An aerobic exercise instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. (A graphing calculator is recommended.) Age (x years)   20      40      60 Maximum heart rate (y beats per minute) 166    150    134 (a) Find the linear correlation coefficient for the data. (Round your answer to two decimal places.) (b) What is the significance of the value found in part (a)? The graph of the regression points passes through all three data points.One of the data points is the y-intercept.    The linear correlation coefficient should always be positive.The graph of the regression points passes through none of the data points.The slope of the regression is about half of what the expected value is. (c) Find the equation of the least-squares regression line. (Round your answers to two decimal places.) ŷ =        (d) Use the equation of the least-squares line from part (c) to predict the maximum exercise heart rate for a person who is 70. (Round your answer to the nearest whole number.)  beats per minute (e) Is the procedure in part (d) an example of interpolation or extrapolation? extrapolationinterpolation?

Match the linear correlation coefficient to the scatter diagram. The scales on the x- and y-axes are the same for each diagram. (a) r= - (b) r= - 0.546 0.025 0.946 (c) r= - (d) r= - 1 Click the icon to view the scatter diagrams. ..... r= - 0.025 r= - 0.546 r= - 0.946 r= - 1 Drag each of the r-values given above into the appropriate area below. Explanatory Explanatory Explanatory Explanatory Response Response Response Response • .

Please explain step by step how you solved for each problem, and where the numbers came from.

What is the correlation between happiness and volunteer hours?  Enter your value with three decimal places; do not include a zero to the left of the decimal point (i.e., .001, not 0.001, not .01, not .1).  You only need to include the direction sign for a negative correlation.

The data below was collected from manufacturer advertisements of their vehicles horsepower (x) and highway gas mileage (mpg=y). Use this data to answer the following questions. horsepower 146 250 340 350 390 190 220 mpg 33 28 15 17 11 35 42 1. Find the p-value to determine if there is a linear correlation between horsepower and highway gas mileage (mpg). Record the p-value below. Round to four decimal places.p-value==2. Is there a linear correlation between horsepower and highway gas mileage (mpg)?   3. If there is a linear correlation, write the correlation coefficient below. Otherwise, leave it blank. Round your final answer to four decimal places. Be careful with your sign.r=r= 4. If there is a linear correlation, write the regression equation below. Otherwise, leave it blank. Round all numbers to four decimal places.ˆy=y^=5. Using the data shown above, predict the the highway gas mileage (mpg) for a car that has a horsepower of 225. Round your final answer to two decimal…

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Listed below are amounts (in millions of dollars) collected from parking meters by Brinks. Find coefficient of variation The data were provided by the attorney for New York City, and they are listed on the DASL Web site. Use s= 2.137 Collection contractor was Brinks:  71 66 72  69  68  69 Group of answer choices 3.1% 11.5% 1.5% 4.1%

Given the graph below, what type of correlation would you predict there is between the variables? CAR PRICE DEPENDING ON AGE Price (dollars) 10000 9000 8000 7000 6000 5000 4000 3000 2000 1000- 4. 10 Age (years) O Positive correlation O Negative correlation O No correlation

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