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ecurel Secure l https://wwww.mat yerHomework.aspx?homewor kld-493 750585&question Id-1 7&flushed = false&cld-5 1 2 ice yes Erica Ulrich &19/23/18 204 PM MATH120 1001 Sum 18 Homework: Homework Week2 Score: 0.14 of 1 pt 17 of 19 (19 complete) HW Score: 853496, 1621 of 19 pts & 9.2.19-T Question Help Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The number of hours 6 students spent for a test and their scores on that test are shown below (a) x#2 hours (c) x = 12 hours (b) x 2.5 hours (d) x = 1.5 hours 68 Hours studying Hours studying Hours studying Hours studying o) Predict the value afy for x*2 Chose the corect answer below OA. 47.9 O B. 50.2 . 455 O D. not meaningfu Click to select your answer and then click Check Answer 2 parts to search

Explanation / Answer

The regression equation can be found using the statistical software R. The equation is given below:

x<-c(0,1,2,4,5,5)
> y<-c(36,45,52,49,61,68)
> lm(y~x)

Call:
lm(formula = y ~ x)

Coefficients:
(Intercept) x  
38.328 4.766

Hence the equation is Y=38.328+4.776*X

Hence the (d) scatter plot is the right option.

For x=2,

Y=38.328+4.776*2

=38.328+9.552

=47.88=47.9

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