The following Ilinear plot is derived from a function of the form y= ae", where a and b %3D are constants. 7. 6. 2. 0.1 0.2 03 04 0. 0.6 For the function y= ae™ from which the data points on the graph were derived, the numerical value of the constants are a = %3D and b In y
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- Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.Below is solution to question 6, I need answer for question 7 Estimated regression line and coefficient of determination is:- y = 0.0041x + 0.0082R² = 0.0845 The estimated slope coefficient is positive, which is consistent with the CAPM. The estimated intercept is positive, which is consistent with the CAPM. Option a and c are correct.
- A particular professor has noticed that the number of people, P, who complain about his attitude is dependent on the number of cups of coffee, n, he drinks. From eight days of tracking he compiled the following data: People (P) 11 11 9 10 8 7 7 4 Cups of coffee (n) 1 1 2 3 3 4 4 5 Unless otherwise stated, you can round values to two decimal places.a) Using regression to find a linear equation for P(n)P(n)P(n) = b) Interpret the meaning of the slope of your formula in the context of the problemc) Interpret the meaning of the P intercept in the context of the problemd) Use your model to predict the number of people that will complain about his attitude if he drinks 9 cups of coffee. e) Is the answer to part f reasonable? Why or why not?f) How many cups of coffee should he drink so that no one will complain about his attitude? It is ok to round to one decimal place.Here is data with y as the response variable. x y 43.7 85.5 32.3 95.9 61.5 68.4 37.5 85.7 39.2 80.9 50.8 82.5 47.7 81.4 -69.9 90.7 57.6 77.1 57.2 71.8 Make a scatter plot of this data. Which point is an outlier? Enter as an ordered pair. For example (a,b) - with parenthesis.Find the regression equation for the data set without the outlier. Enter as an equation of the form y=a+bxy=a+bx. Rounded to three decimal places. Do not include the hat in y-hat.Find the regression equation for the data set with the outlier. Enter as an equation of the form y=a+bxy=a+bx. Rounded to three decimal places. Do not include the hat in y-hat.Is this outlier an influential point? Yes, the outlier appears to be an influential point. No, the outlier does not appear to be an influential point.Is the magnitude of an earthquake related to the depth below the surface at which the quake occurs? Let x be the magnitude of an earthquake (on the Richter scale), and let y be the depth (in kilometers) of the quake below the surface at the epicenter. x 3.4 4.7 3.3 4.5 2.6 3.2 3.4 y 5.4 10.0 11.2 10.0 7.9 3.9 5.5 (a) Make a scatter diagram of the data. Then visualize the line you think best fits the data. Use a calculator to verify that Σx = 25.1, Σx2 = 93.35, Σy = 53.9, Σy2 = 462.47 and Σxy = 199.04. Compute r. (Round your answer to four decimal places.) As x increases, does the value of r imply that y should tend to increase or decrease? Explain your answer. Given our value of r, y should tend to increase as x increases. Given our value of r, y should tend to remain constant as x increases. Given our value of r, y should tend to decrease as x increases. Given our value of r, we can not draw any conclusions for the behavior of y as x increases.
- A particular professor has noticed that the number of people, P, who complain about his attitude is dependent on the number of cups of coffee, n, he drinks. From eight days of tracking he compiled the following data: People (P) 10 11 9 8 8 6 3 3 Cups of coffee (n) 1 1 2 2 3 4 5 5 Unless otherwise stated, you can round values to two decimal places.a) Using regression to find a linear equation for P(n)P(n)=b) Interpret the meaning of the slope of your formula in the context of the problemc) Interpret the meaning of the P intercept in the context of the problemd) Use your model to predict the number of people that will complain about his attitude if he drinks 9 cups of coffee.e) Is the answer to part f reasonable? Why or why not?f) How many cups of coffee should he drink so that no one will complain about his attitude? It is ok to round to one decimal place.Here is data with y as the response variable. x y 48.2 48.5 43.2 51.4 40.4 55.1 36.8 60.9 47.5 50.9 107.5 44.9 52.5 41.2 43.9 55 1)Make a scatter plot of this data. Which point is an outlier? ____Enter as an ordered pair. For example (a,b) - with parenthesis.2)Find the regression equation for the data set without the outlier. _______ Enter as an equation of the form y=a+bxy=a+bx. Rounded to three decimal places. Do not include the hat in y-hat.3)Find the regression equation for the data set with the outlier. _____ Enter as an equation of the form y=a+bxy=a+bx. Rounded to three decimal places. Do not include the hat in y-hat.Which functions may have been used to generate the following plot and its underlying data? a) lm()b) points()c) abline()d) integrate()
- A particular professor has noticed that the number of people, P, who complain about his attitude is dependent on the number of cups of coffee, n, he drinks. From eight days of tracking he compiled the following data: People (P) 10 10 9 7 8 5 4 4 Cups of coffee (n) 1 1 2 3 3 4 5 5 Unless otherwise stated, you can round values to two decimal places.a) Using regression to find a linear equation for P(n)P(n) = b) Interpret the meaning of the slope of your formula in the context of the problemc) Interpret the meaning of the P intercept in the context of the problemd) Use your model to predict the number of people that will complain about his attitude if he drinks 8 cups of coffee.(Round to 2 decimals) e) Is the answer to part d reasonable? Why or why not?f) How many cups of coffee should he drink so that no one will complain about his attitude? It is ok to round to one decimal place.Here is data with y as the response variable. x y 15.9 20.7 9.9 -3.2 41.7 38.9 -101.4 2 34.8 34.1 25.1 7.1 19.3 8.3 24 33.8 Make a scatter plot of this data. Which point is an outlier? Enter as an ordered pair. For example (a,b) - with parenthesis.Find the regression equation for the data set without the outlier. Enter as an equation of the form y=a+bxy=a+bx. Rounded to three decimal places. Do not include the hat in y-hat. Find the regression equation for the data set with the outlier. Enter as an equation of the form y=a+bxy=a+bx. Rounded to three decimal places. Do not include the hat in y-hat.The accompanying data are the length (in centimeters) and girths (in centimeters) of 12 harbor seals. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. (a) x=140 cm (b) x=172 cm (c) x=164 cm (d) x=158 cm Length, x Girth, y136 107168 130152 115145 107159 126160 120124 103137 104154 119149 109146 106145 108 The equation of the regression line is y= ____x+________ Plot .
