Q: Find the regression line of the points: (12.7, 18.7), (9.1, 17.2), (15.3, 14.5), (19.5, 12.9)
A:
Q: The line of best fit through a set of data is y=-39.761 +3.894x According to this equation, what is…
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Q: What is the estimated slope?
A: Given:
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A: * Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts…
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Q: What is meant by the line of best fit?
A: LINE OF BEST FIT IS WHEN THE SUM OF SQUARE OF RESIDUAL IS MINIMUM.
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How do I draw two straight lines for the appropriate data points and get the point of intersect?
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- The line of best fit through a set of data is y=29.267+0.881xAccording to this equation, what is the predicted value of the dependent variable when the independent variable has value 60?y =(b) Below is the box-and-whisker plot of data from a survey of 20 nurses at Center Hospital. 610 20 30 40 50 Compare this plot with the one in part (a). Discuss the locations of the medians, the locations of the middle halves of the data banks, and the distances from Q, and Q3 to the extreme values. nurses. The interquartile range is --Select--- nurses. Qis -Select-the minimum for clerical staff compared to The -Select- that of nurses. Q3 is Select the maximum for clerical staff compared to that of nurses.Janet is studying the relationship between the average number of minutes spent exercising per day and math test scores and has collected the data shown in the table. The line of best fit for the data is yˆ=0.46x+66.4. Minutes 15,20,25,30 Test Score 73,76,78, 80 (a) According to the line of best fit, the predicted test score for someone who spent 23 minutes exercising is 76.98. (b) Is it reasonable to use this line of best fit to make the above prediction? Select the correct answer below: 1.The estimate, a predicted test score of 76.98, is reliable and reasonable. 2. The estimate, a predicted test score of 76.98, is unreliable but reasonable. 3. The estimate, a predicted test score of 76.98, is unreliable and unreasonable. 4. The estimate, a predicted test score of 76.98, is reliable but unreasonable.
- Williams vs Texas Here are the average weights of thefootball team for the University of Texas for variousyears in the 20th century.a) Fit a straight line to the relationship of Weight by Yearfor Texas football players.b) According to these models, in what year will thepredicted weight of the Williams College team fromExercise 36 first be more than the weight of theUniversity of Texas team?c) Do you believe this? Explain. Year 1905 1919 1932 1945 1955 1965Weight (lb) 164 163 181 192 195 199In a certain country, total alcoholic beverage sales are reported throughout the year. Sales were reported as $118.5 billion at the beginning of 2004 and $136.2 billion at the beginning of 2006. (a) Let the x-axis denote time and the y-axis denote the amount of alcohol sales (in billions), Let x = 0 correspond to 2004. Fill in the blanks: The given data is represented by the points ( 118.5) and (2, ). (b) Find the linear equation determined by the two points in part (a). (c) Use the equation in part (b) to estimate the alcohol sales produced in 2005. (d) If the model remains accurate, in what year will reported alcohol sales reach $150 billion? (a) The given data is represented by the points (,118.5) and (2,). (Type integers decimals rounded to one decimal place.) (b) The linear equation determined by the two points in part (a) is y =x+. (Type integers or decimals rounded to one decimal place.) (c) The alcohol sales produced in 2005 are approximately $ billion. (Type an integer or…What is the linear pattern of 4500 students in 2014 and 3700 students in 2019
- Several states have argued that the 65-mph speed limit has no justification and have refused to enforce it. The federal Department of Transportation (DOT) believes that the 65-mph limit saves lives. To illustrate its contention, the department regressed the number of traffic fatalities (Y) last year in a state on the state’s population (X1), the number of days of snow cover (X2), and the average speed of all cars (X3). The results are shown below. From the results shown above, write the regression equation. What proportion of variation in the number of traffic fatalities can be explained by the regression model?Doctors wanted to better understand the association between exercise and blood sugar levels. They had 100 participants run on a treadmill for anywhere from 0 to 60 minutes and then had their blood sugar levels checked. The level of sugar in the blood was measured in milligrams of sugar (mg) per deciliter of blood (dL). The results are shown below along with the line of best fit with its equation. 100 Which equation below defines the line of best line drawn on the graph? 90 A) y = 0.5x + 92 80- B) y = -60x + 100 C) y = 60x- 100 70- D) y = -0.5x + 92 60 10 20 30 40 50 60 Time on Treadmill (minutes) Blood Sugar Level (mg/dL)Below is a scatterplot of a student’s SAT score and their college GPA. Suppose we want to decide if a student’s SAT score and their GPA are linearly related. What does this scatterplot tell us of the relationship? Support your answer. SAT score_GPA scatterplot.pdf
- Which equation is the best fit for the data in the table? X Y 3 12 5 27 8 48 11 O y=-.0026x^2+.33x+1.16 O y=1.94x+2.140 O y=1.732vx-1 O y=1.732x-1Sometimes we have data that can be paired together, such as height and weight of an individual. When two variables are measured and paired together, we have what we call paired data. When we have paired data, we can plot the results using a scatterplot. This will give us a visual to determine if there is a relationship between the variables of interest. For two variable relationships, we can often report the data as ordered pairs in (x, y) format. Our x-variable in this case is known as the explanatory variable, and the y-variable is known as the response variable. We use values of x to predict y. If there appears to be a linear relationship between the two variables, we can create a least squares regression line. This is a line that “best” fits the dataset we have. The result will be a linear equation and we can use this equation to predict future values. For simple linear regression (ordered pairs with only two variables), the general form of a regression line follows:�̂=β0+β1�,…Please complete the rest of these questions thank you! The given scatter plot shows age versus test score data for a testof video game skills: d) Use your equation to predict the test score for a60 year-old test-taker.e) Estimate the value of the linear correlationcoefficient for your line. Explain your reasoning.
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