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- R2 represents the proportion of the variance of the error term that is explained by the independent variable. True/FalseThe data indicate the number of wins and the number of goals scored for teams in the National Hockey League after the first month of the season. No. of wins, x B 5 6 9 10 0.885 Part: 0/3 9 Part 1 of 3 5 3 No. of goals, y 10 16 20 23 28 21 11 12 No. of wins, x 11 7 13 5 7 No. of goals, y 20 11 10 20 29 12 17 (a) Find the equation of regression line and draw the line on the scatter plot, but only if r is significant. Round the slope and y-intercept to four decimal places, if necessary. r (Choose one) significant at the 5% level. XQuestion in statistics: Topic regression: For 100 students of a class, the regression equation of marks in Statistics (X) on the marks in Commerce (Y) is 3Y 5X + 180 = 0. The mean marks in %3D Commerce is 50 and variance of marks in Statistics is 4/9th of the variance of marks in Commerce. Find the mean marks in Statistics and the coefficient of correlation between marks in the two subjects.
- JUST ANSWER THE LETTER D AND E A Zumba instructor remembers the data given in the following table, which shows the recommended maximum exercise heart rates for individuals of the given ages. Age (x years) 20 40 60 Maximum heart rate 170 153 136 (y beats per minute) a. Find the linear correlation coefficient for the data. b. What is the significance of the value found in part a? c. Find the equation of the least-squares line. d. Use the equation from part c to predict the maximum exercise heart rate for a person who is 72. e. Is the procedure in part d an example of interpolation or extrapolation?The coefficient of determination (r2) is a measure of the: a.) amount of variance in the dependent variable explained by the independent variable. b.) correlation between two variables. c.) variability of the dependent measure. d.) slope of a regression line.James Trucking is studying the relationship between the distance a shipment must travel and the length of time, in days, it takes the shipment to arrive at its destination. To investigate, Mr. James, the manager of the company selected a random sample of 20 shipments made last month. Shipping distance is the independent variable, and shipping time is the dependent variable. The results are as follows: Shipment Distance (miles) Shipping Time (days) 1 656 5 2 853 14 3 646 6 4 783 11 5 610 8 6 841 10 7 785 9 8 639 9 9 762 10 10 762 9 11 862 7 12 679 5 13 835 13 14 607 3 15 665 8 16 647 7 17 685 10 18 720 8 19 652 6 20 828 10 Is the relationship between shipping distance and shipping time significant, if the level of significance is 5%? What is the standard error? The standard error is ; The relationship between…
- A local mechanic keeps track of the number of customers each day, x, and the revenue for that day, y. He hired a data analyst to make a model for the data. The analyst gave him the table below that shows the number of customers and the predicted revenue. Suppose the mechanic had a day with 10 customers and a revenue of $1243. What is the residual? 5. 620 6 702 7 784 8. 866 9. 948 10 1030 11 1112 12 1194 13 1276 4:49 PM 5/12/2021 PrtScn F8 PgUp F11 DII Home End F9 F10 F12 F3 F4 F5 F6 F7 * 4 7 8 9.L4Q6.What correlation can be observed between x and y in the given figure?R2 represents the proportion of the variance of the error term that is explained by the independent variable. True/ False
