Find the slope (b1) for the regression equation for the following values. Round to 3 decimal places. Define Variables xi yi 33 180 25 170 50 200 65 180 57 160 27 165
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Find the slope (b1) for the regression equation for the following values. Round to 3 decimal places.
Define Variables
| xi | yi |
|---|---|
| 33 | 180 |
|
25 |
170 |
| 50 | 200 |
| 65 | 180 |
| 57 | 160 |
| 27 | 165 |
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- The following table gives the data for the grades on the midterm exam and the grades on the final exam. Determine the equation of the regression line, y = bo + b₁x. Round the slope and y-intercept to the nearest thousandth. Grades on Midterm and Final Exams Grades on Midterm 78 70 84 97 82 75 75 88 67 76 89 79 88 100 Grades on Final 71 80 77 77 72 65A researcher is interested in seeing if there is a relationship the amount of time in minutes a person spends in their car during the day and the number of minutes that person spends listening to music. Car Time 63 14 241 93 140 3 91 45 22 Music Time 73 16 260 142 206 31 78 47 29 a. Find the equation of the regression line and use it to make a prediction of the dollars purchased by someone who visits the website 4 times.b. Interpret the slope in the context of the problem.c. Interpret the y-intercept in the context of the problem or state why it is not applicable.d. State the null and alternative hypotheses for the hypothesis test of correlation e. Find the pvalue and state your conclusion in the context of the study.A researcher wanted to predict the sodium content (in milligrams) of beef hot dogs by looking at the calorie content. His findings from a sample of 10 beef hot dogs are summarized below. The regression equation for his data is ŷ= -299.48 + 4.35 x Calories 186 181 176 149 184 190 158 139 175 148 Sodium 495 477 425 322 482 587 370 322 479 375 Interpret the slope in terms of this problem. If appropriate, find the sodium content if the calorie content is 170. If not, why? If appropriate, find the sodium content if the calorie content is 136. If not, why?
- The file Galton on D2L contains the 928 observations Francis Galton used in 1885 to estimate the relationship between the heights of parents and the heights of their children. The column Children refers to the height (in inches) of a child, and the column Mid-Parents refers to the average height (in inches) of the mother and father of that child. You can download this file into Excel and Minitab. a. Calculate the regression Height of Children = a +b (Height of Mid-Parents). b. Calculate the average for Height of Children, and calculate the average Height of Mid-Parents. c. Create a new variable in Minitab which is the Height of Children measured in terms of deviations from its mean. Call this new variable y. Also, create a new variable in Minitab with is the Height of Mid-Parents measured in terms of deviations from its mean. Call this new variable x. Calculate the regression y = a + bx. You can create the new y and x variables in Excel of Minitab, whichever you find more convenient.…2. The table below lists the annual land-line phone cost per costumer: Year 2012 2013 2014 2015 Cost ($) a. 692 610 Find a linear regression model for this data b. Interpret the slope of the model 580 C. Predict the annual land-line phone cost per customer in 2022 495 2016 434b. Find the equation of the regression line for the minutes the actor appeared shirtless in a film and the film's opening weekend gross. y = ___x + ____(Round to two decimal places as needed)
- Use linear regression on your calculator to find the equation of the linear function that best fits this data. 1 3 4 5 6 y 84 110 139 170 180 222 = mx + b. Round all numbers to 2 decimal Hint: Write your final answer as an equation in the form y places.Use linear regression to find the equation for the linear function that best fits this data. Round both numbers to two decimal places. Write your final answer in a form of an equation y= mx +b X y 1 92 2 110 4 5 3 139 160 171 6 196Given the data points listed below, use linear regression to find the expression y = %3D mx + b. List the slope of the best-fit line in the box below (round to one digit past the decimal point). y 2 2 3 15 5 14 8 55 |13 68 15 121
- In order for applicants to work for the foreign-service department, they must take a test in the language of the country where they plan to work. The data below shows the relationship between the number of years that applicants have studied a particular language and the grades they received on the proficiency exam. Find the equation of the regression line for the given data. Number of years, x 4 4 3 6 2 7 3 Grades on test, y 61 68 75 82 73 90 58 93 72 滷 O A. =6.910x+46.261 O B. y = 46.261x+6.910 OC. v=6.910x-46.261 OD. O D. y = 46.261x -6.910 Fi St 5e AssigThe table shows the approximate chirping rate at various temperatures for one type of cricket. Use the linear regression feature on a graphing calculator to determine an equation of the line that best fits the data. Round to the hundredths. ⒸEncikAn/Shutterstock.com X Temperature (°F) 50 60 70 80 100 Chirps per Minute 20 80 115 150 250A table of data points is given below. a. Find the regression equation for the data points. Use the formulas Sxx=∑ xi−x2 and Sxy=∑ xi−x yi−y to obtain Sxx and Sxy. b. Graph the regression equation and data points. x 1 2 3 y 6 5 10 a. The regression equation is y= + () x. (Simplify your answers. Type integers or decimals. Do not round.)
