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  3. 2. a student collected data on the number of large

2. A student collected data on the number of large pizzas consumed, y, while x students...

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Statistics

2. A student collected data on the number of large pizzasconsumed, y, while x students were watching a professional footballgame on TV. The data from five games are given in table below.Number of students, x 2 5 6 3 4 Number of large pizzas, y 1 6 10 35 Please show work for full credit.

(e) Interpret your interval from part (d). (f) Calculate r2(follow steps on page 92).

(g) Interpret r2.

(h) Compute linear correlation coecient r (follow steps on page93).

(i) Interpret r.

Answer & Explanation Solved by verified expert
3.8 Ratings (352 Votes)

using excel>data>data analysis >Regression

we have

SUMMARY OUTPUT
Regression Statistics
Multiple R 0.97913
R Square 0.958696
Adjusted R Square 0.944928
Standard Error 0.795822
Observations 5
ANOVA
df SS MS F Significance F
Regression 1 44.1 44.1 69.63158 0.003608
Residual 3 1.9 0.633333
Total 4 46
Coefficients Standard Error t Stat P-value Lower 95% Upper 95%
Intercept -3.4 1.067708 -3.18439 0.049925 -6.79792 -0.00208
x 2.1 0.251661 8.344554 0.003608 1.299102 2.900898

(f) R2 =0.9587

(g) About 95.87% variation in number of large pizzas can be explained by the Number of students watching a professional football game on TV.

(h) the linear correlation coefficient r = 0.9791

i) there is a strong positive linear relationship between number of large pizzas and the Number of students watching a professional football game on TV.
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