Example 8. Given the regression lines as 3x + 2y = 26 and 6x + y = 31. Find their point of intersection and interpret it. Also find the correlation coefficient between x and y.
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A: From excel output the regression equation can be obtained as: Thus, the equation is
Q: The table below gives the number of hours spent unsupervised each day as well as the overall grade…
A: Here the given table is Hours Unsupervised :- 0 1 3 4 5 Overall Grades :- 95 92 85 81 62 We…
Q: The table below gives the number of hours spent unsupervised each day as well as the overall grade…
A: The data values are as follow: Hours Unsupervised (x) 1 2 2.5 3.5 4 5.5 6 Overall Grades (y) 99…
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A: The regression equation is y=-56+3.6x.
Q: The table below gives the number of hours spent unsupervised each day as well as the overall grade…
A: The independent variable is Hours Unsupervised The dependent variable is Overall Grades We have to…
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A: Given Mx = 9, My = 13, SSx = 80, SSy = 90, SP = +35.
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A: y=21-8x
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A: Let the regression equation be y=mx+b where, y is the dependent variable mx is the estimated…
Q: he table below gives the number of hours spent unsupervised each day as well as the overall grade…
A: The independent variable is Hours Unsupervised. The dependent variable is Overall Grades. This is…
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Q: Use Data Set 7 found on my website for this question. Consider two models: Big and Small. Both…
A: Given Information: Consider the given dataset: Exam Tot Female Year Time H tot H4 H3 84 1 2 32…
Q: = The table below gives the number of hours spent unsupervised each day as well as the overall grade…
A: We have given that, The data set are :- Hours unsupervised (X) :- 1.5, 2, 3, 4, 5, 5.5, 6 Overall…
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A: The question is about regression.Given :Regression equation :To find :se and it's interpretation.
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Q: The table below gives the number of hours spent unsupervised each day as well as the overall grade…
A: The data set are :- X:- 0, 1, 1.5, 2.5, 4, 5.5, 6 Y:- 98, 86, 85, 83, 80, 78, 67 Then,
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Q: Consider a regression and correlation analysis where = 1. We know that, Multiple Choice SSE must be…
A: SSE must equal to zero, As given that r2 =1, The sum of squared error is zero for r2 = 1 because…
Q: A pediatrician wants to determine the relation that exists between a child's height (x) and head…
A: The data is defined below as follows: From the information, it is clear that Let X denotes the…
Q: Find the coefficient of determination and interpret the result.
A: Here dependent variable (y) = Money spent Independent variable (x) = Money raised Sample size (n) =…
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A:
Q: The table below gives the number of hours spent unsupervised each day as well as the overall grade…
A: here, data given for 7 students. Therefore, n = 7. The slope is estimated as follows:…
Q: Hours Unsupervised 0 1 3 4 5 Overall Grades 95 92 85 81 62 Table Step 6 of 6 : Find the value…
A: (X) : { 0,1,3,4,5 } (Y) : { 95,92,85,81,62 } Here : X = hours Unsupervised Y = Overall Grades…
Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…
A: Given data, X Y X*Y X*X 762 51 38862 580644 621 46 28566 385641 515 45 23175 265225 508…
Q: The table below gives the number of hours spent unsupervised each day as well as the overall grade…
A: Hours Unsupervised(x) Overall Grades(y) 1 99 2 81 2.5 73 3.5 72 4 67 5.5 65 6 63
Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…
A: Steps to construct scatter plot in Excel: Enter the data for x and y in Excel sheet>Select the…
Q: per ge The proportion of the variability in miles per gallon explained by the relation between…
A: Answer:----. Date:----12/10/2021 r = -0.984 So, r^2 = 0.968256
Q: The table below gives the number of hours spent unsupervised each day as well as the overall grade…
A: Here the given information is The table below gives the number of hours spent unsupervised each day…
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- You generate a scatter plot using Minitab. You then have Minitab plot the regression line and report the equation and the r2 value. The regression equation is reported as y=43.41x+77.98 and the r2=0.2025.What is the correlation coefficient for this data set? r =The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for five randomly selected middle school students. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Unsupervised 0 1 3 4 5 Overall Grades 95 92 85 81 62 Table Step 3 of 6 : Determine if the statement "Not all points predicted by the linear model fall on the same line" is true or false.Find the equation of the least-squares regression line ŷ and the linear correlation coefficient r for the given data. Round the constants, a, b, and r, to the nearest hundredth. {(1, 4.5), (2, 6.0), (4, 8.4), (6, 11.7), (8, 16.2)} ŷ = r =
