Question

An instructor asked a random sample of eight students to record their study times at the beginning of a course. She then made a table for total hours studied​ (x) over 2 weeks and test score​ (y) at the end of the 2 weeks. The table is given below. Complete parts​ (a) through​ (f).

x	9	13	13	18	10	16	15	23
y	92	78	83	78	86	79	83	83

a. Find the regression equation for the data points.

ModifyingAbove y with caretyequals=nothingplus+left parenthesis nothing right parenthesisx

​(Round to two decimal places as​ needed.)

b. Graph the regression equation and the data points.

A.

03070100Hours StudiedTest Score

A scatterplot has a horizontal axis labeled Hours Studied from 0 to 30 in increments of 2.5 and a vertical axis labeled Test Score from 70 to 100 in increments of 2.5. The following points are plotted: (9, 78); (13, 92); (13, 87); (18, 92); (10, 84); (16, 91); (15, 87); (23, 87). A line rises from left to right and passes through the points (10, 84.5) and (20, 90.5). The line passes above some of the plotted points and below others. All coordinates are approximate.

B.

03070100Hours StudiedTest Score

A scatterplot has a horizontal axis labeled Hours Studied from 0 to 30 in increments of 2.5 and a vertical axis labeled Test Score from 70 to 100 in increments of 2.5. The following points are plotted: (9, 86.5); (13, 83); (13, 83.5); (18, 80); (10, 85.5); (16, 81.5); (15, 82.5); (23, 78). A line falls from left to right and passes through the points (10, 85.5) and (20, 79.5). The line passes close to all of the plotted points. The line passes above some of the plotted points and below others. All coordinates are approximate.

C.

03070100Hours StudiedTest Score

A scatterplot has a horizontal axis labeled Hours Studied from 0 to 30 in increments of 2.5 and a vertical axis labeled Test Score from 70 to 100 in increments of 2.5. The following points are plotted: (9, 83.5); (13, 87); (13, 86.5); (18, 90); (10, 84.5); (16, 88.5); (15, 87.5); (23, 92). A line rises from left to right and passes through the points (10, 84.5) and (20, 90.5). The line passes close to all of the plotted points. The line passes above some of the plotted points and below others. All coordinates are approximate.

D.

03070100Hours StudiedTest Score

A scatterplot has a horizontal axis labeled Hours Studied from 0 to 30 in increments of 2.5 and a vertical axis labeled Test Score from 70 to 100 in increments of 2.5. The following points are plotted: (9, 92); (13, 78); (13, 83); (18, 78); (10, 86); (16, 79); (15, 83); (23, 83). A line falls from left to right and passes through the points (10, 85.5) and (20, 79.5). The line passes above some of the plotted points and below others. All coordinates are approximate.

c. Describe the apparent relationship between the two variables.

A.

Test Score tends to increase as Hours Studied increases.

B.

Test Score does not appear to change as Hours Studied increases.

C.

Test Score tends to decrease as Hours Studied increases.

D.

There is no apparent relationship between Test Score and Hours Studied.

d. Identify the predictor and response variables.

A.

The predictor variable is Hours Studied and the response variable is Test Score.

B.

The predictor variable is Number of Students and the response variable is Hours Studied.

C.

The predictor variable is Test Score and the response variable is Hours Studied.

D.

The predictor variable is Number of Students and the response variable is Test Score.

e. Identify outliers and potential influential observations.

A.

There is one outlier and there are no influential observations.

B.

There are no outliers and no influential observations.

C.

There is at least one outlier and at least one influential observation.

D.

There are no outliers and there is one influential observation.

f. Predict the score for a student that studies for

1313

hours.The predicted score is

nothing.

​(Round to the nearest whole number as​ needed.)

Click to select your answer(s).

Answer 1

Excel output :-

a. Find the regression equation for the data points.

Answer :-

b. Graph the regression equation and the data points.

Answer : option .

c. Describe the apparent relationship between the two variables.

Answer : option Test Score tends to decrease as Hours Studied increases.

d. Identify the predictor and response variables.

Answer : option The predictor variable is Hours Studied and the response variable is Test Score.

e. Identify outliers and potential influential observations.

Answer : option There is one outlier and there are no influential observations.

f. Predict the score for a student that studies for 13 hours.

Answer : - The predicted score is :