If the relationship between y and x is given by the equation y = 1.57 - 0.0407x, the slope coefficient 0.0407 means this: a) for every unit increase in x, y increases by 1.5293 b) for every unit increase in x, y decreases by 1.5293 c) for every unit increase in x, y increases by 0.0407 d) for every unit increase in x, y decreases by 0.0407

It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico:  x 5.00 6.00 6.50 7.50 8.00 y 25 55 64 66 75 Find a for the equation of the least-squares line y=a+bx given that x=6.6  and y=57. Group of answer choices –57.039 –41.421 57.039 –56.621 –56.679

In the equation Y’ = b0+bX, Y’ is level of boredom and X is listening to statistics tutorials. If b = 0, what can be said about the relationship between boredom and listening to statistics tutorials? Answer Choices A) No relationship exists because there is no slope B) A positive relationship exists C) A negative relationship exists

pan's high population density has resulted in a multitude of resource-usage problems. One especially serious difficulty concerns waste removal. An article reported the development of a new compression machine for processing sewage sludge. An important part of the investigation involved relating the moisture content of compressed pellets (y, in %) to the machine's filtration rate (x, in kg-DS/m/hr). The following data was read from a graph in the article. x 125.8 98.1 201.4 147.3 145.9 124.7 112.2 120.2 161.2 178.9 159.5 145.8 75.1 151.5 144.2 125.0 198.8 133.9 y 77.9 76.8 81.5 79.8 78.2 78.3 77.5 77.0 80.1 80.2 79.9 79.0 76.9 78.2 79.5 78.1 81.5 71.0 (a) Determine the slope and intercept of the estimated regression line. (Round your answers to 5 decimal places, if needed.)slope: intercept: (b) Does there appear to be a useful linear relationship? Carry out a test using the ANOVA approach and a significance level of 0.05. State the appropriate null and alternative hypotheses.…

It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico:x5.756.257.258.259.25y2218786795What percentage of the variation in y cannot be explained by the corresponding variation in x and the least-squares line?

To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer's adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with larg given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on adjusted gross income and the average or reasonable amount of itemized deductions follow. Adjusted Gross Income Itemized Deductions ($1,000s) 22 ($1,000) 9.6 27 9.6 32 10.1 48 11.1 65 13.5 85 120 15.7 25.5 (a) Develop a scatter diagram for these data with adjusted gross income as the independent variable. 30 25 20 15 10 5 30 25 20 15 10 5+ 30 25- 20- 15- 10- .. 5- 0 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 0 20 40 60 80 100 120 140 0 Adjusted Gross Income ($1,000s) 20 40 60 80 100 120 140 Adjusted Gross Income ($1,000s) 30 25 20 15 10 5- 0 20 40 60 80 100 Adjusted Gross Income ($1,000s) 120 140 G (b) Use the least squares method to…

If the relationship between y and x is given by the equation y = 1.57 − 0.0407 x, the slope coefficient 0.0407 means this: __________. for every unit increase in x, y decreases by 0.0407 for every unit increase in x, y increases by 0.0407 for every unit increase in x, y increases by 1.5293 for every unit increase in x, y decreases by 1.5293

25 of 30 The following graph shows the mean change in mass of two groups of animals fed on different diets over a period of 2 years: Time course of mass change 275 250 225 200 175 150 125 100 0 3 69 12 15 18 21 24 Time (months) Which of these is the most misleading property of this graph? OThe errors vary between data points. O A best fit curve wasn't shown The interpolating lines have different styles. False zero None of these is relevant to this graph. Mass (g) HH H HH HH HH

A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from streams in different States. They recorded the pH (X) of the water (i.e. units above pH 7), and the BCI, a measure of biological diversity (Y). The data obtained is summarized below. DATA: Observation 1 2 3 4 5 6 7 8 9 10 11 12 pH above 7 (X) 0.65 0.50 0.93 0.86 1.02 0.94 1.16 1.24 1.30 1.45 1.85 1.89 Units of BCI (Y) 14.5 22.9 15.8 38.3 18.9 20.0 21.4 23.8 23.6 25.2 27.3 29.4 Find the correlation coefficient between pH and BCI (round to the nearest hundredth; place your answer in the box below)

Let f(x)f(x) be the height of a maple tree in inches and xx the number of years since 2000. A linear model for the data is f(x)=9.44x+84.182f(x)=9.44x+84.182.A) To the nearest inch, estimate the height of the maple tree in 2011.  __?__   inchesB) Use the equation to find the year in which the tree will be 235 inches tall. __?__