Question

The data below are the quiz scores of 10 randomly selected statistics students and the number of hours they studied for the quiz.

Hours, x= 3, 5, 2, 8, 2, 4, 4, 5, 6, 3

Scores, y= 65, 80, 60, 88, 66, 78, 85, 90, 90, 71

What is the best predicted value for the quiz score for a student who studied 2 hours?
Assume that the variables x and y have a significant correlation.

Group of answer choices

67

65

66

64

Answer 1

solution:-

given by the above information

the regression line is

=> y^ = 56.114+5.044 x

explanation for the regression line

X Y XY Χ. Χ 3 65 195 9 5 80 400 25 2 60 120 4 8 88 704 64 2 66 132 4 4 78 312 16 4 85 340 16 5 90 450 25 6 90 540 36 3 71 213 9 Find the sum of every column: ΣΧ = 42, ΣΥ = 773, ΣΧΥ = 3406, ΣΧ= 208 Use the following equations to find a and b: a ΣΥΣΧ? – ΣΧ. ΣΧΥ η-ΣΧ2 – (Σ Χ)? 773 - 208 – 42 - 3406 10 - 208 – 422 & 56.114 6 = - η-ΣΧΥ – ΣΧ.ΣΥ η-ΣΧ2 – (Σ Χ)? 10 - 3406 – 42 - 773 10 - 208 – (42)? & 5.044 Substitute a and b in regression equation formula και = α + 6.1 9 56.114 + 5.044.1

the best predicted value for the quiz score for a student who studied 2 hours

=> y^ = 56.114+5.044 x

=> y^ = 56.114+5.044(2)

=> y^ = 66