stations take in large quantities of cooling water, it is inevitable that a number of fish are drawn in with the water. Various methods have been designed to screen out the fish. A particular article examined intake fish catch at an English power plant and several other variables thought to affect fish intake. y = fish intake (number of fish)x1 = water temperature (°C)x2 = number of pumps runningx3 = sea state (values 0, 1, 2, or 3)x4 = speed (knots) Part of the data given in the article were used to obtain the estimated regression equation(based on n = 26). SSRegr = 1486.6 and SSResid = 2230.1 were also calculated. (a) What proportion of observed variation in fish intake can be explained by the model relationship? (Round your answer to four decimal places, if needed.)R2 = (b) Estimate the value of σ. (Round your answer to three decimal places, if needed.)se = (c) Calculate adjusted R2. (Round your answer to four decimal places, if needed.)Adjusted R2 = Adjusted R2…

Explain what is meant when two variables are positively linesrly related. What would scatter plott look like?    Two variables x and y are postively linearly related if when the x value increases , the y value increases or decrease? The points on a scatter plot fall approximately in a-an ascending straight line b- a descending curve c- a descending straight line or d- an ascending curve from left to right?