Example Find the regression equation Y on X for the following data. X: 2 4 6. 8 Y: 15 20 25
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- 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 number of hours 6 students spent for a test and t Hours spent studying, x 1 1 3 4 4 6 (a) x=2 hours (b) x=3.5 hours Test score, y 40 45 51 48 61 73 (c) x=12 hours (d) x=1.5 heir scores on that test are shown below.For the following data: X Y 7 16 5 2 6 1 3 2 4 9 Find the regression equation for predicting Y from X. Use the regression equation to find a predicted Y for each X.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 number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x 1 2 2 4 5 5 Test score, y 39 45 50 49 63 73 (a) x=2hours (b) x=2.5hours (c) x=14hours (d) x=3.5hours Find the regression equation. y=______ x+__________ (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
- Find the regression equation, letting the first variable be the independent variable x.Round to 3 places if necessary. Chest size 40 45 34 31 50 29 37 38 Weight 292 163 208 313 250 289 199 337 y = ? +? xUse the given data to find the equation of the regression line.X 3 5 7 15 16y 8 11 7 14 20When additional independent variables are added to a simple linear regression, the coefficient of determination, R2 may __________. become negative decrease or stay the same stay the same increase or stay the same
- With the following data find the regression equation for the prediction of college GPA by the number of courses a student takes per semester. Number of course credits College GPA 6 3.2 5 3.6 9 3 12 2.7 18 2.5Find 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 number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x 0 Test score, y 38 Find the regression equation. 2 3 3 4 6 45 50 49 61 68 0 (a) x = 2 hours (c) x = 15 hours (b)x=4.5 hours (d) x=2.5 hours y = X + (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)esc You may need to use the appropriate technology to answer this question. The following is part of the results of a regression analysis involving sales (y in millions of dollars), advertising expenditures (x, in thousands of dollars), and number of salespeople (x₂) for a corporation. The regression was performed on a sample of 10 observations. f1 Constant ? Ho X1 H x2 (a) Write the regression equation. ŷ = Coefficients -11.320 0.788 0.151 12 (b) Interpret the coefficients of the estimated regression equation found in part (a). (Give your answers in dollars.) As advertising increases by 1 unit ($1,000), sales are expected to increase by $ increase by $ when advertising is held constant. Standard Error (c) At a = 0.05, test for the significance of the coefficient of advertising. State the null and alternative hypotheses. (Enter != for # as needed.) 20.452 0.302 0.218 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to…
- Suppose Ms. Carr is interested in the relationship between her students' 9th grade math final exam scores and the number of hours they spent studying during the year. She collects information for 15 ninth grade students and uses it to obtain the regression equation, where ?x is the number of hours spent studying during the year and ?̂ is the predicted final exam score. ?̂ =1.48?+75.64 The scatter plot displays her results. What is the predicted ?̂ value when a student spends 13 hours studying? Round your answer to one decimal place. Select the correct interpretation. The above predicted value of ?̂ is the predicted final math test score if a student studies 13 hours during the year. the predicted score of 13 out of 15 students. what any student will score on the final exam if they study at least 13 hours. the math final test score that 13 students beat.esc The following estimated regression equation has been proposed to predict sales at a fast food outlet. ŷ = 51 - 5x₁ + 25x₂ + 12x3 where f1 1 Predict sales (in dollars) for the store with the competitor's previous day's sale of $6,000, a population of 29,000 within 1 mile, and five radio advertisements. $758 X ? x₁ = competitor's previous day's sales (in $1,000s) X1 Need Help? Read It Q x₂ = population within 1 mile (in 1,000s) X3 = 1 if radio advertising was used; 0 otherwise ý = estimated sales (in $1,000s) @ f2 2 * W f3 # * 3 E f4 ***** A $ 4 R f5 40 do O 5 f6 T 4- A 6 f7 ♫+ Y C & 7 fg KAA U * fg 8 hp DII f10 o DDI 9 f11 O f12. insert P prt sc + [ } K ] delete backspaEQuestion Help 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 number of hours 6 students spent for a test and their scores on that test are shown below. Hours spent studying, x IA Test score,y 3 (a) x=2 hours (c) x= 12 hours (b) x = 25 hours (d) x= 4.5 hours 38 44 50 47 61 68 Find the regression equation. y = 6.269 x+ (32.48) (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OD. OB. OC. O A. 80- 80- 80 80-4 0-+ Hours studying Hours studying Hours studying Hours studying 10 18 PM (E) More 10/3/2020 Click to select your answer(s)
