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The table is missing, so i have attached it.
Answer:
Regression equation is;
y = 0.2028x - 8.443
The predicted value is not at all close to the actual novel rate
Step-by-step explanation:
The internet users will be the x-values while the novel laureates will be the y-values.
Thus, sum of x values is;
Σx = 79.5 + 79.6 + 56.8 + 67.6 + 77.9 + 38.3 = 399.7
Sum of y values is;
Σy = 5.5 + 9 + 3.3 + 1.7 + 10.8 + 0.1
Σy = 30.4
Σx² = 79.5² + 79.6² + 56.8² + 67.6² + 77.9² + 38.3²
Σx² = 27987.71
Σy² = 5.5² + 9² + 3.3² + 1.7² + 10.8² + 0.1²
Σy² = 241.68
Σxy = (79.5 × 5.5) + (79.6 × 9) + (56.8 × 3.3) + (67.6 × 1.7) + (77.9 × 10.8) + (38.3 × 0.1)
Σxy = 2301.16
The regression line will be;
y = b1(x) + b0
b1 is expressed as;
b1 = [nΣxy - (Σx • Σy)]/[nΣx² - (Σx)²]
Where n is number of given data which is n = 6.
Thus;
b1 = [(6 × 2301.16) - (399.7 × 30.4)]/[(6 × 27987.71) - (399.7)²]
b1 = 1656.08/8166.17
b1 = 0.2028
b0 is expressed as;
b0 = [(Σy • Σx²) - (Σx • Σxy)]/[nΣx² - (Σx)²]
b0 = [(30.4 × 27987.71) - (399.7 × 2301.16)]/[(6 × 27987.71) - (399.7)²]
b0 = -68947.268/8166.17
b0 = -8.443
Thus, regression equation is;
y = 0.2028x + (-8.443)
y = 0.2028x - 8.443
Best predicted value is given as;
y¯ = (Σy)/n
y¯ = 30.4/6
y¯ = 5.067 per 10 million people.
The predicted value is far greater than the actual value of 2 per 10 million people.
Thus, we can say that the predicted value is nowhere close to the actual value
The real-life problem will be:- The total number of chocolates is 24 and there are 3 boxes what will be the number of chocolates filled in each box. The number of chocolates in each box will be 8.
<h3>What is an expression?</h3>Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression is:-
= 8
The real-life problem will be given the as:-The total number of chocolates is 24 and there are 3 boxes what will be the number of chocolates filled in each box. The number of chocolates in each box will be 8.
Hence the number of chocolates in each box will be 8.
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