Question 2:17 pts
The data in the table show the number of classes offered at two different schools. Find the correlation
coefficient and the equation of the line of best fit for the data. Treat the number of classes in School A as
the independent variable
Class
1
11
E
IV
<
S
VII VIII
IX
25
24
30
35
35
46
SO
42
School A
School B
20
20
20
29
34
39
29
3450
Or0.37
B 0.56A +17.68
Or-0.37
B 0.63A+791
Or0.60
B 0.56A-17.68
O 0.60
B 0.65A+7.91
Question : 17 pts

Question

23-09-2021
Mathematics

contestada

Question 2:17 pts
The data in the table show the number of classes offered at two different schools. Find the correlation
coefficient and the equation of the line of best fit for the data. Treat the number of classes in School A as
the independent variable
Class
1
11
E
IV
<
S
VII VIII
IX
25
24
30
35
35
46
SO
42
School A
School B
20
20
20
29
34
39
29
3450
Or0.37
B 0.56A +17.68
Or-0.37
B 0.63A+791
Or0.60
B 0.56A-17.68
O 0.60
B 0.65A+7.91
Question : 17 pts

Respuesta :

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fichoh fichoh · Answer 1 · 2021-10-02T07:31:23+02:00

The regression model is the equation of the linear relationship obtained by fitting values of two variables using a linear regression. Hence, the linear equation for the data is Y = 0.65X + 7.91

The Correlation Coefficient, R gives the type and strength of the relationship between two variables. The R value of the data is 0.605, which could be interpreted to mean a strong positive association between school A and school B.

Using technology such as Excel or linear regression calculator ; the model equation obtained by fitting the data is Y = 0.65X + 7.91

Where ;

Y = Predicted variable
X = predictor variable
Slope = 0.65
Intercept = 7.91

The Correlation Coefficient, R = 0.605, depicting a strong positive association.

Therefore, the most appropriate options from the options given are :

Y = 0.65X + 7.91
R = 0.60

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