Question

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Answer 1

Solution:

a) The scatter plot graph is drawn for Steps Vs Minutes which is shown below

scatter plot 40 10 2000 6000 steps 8000 10000 12000

the above plot shows the linear relationship between steps and minutes.

b)

Linear regression is done its result

the best fitted line is given as Y(steps) = a + b X(minutes)

Coefficients Standard Error tstat P-value Lower 95% Uber 95% Lower 95.0% Upper 95.0% Intercept9 minutes 9.70500628 0.005596929 0.000610876 9.162142 2.24E-13 0.004377276 0.006816581 0.004377276 0.006816581 3 3.509907732.76503 0.007372-16.71276317 2.697249392 -16.71276317 -2.697249392

Y= -9.705 + 0.0055 X.

The hypothesis are

H0: There is no linear relationship between Steps and Minutes walked.

H1: There is linear relationship between Steps and Minutes walked.

the significance level is fixed at 5%

the above results shows p value as 0.007 which is less than 0.05 so there is no significant evidence to accept null hypothesis, therefore there is linear relationship between steps and minutes walked.

d) the plot of linear regression is as follows

scatter plot 0.0056x-9.705 60 50 40 n 30 E 20 10 6000 8000 10000 2000 4000 10 steps