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- An independent variable that makes a unique contribution to the prediction of a dependent variable is a(n) ______ variable. a. manifest b. orthogonal c. unique d. latentWhen the correlation coefficient (r) is zero, we can say: Choose one: a. the variables are not related B. the regression line fit is perfect C. the regression line is horizontal D. the variables are not linearly relatedt wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty-three wind speed readings gave an average velocity of x = 1075 cm/sec. Based on long-term experience, σ can be assumed to be 265 cm/sec. (a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.) lower limit cm/secupper limit cm/sec
- The scatter plot below shows the average cost of a designer jacket in a sample of years between 2000 and 2015. The least squares regression line modeling this data is given by yˆ=−4815+3.765x. A scatterplot has a horizontal axis labeled Year from 2005 to 2015 in increments of 5 and a vertical axis labeled Price ($) from 2660 to 2780 in increments of 20. The following points are plotted: (2003, 2736); (2004, 2715); (2007, 2675); (2009, 2719); (2013, 270). All coordinates are approximate. Interpret the slope of the least squares regression line. Select the correct answer below: 1.The average cost of a designer jacket decreased by $3.765 each year between 2000 and 2015. 2.The average cost of a designer jacket increased by $3.765 each year between 2000 and 2015. 3.The average cost of a designer jacket decreased by $4815 each year between 2000 and 2015. 4. The average cost of a designer jacket increased by $4815 each year between 2000 and…Identify the dependent variable(s) and the independent variable(s). What does the value of R-sq indicate? Comment on the value of R-sq. Is δ significant? State what this means in terms of attitude and practices.An aerabk exercise instructor remembars the data givan in the follawing table, which shows the recommanded maximum exercise haart rates for individuals of the given ages. (A graphing calculator is recommended.) Age (x years) 20 40 60 Maximum heart rate 172 155 138 (y bente per minute) (a) Find the lincar corelation coefficient for the deta. (Rcund your answer to two decimal places.) (b) What is the signiticance of the value found in part (a)? O The slope of the regression is about half of what the expected value is. O The graph of the regression points passes through nene of the data points. * The graph of the regression points passes through all three data peints. O One of the data points is the y-intercept. O The linear correlation cooficient should always be positive. (c) Find the equetion of the leest-squeres regression line. (Round your answers to two decimal pleces.) (d) Use the equation of the least-squares line from part (c] te predict the maximum cxercise heart rate fer a…
- Find r2 if the correlation coefficient is 0.92. Only round your final answer to 2 decimal places.The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 48 inches. Is the result close to the actual weight of 538 pounds? Use a significance level of 0.05.In the simple linear regression model, if there is a very strong correlation between the independent and dependent variables, then the correlation coefficient should be a) close to either -1 or +1 b) close to zero c) close to -1 d) close to +1 ( don't hand writing solution)