Question

A random sample of 11 university students produced the following data, where x is the minutes spent studying per day, and y is the first exam score (out of a maximum of 100 points). The data are presented below in the table of values.x y11 3913 5514 4317 4619 6922 7524 7725 7828 7731 9334 92What is the value of the intercept of the regression line, b, rounded to one decimal place?Provide your answer below:

Answer 1

Answer:

16.373,16.4

Step-by-step explanation:

Given that a  random sample of 11 university students produced the following data, where x is the minutes spent studying per day, and y is the first exam score (out of a maximum of 100 points).

x y

11 39

13 55

14 43

17 46

19 69

22 75

24 77

25 78

28 77

31 93

34 92 Observations 11        

       

ANOVA        

df SS MS F Significance F    

Regression 1 3214.095153 3214.095153 69.46052448 1.59367E-05    

Residual 9 416.4503017 46.27225574      

Total 10 3630.545455      

       

Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%

Intercept 16.37281677 6.48384963 2.525169105 0.0324919 1.705329914 31.04030362 1.705329914 31.04030362

x 2.369323595 0.28428592 8.33429808 1.59367E-05 1.726224167 3.012423023 1.726224167 3.012423023

We get regression line as y =2.369x+16.373

a) value of intercept = 16.373

b) 16.4