Transcribed Image Text:31 The two regression lines are given by 3x + 2 y 7x + 5 y = 12 (i) Estimate y when x = 10 (ii) Calculate the correlation coefficient value between x and y (iii) What percentage of total variation remains unexplained by the regression Equation of y on x. = 6 and %3D re Q: if the total sum of squares of y is 32, the sum of squares of the regression line with respect to… A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will… Q: If the R-squared for a regression model relating the outcome y to an explanatory variable x is 0.9.… A: No, You can not just directly say that it will be positively correlated it might possible that they… Q: 31 The two regression lines are given by 3x + 2 y 7x + 5 y = 12 (i) Estimate (ii) Calculate the… A: Click to see the answer Q: If the estimated intercept of the regression equation is negative, we can say the estimated… A: Let the regression equation is y= ax + b where y is dependent variable and x is independent… Q: 2. For a linear regression model including only an intercept, the OLS estimator of that intercept is… A: We have given that For a linear regression model including only an intercept, the OLS estimator of… Q: Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs of people, the… A: Click to see the answer Q: PLease help! A: Given strong positive correlation between number of hours of binge watching Sesame street (X) and… Q: Along with the slope and the intercept, compute the standard erron of the estimate and the… A: The slope and intercept are calculated below: Excel Procedure: Enter X and Y in Excel Go to Data… Q: Suppose that you run a correlation and find the correlation coefficient is 0.512 and the regression… A: Click to see the answer Q: In the equation, Y’ = b0 + bxX, b0 represents the: Group of answer choices correlation between X and… A: Click to see the answer Q: The table lists the average monthly cost to workers for family health insurance for various years.… A: Given Data : X = Year Y = Average Monthly cost 0 296 1 338 2 350 3 363 4 382 5 405… Q: If the correlation coefficient is negative, this means the slope of the regression line is… A: Correlation coefficient shows the degree of relationship between two variables . If the correlation… Q: Šuppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the… A: The correlation coefficient is 0.877 and the regression line is y=20.45+0.81x. Q: The table lists the average monthly cost to workers for family health insurance for various years.… A: NOTE: As per the guidelines, we are allowed to answer 1 question only. I am solving the question in… Q: The fish in my pond have mean length of 10.78 inches and mean weight 4.27 pounds. The correlation… A: the regression equation of y on x is given as : y^ - y¯ = byx (x - x¯) let us assume: y: the… Q: There exists a moderate relationship between the variables x and y.if we draw samples of… A: Moderate relationship between the variables x and y means that the correlation is between… Q: A study was done to determine the relationship between the alcohol content of beer, and the amount… A: Given: n=9 α=0.05 Q: A researcher found a linear correlation between course grades and the average number of hours spent… A: Solution: The line of best fit is y^=3.7-0.786×x Where y = Course grades and x = average number of… Q: The correlation between two variables x and y is –0.6. If we used a regression line to predict y… A: Click to see the answer Q: Suppose the entering freshmen at a certain college have a mean combined SAT score of 1231 with a… A: Click to see the answer Q: When is the coefficient of certainty obtained from the regression equation equal to the square of… A: Regression equation gives the relation between the response variable and the explanatory… Q: Sir Francis Galton, in the late 1800s, was the first to introduce the statistical concepts of… A: Solution: The correlation coefficient can be calculated by using the following formula: Q: A fourth order regression model was built for a total of 45 students' grades in the numerical class.… A: From the given information, Total observation (n) =45 Standard error of the estimate (SSE) =0.438… Q: The fish in my pond have mean length 10 inches with a standard deviation of 2 inches and mean weight… A: Let X be the length of the fish in inches and Y be the weight of the fish in pounds From the given… Q: The fish in my pond have mean length 10 inches with a standard deviation of 2 inches and mean weight… A: Click to see the answer Q: How would you create a predictive model of y given x, where x is between 0 and 10, is continuous and… A: *Answer: Q: If the coefficient of determination is calculated as 0.48 and regression equation y = 2.4 – 3.5x,… A: Click to see the answer Q: i) Express the relationship between the exhausted age and dry matter level with the regression… A: X (Age) Y (Dry matter) (x-xbar) (x-xbar)^2 (y-ybar) (y-ybar)^2 (x-xbar)*(y-ybar) 4 24 -7 49 -17.25… Q: The least-squares regression equation is y=728.0x+14,705 where y is the median income and x is the… A: From the given information, the regression equation is y=728.0x+14,705.Here, y represents the median… Q: A set of n = 25 pairs of X and Y values has a correlation of r = -0.50 with SSX = 38 and SSY = 14.… A: Given, n = 25 r = -0.50 SSX = 38 SSY = 14 Q: A sample of 70mwomen is obtained, and their heights (in inches) and pulse rates (in beats per… A: Solution: From the given information, the equation of the regression line is Q: Suppose that you are estimating the simple regression model Y; = B1 + B2X; + ui, and in your sample,… A: Click to see the answer Q: To estimate the value of a dependent variable based on the values of one or more independent… A: Solution-: To estimate the value of a dependent variable based on the value of one or more… Q: The fish in my pond have mean length 14 inches with a standard deviation of 2 inches and mean weight… A: In this case, weight is the dependent variable (y) and length is the independent variable (x). Q: The least-squares regression equation is y=647.8x+17,858 where y is the median income and x is the… A: The regression equation is given, y= 647.8 x+17,858 y=median income x=the percentage of 25 years… Q: The table below gives the number of hours spent unsupervised each day as well as the overall grade… A: Click to see the answer Q: Suppose there is 1 dependent variable (dissolved oxygen, Y) and 3 independent variables (water temp… A: Here second statement is false statement in the multiple regression model. If a predictor is having… Q: There is a dataset of size n = 51 and is for the 50 states and the District of Columbia in the… A: Click to see the answer Q: The table below gives the number of hours spent unsupervised each day as well as the overall grade… A: It is given that the predicting the overall grade average(y) for a middle school student based on… Q: Suppose there is a significant correlation between variables. describe 2 instances in which it… A: Given: The material of choice for the microelectronics applications includes the single crystal… Q: Calculate the Pearson correlation coefficient between the two variables, to two decimal places.… A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for… How do you find the regression line X on Y and Y on X?If Y depends on X then the regression line is Y on X. Y is dependent variable and X is independent variable. If X depends on Y, then regression line is X on Y and X is dependent variable and Y is independent variable. The regression equation Y on X is Y = a + bx, is used to estimate value of Y when X is known.
How do you find a two regression equation?How to Find Regression Coefficients?. To find the coefficient of X use the formula a = n(∑xy)−(∑x)(∑y)n(∑x2)−(∑x)2 n ( ∑ x y ) − ( ∑ x ) ( ∑ y ) n ( ∑ x 2 ) − ( ∑ x ) 2 .. To find the constant term the formula is b = (∑y)(∑x2)−(∑x)(∑xy)n(∑x2)−(∑x)2 ( ∑ y ) ( ∑ x 2 ) − ( ∑ x ) ( ∑ x y ) n ( ∑ x 2 ) − ( ∑ x ) 2 .. |