Think about the accompanying perceptions on the free factor X and the needy variable Y

x y 80 5.0 100 6.7 75 4.7 115 4.2 75 4.5 110 5.5 70 3.2 105 6.4 65 2.0 105 6.8 100 6.5 100 7.2 95 6.0 130 2.0 90 5.5 125 2.9 85 5.2 120 3.8

(a) Plot the scattergram for these information. (b) Does it seem sensible that a straight relapse could be utilized for these information? (c) Sketch. by eye. a direct relapse line on the scattergram to some degree (a).

Question 2

For every one of the three after informational indexes, plot a scattergram and abstractly state whether apparently a straight relapse will (I) fit the information well, (ii) give just a reasonable fit, or (iii) fit the information ineffectively:

(a) x 5 15 25 35 45 50 (b) x 10 5 18 10 20 25 30 32 40 45 50 15 10 22 15 32 20 35 30 40 15 50 (c) 40 35 30 22 14 7

Question 3

The connection between energy utilization and family pay was examined, yielding the accompanying information on family pay X (in units of $1000/year) and energy utilization Y (in units of 108 Btu/year).

Energy utilization (y) Family pay (x) 1.8 20.0 3.0 30.5 4.8 40.0 5.0 55.1 6.5 60.3 7.0 74.9 9.0 88.4 9.1 95.2

(a) Plot a scattergram of these information.

(b) Gauge the straight relapse condition pyix = po+

(c) If x = 50 (family pay of $50,000), gauge the normal energy devoured for families of this pay. What might your gauge be for a solitary family?

(d) What amount would you anticipate that the change in consumption should be if any family pay increments $2000/year (2 units of $1000)?

(e) What amount would you anticipate that consumption should change if any family pay diminishes $2000/year?

Question 4

A specific kind of force brush is a wheel made of wire strands broadening outward around a center point. It is utilized for some reasons, for example, completing aluminum bike edges, creating a matte completion on plastic, and eliminating burrs from gear teeth. The more limited the wire length and the coarser the wire, the more extreme is the polishing activity. An examination is led to build up a graph for proposed utilization of the wheel. Tests are directed on a 2-in.- brush-distance across wheel. These information are acquired:

x (rpm x 1000) y (surface ft/min canvassed in eliminating burrs) 1.0 525, 520, 527 1.5 785, 780, 790 1.75 915, 900, 922 2.5 1300, 1295, 1310 3.0 1575, 1565, 1582 4.0 2100, 2110. 2090 6.0 3125, 3120, 3133 10.0 5250, 5256. 5245

(a) Sketch a scattergram for these information. (b) Gauge the relapse line.

(c) Gauge the surface feet each moment that can be covered when a wheel of this sort is utilized at 3450 cycles each moment (rpm).