In a study of the relationship between marble ownership and household income, the Grinch interviewed a simple random sample of 160 Who-Households, and generated the following summary statistics: x = 4.2 Sx = 0.7 ỹ = 15.6 Sy = 2.8 rxy = 0.825 where = 'x monthly income of the ith household, measured in $1000s. Yi = weight of marbles owned by ith household, measured in Ibs. Using these statistics to find the regression equation for predicting marble weight from income, the estimated mean weight of marbles owned by all Who-households with monthly incomes of $3000
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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