Given N=10, Σr 140, Σy - 150, Σ(-10)--180 %3D Σύ-15- 215, Σα-10) -15) 60 h to %3D ad K.P. Coefficient of Correlation and estimate the value of y when x = 15
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- For the following exercises, match each scatterplot with one of the four specified correlations in Figure 9 and Figure 10. 14. r = 0.95For the following exercises, use each set of data to calculate the regression line using a calculator or other technology tool, and determine the correlation coefficient to 3 decimal places of accuracy.A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a person can do (y). The results of the regression were: y=a+bx a=37.5 b=-1.319 r2=0.597529 r=-0.773 Assume the correlation is significant (p-value < α α ), and use this to predict the number of situps a person who watches 7.5 hours of TV can do (to one decimal place)
- The variables X & Y have a negative correlation of -.70, therefore you could predict that A. None of the above B. as X increases, Y would decrease C. Both X & Y decrease at a -.70 rate D. Both X & Y increase at a +.70 rateA tank of water is contaminated with 64 pounds of salt. In order to bring the salt concentration down to a level consistent with EPA standards, clean water is being piped into the tank, and the well-mixed overflow is being collected for removal to a toxic-waste site. The result is that at the end of each hour there is 21% less salt in the tank than at the beginning of the hour. Let S = S(t) denote the number of pounds of salt in the tank t hours after the flushing process begins. (a) Explain why S is an exponential function. The amount of salt is being decreased by__________each hour, so the decay is at a___________ rate. Find its hourly decay factor.(b) Give a formula for S.S = (c) Make the graph of S that shows the flushing process during the first 15 hours. Describe in words how the salt removal process progresses. amounts of salt are removed early in the process, and, as time passes, the rate of removal . (d) In order to meet EPA standards, there can be no more…A house is purchased for $140,000 in January 2004. A year later, the house next door is sold for $149,800. The two houses are of the same style and size and are in similar condition, so they should have equal value.Use the model v = 140e0.0676586485t, where t is the number of years after January 2004 and v is the value in thousands of dollars, to predict when the house would be worth $290,000.
- Determine the best (according to sum-of-squares-measure) curve y = Axb, through the data above. Transformed equation ln(y) = ln(A) + b ln(x) or Y = a + bX.At α-value=0.01, test whether there is a significant relationship between thedependent variable (Y) and the independent variables (X1, X2 and X3).according to the Florida agency for workplace the monthly average number of uneploment claims in a certain country is given by N (t)= 22.16t^2 - 238.5t + 2005 where t is the number of years after 1990. A) During what year did the number of claims decrease? b)Find the relative extrema and interpret it.