- The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Unsupervised 0 0.5 2 3 4.5 5 6 Overall Grades 99 98 96 92 89 88 80 Table Step 6 of 6 : Find the value of the coefficient of determination. Round your answer to three decimal places.Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city. Height, x Stories, y 519 (a) x = 500 feet (c) x = 810 feet (b) x = 649 feet (d) x = 732 feet 775 619 508 491 474 36 53 47 44 43 37 Find the regression equation. y=x+ O (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OA. 60- 60- 60- 60- 800 Height (feet) 800 Height (feet) 800 Height (feet) Height (feet) (a) Predict the value of y for x = 500. Choose the correct answer below. A. 52 В. 40 C. 48 D. not meaningful (b) Predict the value of y for x = 649. Choose the correct answer below. A. 56 В. 48 O C. 40…3- Find the equation of the regression line and find the y_ value for the specified x value. Calories and Cholesterol Calories and cholesterol are as follows: Calories X 390 535 720 300 430 500 440 Cholesterol y 43 45 80 50 55 52 60 Find y-hat when x = 600 calories. LO LO
- 7. The table below shows the round-trip fare for flights from one city on major airlines. These were the lowest prices found online in early 2010. The airlines varied, but the travel dates were all the same. Determine the linear regression for the cost of a round-trip ticket given the distance traveled, use your regression to estimate the cost of a 1500-mi flight, and state the correlation coefficient, r, and describe the trend, shape, and strength for the data contained in this problem. Distance (mi.) Cost ($) 205 183 968 180 3097 598 1939 277 1976 313 1033 318 2977 448 1752 408 1143 335a tab = The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, bo + bx, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, In practice, It would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Answer How to enter your answer (opens in new window) esc Step 3 of 6: Substitute the values you found in steps 1 and 2 into the equation for the regression line to find the estimated linear model. According to this model, if the value of the independent variable is increased by one unit, then find the change in the dependent variable . Google Play Store alt 1…The equation of a regression line, unlike the correlation, depends on the units we use to measure the explanatory and response variables. Here is the data on percent body fat and preferred amount of salt. Preferred amountof salt x 0.2 0.3 0.4 0.5 0.6 0.8 1.1 Percent body fat y 21 30 23 30 39 24 31 In calculating the preferred amount of salt, the weight of the salt was in milligrams. (a) Find the equation of the regression line for predicting percent body fat from preferred amount of salt when weight is in milligrams. (Round your answers to one decimal place.) ŷ = + x (b) A mad scientist decides to measure weight in tenths of milligrams. The same data in these units are as follows. Preferred amountof salt x 2 3 4 5 6 8 11 Percent body fat y 21 30 23 30 39 24 31 Find the equation of the regression line for predicting percent body fat from preferred amount of salt when weight is in tenths of milligrams. (Round your intercept to one decimal place and your slope to two…
- Please help asapThe applet displays a scatterplot with the following points: (7,10),(27,35),(24,25),(8,12),(10,19),(15,22). Identify the slope of the regression line, intercept of the regression line, and correlation coefficient. Report your answers accurate to within two decimal places.The table below gives the number of hours spent unsupervised each day as well as the overall grade averages for seven randomly selected middle school students. Using this data, consider the equation of the regression line, yˆ=b0+b1x, for predicting the overall grade average for a middle school student based on the number of hours spent unsupervised each day. Keep in mind, the correlation coefficient may or may not be statistically significant for the data given. Remember, in practice, it would not be appropriate to use the regression line to make a prediction if the correlation coefficient is not statistically significant. Hours Unsupervised 0.5 1 2.5 3 4 5 5.5 Overall Grades 98 95 90 79 75 69 66 Step 1 of 6: Find the estimated slope. Round your answer to three decimal places. Step 2 of 6: Find the estimated y-intercept. Round your answer to three decimal places. Step 3 of 6: Determine if the statement "Not all points predicted by the linear model fall on the…