Question 10 X 3 5 8 9 10 11 12 14 10 10 20 20 25 20 25 25 a) What is the equation for the line of best fit? b) Draw the line of best fit on the following scatterplot. 30 25 20 15 10 X -2 -1 2 4 5 7 8 9 10 11 12 13 14 15 10 Clear All Draw: Line Submit QuestionQuestion 11 You are researching the growth of a species of fish. You gather a sample of fish and record the age in weeks of each fish and its mass in grams. The data is displayed on the grid below with the blue points. Age of fish (weeks) 4 8 12 16 24 32 36 44 Mass of fish (8) 100 200 450 100 700 800 950 1000 You construct a linear model for the data, and your equation is y = 24.31x + 2.78 where y is the mass in grams of the fish and r is the age in weeks. a) Use the equation to identify the slope of the linear model. In the context of this problem what does the slope represent? [This box will not be graded but answers will be reviewed by your teacher.] b) Use the equation to identify the y-intercept of the linear model. In the context of this problem what does the y-intercept represent? [This box will not be graded but answers will be reviewed by your teacher. ] Question Help: Video Submit QuestionI Question 12 1" Using your favorite statistics software packageJ you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y = 53.93:: + Bl and the 1' = UE. What proportion of the variation in _I..r can be explained by the variation in the values of I? ll! ."C r1=| Report answer as a percentage accurate to one decimal place. Question 13 Using your favorite statistics software package, you generate a scatter plot with a regression equation and correlation coefficient. The regression equation is reported as y = - 21.18x + 41.88 and the r = - 0.95. What percentage of the variation in y can be explained by the variation in the values of x? 12 = % (Report exact answer, and do not enter the % sign) Submit Question. Question 14 The correlation coefficient, r, is a. number between '1: and 00 C m and on '1': -1 and I (3 and 100 '13 -1|E| and 10 C G and 10 C U and 1 I Question T v If the correlation coefficient is negative, this means ".L the slope of the regression line is negative there is a strong correlation between the variabLes C the calcuLation was clone wrong '5: the regression line can be used for prediction (.3 there is no correLation between the variables the test statistic, t, can not be caLculatecI . Question 8 Choose the most appropriate completion of the sentence. In order to indicate a strong correlation between variables, the correlation coefficient will be O near -1 O near 0 O near 1 O near -1 or 1 O near 10 O near 1/2 Submit Question. Question 9 The time spent studying for a test and the test scores are graphed below along with the best-fit line. @ = 1.04 1+ 38.4 -100+ 90 80 Exam score, e ]points) 70 60 10 20 30 40 50 60 50 Study Time, t [ minutes) a What score does the equation e = 1.04t + 38.4, predict for a student who studies for 37 minutes. Round your answer to the nearest whole number score. Select an answer v Using subtraction, find the vertical distance (error) between the point (38, 88) and the line. Submit QuestionThe table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in my. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries. Vitamin C grams content in mg 55 11.8 70 18.7 85 24.7 100 32.6 115 39.1 130 46.4 145 51.7 A) Find the regression equation: y = Round your answers to 3 decimal places B) Answer the following questions using your un-rounded regression equation. If we test 175 grams of raspberries what is the expected Vitamin C content? my (round to the nearest tenth) Question Help: Video Submit