QUESTION 18 What can you say about the slope of the least-squares regression line in the scatterplot below? Chirps per sec 20 26- 19 18 17 E. 25 25 A. The slope is positive. B. The slope is negative. C. The slope is zero. D. The slope varies.
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- The equation of the least-squares regression line is ý = 68.5 + 11.4x, where ý is the number of students enrolled and x is number of years the school has been The number of students enrolled at a school varies from year to year. For the first eight years the school is open, the number of students enrolled is recorded in the table shown. open. Which shows the residual plot? Students 92 Year 2. 94 100 104 80 4 60 113 131 40 7. 8. 147 176 20 -20 0. 2. 4. 8. Number of Years 3. 56The results shown to the right provide the X-values, residuals, and a residual plot from a regression analysis. Is there any evidence of a pattern in the residuals? Explain. Choose the correct answer below. A. Yes, the residuals show a distinct cyclical pattern. O B. Yes, the residuals show a distinct curved pattern. C. No, the residuals appear to be randomly spread. OR Yes the residuals show decreasing variation O C X 1 234567890 10 Residuals 0.78 -0.71 1.17 -0.63 2.45 -0.77 0.27 1.64 - 1.24 1.66 Residuals 3- 2- 1- ● хол- To 10Listed below is the multiple regression equation for predicting Y by X₁ through Xs. Y is the number of sales per month. X₁ is the number of sales calls made X2 is the number of hours on the showroom floor X3 is the amount spent on radio ads X is the number of text messages sent Xs is the number of email messages sent Regression Statistics R Square 0.634 Standard Error 7.6796 Observations 45 Intercept X₁ X₂ X3 XA Xs Coefficients Standard Error 6.8163 0.1005 -0.3207 0.2084 0.1221 0.0943 77.1211 1.9439 -11.123 0.1144 11.34 1.23 What is the computed value of the F statistic you would use to test the significance of the entire model? Round your answer to two decimal places.
- answer this. not gradedpediatrician wants to determine the relation that exists between a child's height, x, and head circur nd head circumferences and obtains the accompanying data. Complete parts (a) through (e). Data Table A Click the icon to view the data table. Round to four decimal places as needed.) Full data set B Нead Head (b) Use the regression equation to predict the head circumference of a child who is 25 inches tall. Height, x circumference, Height, x circumference, (inches) (inches) y (inches) y (inches) The predicted value of the head circumference of a child who is 25 inches tall is 17.05 inches. (Round to two decimal places as needed.) 27.75 17.7 26.5 17.3 24.5 17.1 27 175 25.5 17.1 26.75 17.3 (c) Compute the residual based on the observed head circumference of the 25-inch-tall child in the t 26 26.75 17.5 17.3 25 16.9 27.5 17.5 The residual based on the observed head circumference of the 25-inch-tall child is inches. 27.75 17.6 (Round to two decimal places as needed.) Print Done Enter your…The percentage of the variation in the value of y this is explained by the lease squares regression line is Group of answer choices ρ the slope of the regression line. the correlation coefficient. the coefficient of determination. the y-intercept of the regression line. The data below shows the summary statistics for a regression analysis on car weight (in metric tons) and fuel consumption (in miles per gallon). b0=48.8b0=48.8 b1=−8.37b1=−8.37 r2=0.36r2=0.36 (Note that 0.362=0.13 and 0.36−−−−√=0.6)(Note that 0.362=0.13 and 0.36=0.6) Choose the correct interpretation of the y-intercept of the line:
- A simple regression model for 10 pair of data resulted in a standard error of 3.95 (i.e., Se = 3.95), and the. The sum of squares of error (SSE) is ______. a. 187.23 b. 171.63 c. 156.03 d. 140.42 e. 124.82Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the-high temperature. Based on the data shown below, calculate the regression line (each value to two decimal places). y D 2. 19.44 3. 19.8 4 16.96 16.42 6. 14.78 7 14.94 8. 12.5Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. Assume that temperature is independent each year. Based on the data shown below, calculate the regression line (each value to two decimal places). First the slope and then the y-intercept. Y X 3 4 5 67 8 00 a 9 y 10.14 10.85 11.86 11.17 7.58 9.79 7.5 x+
- Use the data in the table below to complete parts (a) through (d). 39 33 40 47 42 50 59 56 51 24 22 27 32 30 31 31 27 29 Click the icon to view details on how to construct and interpret residual plots. (a) Find the equation of the regression line. (Round to three decimal places as needed.) (b) Construct a scatter plot of the data and draw the regression line. Plot the x-values on the horizontal axis and the y-values on the vertical axis. Choose the correct graph below. OA. В. Oc. OD. 34 70, (c) Construct a residual plot. Plot the x-values on the horizontal axis and the residuals on the vertical axis. Choose the correct graph below. O A. Ов. Oc. OD. (d) Determine if there are any patterns in the residual plot and explain what they suggest about the relationship between the variables. The residual plot a pattern because the residuals about 0. This implies the regression line a good representation of the relationship between the variables.Cost Number 85 4 2 10 52 55 68 67 86 83 73 13. What is the value of the pearson.coefficient? 14. What is the slope of the regression line? 15. Which of the following is estimated number of products sold when the cost of the advertisement is 12,000 dallars A. 89250 B. 33517 C. 4283 D. 15In bivariate regression, the value of Y when X equals 0 is: Group of answer choices Intercept (b0) Residual Slope (b1)