Please help me with this math question?
Recently, research efforts have focused on the problem of predicting Manufacturer market share by providing information on the quality of your product. Suppose that the next time th is available in the market share in percent (Y), and product quality on a scale from 0 to 1000, determined by an external evaluation procedure (X) (X) 27 39 73 66 33 43 47 55 60 68 70 75 82 (Y) March 2, 1910 9 4 6 5 8 7 9 10 13 12 1) Is there a correlation between the amount of Maret and product quality rating? 2) estimate the simple linear regression relationship between market share and valuation of product quality by determining the equation of the line of best fit. What are the variables in the equation. 3) Estimation of the slope and intercept of the line of best fit, and explain its meaning in terms of percentage of market share and valuation product quality. 4) Estimate the product quality rating for a product that has 11% share of market for this type of product. Is this a good quality product?
I think the purpose of this exercise is for you to actually see these points plotted on a graphing calculator or on a sheet of paper. If you have a calculator graph, there should be a menu or an option to input the "x" and "y" values and marked on the chart. If you do not have a calculator diagram, we can plot these by hand on a sheet of paper. Remember that the x-axis is the horizontal line and the Y axis is the vertical line. So to draw the first point, it begins at the origin (the point zero in the X and Y axes meet) and go right and up to 27 spaces for 2 people. For the second point, he had to go right up to 39 and 3 and so on until all points are plotted. When finished, you should see that there is a trend or correlation. So for question 1, yes, there a positive correlation. As the market share goes up, quality assessment rises. For question 2, it is necessary to estimate a little. Make something clear (as dry spaghetti) and try to place so that most points are as close to the line as possible. Now you have to pick two points that are closest to be in line as possible. When I look at all the track points, it seems that the points (27.2) and (70.10) are very close. Determine the equation of the straight best fit goes hand in hand with the answer to question 3. Its equation is going to be in the form y = mx + b. "M" is the slope and "b" is the intersection. Determine the slope, taking the difference between its two "and" numbers and dividing by the difference between the two "x" number of the following: (2-10) / (27-70) = (-8) / (-43) = 8 / 43 Now you have y = (8 / 43) x + b. Connect the "x" and "y" numbers of its two points to solve for b 2 = (8 / 43) (27) + bb = 43/108 So your equation is y = (8 / 43) x 43 / 108 "x" represents "and" quality and represents the market share. So to question 4, plug 11 as your "and" courage and resolve of the quality of product "x" for estimate: 11 = (8 / 43) x 43 / 108 1145 / 108 = (8 / 43) xx = 57 (after rounding) It seems that quality assessment is very close to average. Hope that helps.
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