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Make a linear model for the following data
(1,13) (5,20) (9,27) (13,34)
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- The following table gives the gold medal times for every other Summer Olympics for the women’s 100-meter freestyle (swimming). a.Decide which variable should be the independent variable and which should be the dependent variable. b. Draw a scatter plot of the data. c. Does it appear from inspection that there is a relationship between the variables? Why or why not? d. Calculate the least squares line. Put the equation in the form of: ŷ = a + bx. e. Find the correlation coefficient. Is the decrease in times significant? f. Find the estimated gold medal time for 1932. Find the estimated time for 1984. g. Why are the answers from part f different from the chart values? h. Does it appear that a line is the best way to fit the data? Why or why not? i. Use the least-squares line to estimate the gold medal time for the next Summer Olympics. Do you think that your answer is reasonable? Why or why not?Use the method of least squares to determine the line that best fits the data in the following table. 9 3 6 10 12 4 3 5 11 13 6 2 4 8 10 3 4 9 13 Graph the points and said lineNeeds Complete typed solution with 100 % accuracy.
- Answer the following: 2. Describe the form, direction, and strength of the relationship between these variables. Does there appear to be any outliers? 3. The equation of least-squares regression line is y = 6.871 + 0.061x. This line goes through the points (0, 6.9) and (700, 49.5). Use these points to add the regression line to your scatterplot above. 4. One animal is farthest from the regression line and is an outlier for these two variables. Find the name of this animal and write a sentence describing how its position differs from the overall relationship among the other animals. 5. The elephant has the longest gestation period of these animals. a. Considering only the gestation variable, would you say that the elephant is an outlier? Write a sentence or two explaining why or why not? b. Considering both variables and the relationship between average life span and average gestation period, would you say the elephant is an outlier now? Write a sentence or two explaining why or why…Consider the set of points (0,9),(1,5),(6,3) and (9,2). In this set of points, the age of a dolphin is the first part of each ordered pair and the second part is the number of tricks that the dolphin learned in a month. So, the 6 year-old dolphin learned 3 tricks in the month. Write the least squares regression line for this data. Use the line to estimate how many tricks a 4 year-old dolphin could learn. Then find r and r2. Explain what r2 means.The following table was generated from the sample data of 1010 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1x1) is the number of hours unsupervised each night, and the second independent variable (x2x2) is the number of hours of video games each night. Coefficients Standard Error t-Stat p-value Intercept 57.968435 7.227955 8.020032 0.000201 Hours Unsupervised 5.131630 1.314283 3.904510 0.007943 Hours Playing Video Games 1.067855 1.615039 0.661194 0.533040 Write the multiple regression equation for the computer output given. Round your answers to three decimal places.
- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.8 8.5 7 3.3 2.5 2.8 2.2 0.6 14.2 11.6 10.3 7.1 6.4 6.7 6.2 4.8 thousands of automatic weapons = murders per 100,000 residents This data can be modeled by the linear equation ŷ = 0.84x + 4.33 a. How many murders per 100,000 residents can be expected in a state with 9.1 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents b. How many murders per 100,000 residents can be expected in a state with 4.3 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residentsA researcher has draw 3 lines to predict son's height from their father's height: the average of all son's heights; the SD line; and the regression line. Which one has the smallest r.m.s error? Pearson's data. S0 line, regression line and GoA 560 2 4 70 72 74 76 78 ao Faher height in inches Red line Another line between the red line and blue line Blue line Green line 2 99 9 209 a uogThe foreign automobile dealer sells English, French, German, Japanese and Korean automobiels. Th enumber of such automobiles sold in a month follow; Country English French German Japanese Korean Number 3. 12 20 10 In words describe what descriptive method would you use to display the data to an audience? Comment on your choice. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
- The following data give the percentage of women working in five companies in the retail and trade industry. The percentage of management jobs held by women in each company is also shown. % Working 67 45 73 54 61 % Management 50 23 63 47 34 (a) Develop a scatter diagram for these data with the percentage of women working in the company as the independent variable. A scatter diagram has 5 points plotted on it. The horizontal axis ranges from 40 to 75 and is labeled: % Working. The vertical axis ranges from 0 to 70 and is labeled: % Management. The first three points are plotted from left to right in an downward, diagonal direction starting in the upper left corner of the diagram. The fourth point extends upward in a diagonal direction to the right. The last point then extends downward from the fourth point in a diagonal direction to the right. The points are between 23 to 63 on the vertical axis. A scatter diagram has 5 points plotted on it. The horizontal axis ranges…I need help with this assaigmentThe following table was generated from the sample data of 1010 junior high students regarding the average number of hours they are unsupervised per night, the average number of hours they play video games per night, and their final grades in their math class. The dependent variable is the final grade, the first independent variable (x1x1) is the number of hours unsupervised each night, and the second independent variable (x2x2) is the number of hours of video games each night. Coefficients Standard Error t-Stat p-value Intercept 57.968435 7.227955 8.020032 0.000201 Hours Unsupervised 5.131630 1.314283 3.904510 0.007943 Hours Playing Video Games 1.067855 1.615039 0.661194 0.533040 Indicate if any of the independent variables could be eliminated at the