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garik1379 [7]
3 years ago
10

On the beach boardwalk, there 20 different places to get food. Twenty percent of them are ice cream shops. How many ice cream sh

ops are in the park
Mathematics
1 answer:
balu736 [363]3 years ago
7 0
20/100
= 0.2

0.2 x 20
= 4

4 of the shops are ice cream shops.
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The following data show the brand, price ($), and the overall score for 6 stereo headphones that were tested by Consumer Reports
Olenka [21]

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

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               r = 0.917

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