t21. Out of the two regression equations given below, which one is the equation of X on Y and which one the equation of Y on X. 2X +4Y= 10 4X + 6Y = 8
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- Fourteen hikers were surveyed at Algonquin Park, and asked for how many days have you been hikingand far did your travel in that time? The equation for the linear regression line is y+3x + 10.3 where x is the number of days and y is the distance travelled. Estimate the number of whole days a hiker would need to travel 35KM? Number of days hiked 1 1 2 3 3 5 5 6 7 7 9 10 11 12 Distance Traveled (km) 12 17 18 19 21 23 25 23 30 31 37 39 41 52If X= 6 + 20Y, then as per your Regression equation analysis what is the value of a? O a. 26 O b. 20 O c. 14 O d. 6Does the regression equation Y = - 105 - 10X prove that a change in X causes a change in Y. Select one: Oa. Either A or B O b. Neither A nor B Oc. True O d. False
- Given the regression equation Y= 43- 10X, the change in Y when X changes by +5 is O a. -7 O b. +50 C. -50 O d. 43The table shows the numbers of new-vehicle sales (in thousands) in the United States for Company A and Company B for 10 years. The equation of the regression line is y = 0.991x + 1,222.81. Complete parts (a) and (b) below. D New-vehicle sales (Company A), x New-vehicle sales (Company B), y 4,149 3,923 3,566 3,400 3,266 3,076 2,868 2,485 1,952 2,066 4,912 4,871 4,827 4,721 4,672 4,474 4,684 3,822 2,956 2,754 (a) Find the coefficient of determination and interpret the result. 12²=0 (Round to three decimal places as needed.) 1The table shows the number of goals allowed and the total points earned (2 points for a win, and 1 point for an overtime or shootout loss) by 14 ice hockey teams over the course of a season. The equation of the regression line is y=−0.532x+211.813. Use the data to answer the following questions. (a) Find the coefficient of determination, r2, and interpret the result. (b) Find the standard error of the estimate, se, and interpret the result Goals Allowed, x Points, y215 112210 104217 103219 96259 85267 77281 51201 102214 99206 103216 94200 89263 70243 72
- A student used multiple regression analysis to study how family spending (y) is influenced by income (x1), family size (x2), and additions to savings (x3). The variables y, x1, and x3 are measured in thousandsof dollars. The following results were obtained shown in the image,a. Write out the estimated regression equation for the relationship between the variables. b. Compute coefficient of determination. What can you say about the strength of this relationship? c. Carry out a test to determine whether y is significantly related to the independent variables. Use a 5% level of significance and Carry out a test to see if x3 and y are significantly related. Use a 5% level of significance.If X 6 + 20Y, then as per your Regression equation analysis what is the value of a? О а. 6 ОБ. 26 O c. 14 O d. 20Regression analysis was applied between sales (y, in dollars) and advertising (x, in dollars) across all the branches of a major international corporation. The following regression function was obtained, y = 5000 + 7.25x. If the advertising budgets of two branches f corporation differ by 30,000, then what will be the predicted difference in their sales?a. 217,500b. 222,500c. 5,000d. 7.25
- The table shows the number of goals allowed and the total points earned (2 points for a win, and 1 point for an overtime or shootout loss) by 14 ice hockey teams over the course of a season. The equation of the regression line is y= - 0.558x + 216.186. Use the data to answer the following questions. (a) Find the coefficient of determination, r, and interpret the result. (b) Find the standard error of the estimate, s,, and interpret the result. Goals Allowed, x Points, y 218 212 216 220 257 266 274 200 211 206 216 204 264 244 O 111 106 99 90 86 83 45 105 100 101 94 83 67 68 (a) ? =O (Round to three decimal places as needed.)Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southem U.S. The owners would like to estimate weekly gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow. Weekly Gross Revenue Television Advertising Newspaper Advertising ($100s) Market ($100s) ($100s) Mobile 102.5 5.1 1.6 Shreveport 52.7 3.2 3.0 Jackson 75.8 4.0 1.5 Birmingham 127.8 4.3 4.0 Little Rock 137.8 3.5 4.3 Biloxi 101.4 3.6 2.3 New Orleans 237.8 5.0 8.4 Baton Rouge 219.6 6.9 5.8 (a) Use the data to develop an estimated regression equation with the amount of television advertising as the independent variable. Let x represent the amount of television advertising. If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) -43.258 O + 39.367 Test for a significant relationship between television advertising…A biologist wants to predict the height of male giraffes in feet y, given their age x1, in years, and weight, x2 in pounds. She obtains the multiple regression equation yˆ=14.56+0.00895x1+0.000426x2. Predict the height of a 12-year-old giraffe that weighs 3,100 pounds, rounding to the nearest foot. Provide your answer below: $$ feet