Compute the least squares regression line
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A: Given Data :
Advertising share x and market share y fir a particular brand of cigarettes were sampled at ten randomly selected year. Summary information is:
n = 10, Ex = .688, Ex2 = .050072, Ey =.835, Ey2 = 0.079491, Exy = .060861
a) Compute the least squares regression line
b) Find the coefficient of determination r2 and explain what it means in the context of this problem.
c) Compute a 90% prediction interval for market share when advertising share is .07(7%)
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- 2. An article in the Tappi Journal (March, 1986) presented data on green liquor Na2S concentration (in grams per liter) and paper machine production (in tons per day). The data (read from a graph) are shown as follows: (a) Fit a simple linear regression model with y green liquor Na2S concentration and x production. Draw a scatter diagram of the data and the resulting least squares fitted model.(b) Find the fitted value of y corresponding to x = 910 and the associated residual.The student is constructing a confidence interval for the slope of the least-squares regression line. Are the conditions for constructing this interval met? A student is investigating the flight distance and airfare from Boston to several travel destinations. The cities were selected at random from a list of large cities. The scatterplot of airfare vs. flight distance, the residual plot of residual vs. flight distance, and the histogram of the residual values are shown. Image 1: Attached Image 2: Attached Image 3: A histogram of residuals has residual on the x-axis, and frequency of residual on the y-axis. Negative 80, 1; negative 60, 1; negative 20, 1; 0, 4; 20, 3; 40, 1; 60, 1. A. No, the observations are not independent of one another B. No, the association between distance and airfare is not linear. C. No, the distribution of residual values is not approximately Normal. D. No, the variability in the residuals is not roughly consistent throughout the residual plot. E. Yes,…Test interviews of two personnel evaluation techniques are available, the first requires a two-hour test interview while the second can be completed in less than an hour. The table below is the output of the regression analysis of the 15 individuals who took both tests: a.Using the method of least squares, the estimated regression will be? b.Suppose you must test the hypothesis at 5% significance level that versus using t-test. The value of J will be?
- A manager at the Camden Walmart is interested in learning more about the relationship between the number of customers in a checkout line and the total time it takes to check out. She selects a random sample of 11 customers and measured the number of customers who were in front of the selected customer in line and the time until that customer had finished checking out. An analysis of the data is provided below. Identify and interpret the y-intercept of the least squares regression line in context. Identify the coefficient of determination, r2. Interpret it in context. One of the data points appears to be an outlier. Describe this point and explain why it is considered an outlier.A manager at the Camden Walmart is interested in learning more about the relationship between the number of customers in a checkout line and the total time it takes to check out. She selected a random sample of 11 customers and measured the number of customers who were in front of the selected customer in line and the time until that customer had finished checking out. An analysis of the data is provided below. 1. Identify and interpret the y-intercept of the least squares regression line in context. 2. Identify the coefficient of determination, r2. Interpret it in context. 3. One of the data points appears to be an outlier. Describe this point and explain why it is considered an outlier.Age x and resting heart rate y were sampled for 25 randomly selected children from age 2 to 9. Summary information is: n = 25, Σx = 140.5, Σx2 = 903.75, Σy = 2567, Σy2 = 264, 457, Σxy = 14, 171.5 (a) Compute the linear correlation coefficient and interpret what it means in the context of the problem. (b) Compute the least squares regression line. (c) Predict the resting heart rate for a child age 5.
