From the data below; 2 Х1 3 4 5 4 уг 8 6 12 15 a) Compute the mean square error b) Compute the standard error of the estimate c) Compute the estimated standard deviation of bl d) Use the t-test to test the following hypothesis (a .05) Ho B1 0 Ha: Bl 0 e) Use the F-test to test the hypotheses in part (d) at a 0.5 level of significance. Present in the analysis of variance format
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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a) Computation of mean square error:
Step-by-step procedure to obtain the mean square error using EXCEL software:
- Create the variable time in first column and 2 indicator variables in second and third columns.
- Select Data > Data Analysis > Regression.
- Click OK.
- Under Input Y Range enter $B$1:$B$6.
- Under Input X Range enter $A$1:$A$6.
- Check Labels.
- Click OK.
Output using EXCEL software is given below:
Mean square error:
From the ANOVA table in the output, the mean square error of the regression is found to be 67.6.
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