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BigorU [14]
3 years ago
8

Figure 1 and figure 2 are show on the coordinate plane below.

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Answer:

Which series of transformations can be used to prove that figure 1 is congruent to figure 2?

Step-by-step explanation:

rotation of 90° counterclockwise about the origin and then translation 5 units left

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Complete Question

The complete question is shown on the first uploaded image

Answer:

a

SST = 1800

SSR = 1512.376

SSE = 287.624

b

coefficient of determination  is r^2 \approx 0.8402

What this is telling us is that 84.02% variation in dependent variable y can be fully explained by variation in the independent variable x

c

The correlation coefficient is   r = 0.917

Step-by-step explanation:

The table shown the calculated mean is shown on the second uploaded image

Let first define some term

SST (sum of squares total) : This is the difference between the noted dependent variable and the mean of this noted dependent variable

SSR(sum of squared residuals) : this can defined as a predicted shift from the actual observed values of the data  

SSE (sum of squared estimate of errors): this can be defined as the  sum of the square difference between the observed value and its mean

From the table

  SST = SS_{yy} = 1800

  SSR = \frac{SS^2_{xy}}{SS_{xx}} = \frac{4755^2}{14950} = 1512.376

  SSE =SST-SSR

          =1800 - 1512.376

           = 287.62

The coefficient of determination is mathematically represented as

               r^2 = \frac{SSR}{SST}

                    = 1-\frac{SSE}{SST}

                   r^2= 1-\frac{287.6237}{1800}

                  r^2 \approx 0.8402

The correlation coefficient is mathematically represented as

           r = \pm\sqrt{r^2}

Substituting values

            r = \sqrt{0.84020}

               r = 0.917

this value is + because the value of the coefficient of x in estimated regression equation(24.9 + 0.301x,) is positive

         

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